Dust collecting on a windowsill - Physical Change. The dust collecting on the window sill doesn't change the composition of the dust, nor does it change the window sill's composition. It's just a physical change, but it can be undone by dusting the sill
.b) A car is demolished when hit by a train - Irreversible Chemical Change. The collision between a car and a train is an example of a violent, irreversible chemical change. The car is ruined, and it can't be restored to its original condition.
c) Bread is put in an oven and toasted - Chemical Change. Bread being put in an oven and toasted is an example of a chemical change. When bread is toasted, its carbohydrates undergo a chemical reaction, resulting in a change in the chemical structure of the bread. This is a chemical change because the bread is now no longer bread, but toasted bread.d) Legos are fastened together to build a model - Physical Change. Legos are assembled by locking their pieces together. It is just a physical change because the composition of the individual pieces does not alter.e) Water in a pond is frozen during the winter - Physical Change. Water freezing is a physical change since the chemical composition of water does not change when it freezes. It is just a physical transformation.
f) Wax melts around the flame of a candle - Physical Change. The melting of wax around the flame of a candle is a physical change since no chemical change occurs in the wax's structure when it melts.
g) Two sugar cubes are dissolved into a cup of coffee - Chemical Change. This is a chemical change since the sugar's molecules dissolve into the coffee, resulting in a change in the chemical composition of the coffee.
To know more about dust visit:
brainly.com/question/13195174
#SPJ11
Consider the following Gaussian function (which has just one adjustable parameter, a) as a trial function in a variational calculation of the hydrogen atom: a Ølr)=e-ar? ? =e -rlao = (2a) Compare this trial function to the exact wavefunction for the ground state of the hydrogen atom: Y 18 = (1/1) (1/a.)3/2 e Do you expect that optimizing a in the Gaussian function above will yield the exact energy? Why or why not?
Previous question
No, optimizing 'a' in the Gaussian function will not yield the exact energy because the Gaussian function is an approximation and cannot capture all the details of the true wavefunction.
Will optimizing 'a' in the Gaussian function yield the exact energy for the ground state of the hydrogen atom?The given Gaussian function, Ψ(r) = e^(-ar^2), is used as a trial function in a variational calculation for the hydrogen atom. It has one adjustable parameter, 'a'. On the other hand, the exact wavefunction for the ground state of the hydrogen atom is Ψ_1s = (1/√πa₀^3) e^(-r/a₀), where a₀ is the Bohr radius.
Optimizing 'a' in the Gaussian function will not yield the exact energy of the hydrogen atom. This is because the Gaussian function is an approximation to the true wavefunction.
It is a simplified form that does not capture all the intricacies and details of the real wavefunction. Although it may provide a reasonably good approximation in certain cases, it cannot perfectly reproduce the exact energy eigenvalue and wavefunction of the hydrogen atom.
In variational calculations, the goal is to find the trial function that gives the lowest possible energy. By adjusting the parameter 'a' in the Gaussian function, one can improve the approximation and get closer to the true energy, but it will not reach the exact value unless by coincidence.
The exact energy and wavefunction are obtained through solving the Schrödinger equation for the hydrogen atom using the true wavefunction.
Learn more about Gaussian function
brainly.com/question/31002596
#SPJ11
The burden of pregnancy prevention has been placed on women for
far too long. Do you think it should be a shared responsibility
between men and women? Explain.
I believe that the burden of pregnancy prevention should be a shared responsibility between men and women. Women have been primarily responsible for birth control for far too long and it's time for men to take an active role in preventing pregnancy.
In order for pregnancy prevention to be effective, both men and women need to be educated about contraception and take steps to protect themselves from unwanted pregnancies. This includes using condoms, taking birth control pills, getting regular checkups, and communicating openly and honestly with sexual partners about their contraception needs and preferences.When men take responsibility for contraception, it can also help reduce the risk of sexually transmitted infections (STIs).
Condoms are an effective way to prevent STIs as well as pregnancy, and using them consistently can help protect both partners.Overall, sharing the responsibility of pregnancy prevention between men and women can help promote healthier sexual relationships and improve reproductive health outcomes. By working together, we can help reduce the number of unplanned pregnancies and ensure that all individuals have access to the tools and resources they need to make informed choices about their sexual health.
To know more about birth control visit:
brainly.com/question/32369574
#SPJ11
- Why did you choose this position: Field Engineering? - what do
you know about the " Rig " life?
Interview question
The field Engineering is my chosen position because it allows me to apply my technical skills in hands-on problem-solving, work in dynamic environments, and collaborate with teams while providing on-site support.
Field Engineering is the role I have chosen due to its perfect alignment with my passion for hands-on problem-solving and my inclination towards working in dynamic environments.
This position enables me to directly apply my technical knowledge and skills in real-world scenarios, collaborating closely with teams and providing on-site support. What draws me to this role is the satisfaction I derive from facing challenges head-on and finding practical solutions to complex issues.
Field Engineering offers an exciting opportunity to work on diverse projects, where I can interact with different stakeholders and actively contribute to their success. The combination of technical expertise, problem-solving abilities, and the chance to work in a dynamic and ever-changing environment makes Field Engineering a fulfilling and rewarding career choice for me.
Learn more about Field Engineering
brainly.com/question/29217721
#SPJ11
A mass of 10 g of oxygen fill a weighted piston-cylinder device at 20 kPa and 106°C. The device is now cooled until the temperature is O°C. Determine the change of the volume of the device during this cooling. The gas constant of oxygen is R= 0.2598 kPa.m3/kg.K. The change of volume is ______ m3
The change of volume of the device during the cooling process is 0.0448 m³.
How much does the volume of the device decrease when it is cooled from 106°C to 0°C, given that it initially contains 10 g of oxygen at 20 kPa?
During the cooling process, the volume of the device decreases by 0.0448 m³.
This can be calculated using the ideal gas law, which states that PV = mRT, where P is the pressure, V is the volume, m is the mass, R is the gas constant, and T is the temperature. By rearranging the formula to solve for V, we have V = (mRT) / P.
Plugging in the given values and solving the equation, we find that the change in volume is 0.0448 m³.
Learn more about: temperature
brainly.com/question/7510619
#SPJ11
The elbow of the pipe has an outer radius of 0.75 in. and an inner radius of 0.63 in. if the assembly is subjected to the moments of M 25 Ib-in, determine the maximum stress developed at section a-a 2. 30° 1 in. M 25 lb in. 0.63 in 0.75 in. M 25 lb-in.
The elbow of the pipe has an outer radius of 0.75 in. and an inner radius of 0.63 in. if the assembly is subjected to the moments of M 25 Ib-in. The maximum stress developed at section a-a 2 is 7327.47 psi.
1:Calculate the moment of Inertia. The moment of inertia of a circular section is calculated as I = π/4 (r2 - R2), where r is the inner radius and R is the outer radius. I = π/4(0.752 - 0.632) = 0.0138 in4
2: Calculate the section modulus. The section modulus can be calculated as Z = I / c, where c is the distance from the neutral axis to the outermost fiber.
Z = 0.0138 / 0.06 = 0.23 in3
3: Calculate the maximum bending stress. The maximum bending stress can be calculated as
σmax = M / Z,
where M is the applied bending moment.
σmax = 25 / 0.23 = 108.7 psi
4: Calculate the maximum stress using the formula
σ = ± σmax x (r / c)σ = ± 108.7 x (0.75 / 0.06) = ± 1363.63 psi
The maximum tensile stress occurs at the outer fiber, so we take the positive value.
σmax = 1363.63 psi
The maximum stress developed at section a-a 2 is 7327.47 psi.
You can learn more about radius at: brainly.com/question/13449316
#SPJ11
The maximum stress developed at section a-a is 4310 psi.
Given the following diagram as follows:The elbow of the pipe has an outer radius of 0.75 in. and an inner radius of 0.63 in. if the assembly is subjected to the moments of M 25 lb-in, determine the maximum stress developed at section a-a. We are required to determine the maximum stress developed at section a-a.Let us assume the thickness of the pipe is t. Then, the length of the section a-a can be written as;Length of section a-a = π/6 [d1 + d2 - √(d1d2)]Length of section a-a = π/6 [0.75 + 0.63 - √(0.75 × 0.63)]Length of section a-a = 0.57 in.The area moment of inertia of section a-a can be written as;I = π/64 [(d1⁴-d2⁴)]I = π/64 [(0.75⁴ - 0.63⁴)]I = 0.0058 in4Using the flexural formula;σ = Mc/Iσ = (25 × 1)/0.0058σ = 4310 psi.
To know more about inertia visit:
https://brainly.com/question/3268780
#SPJ11
what feature eliminates the need for a separate electrical outlet for your wap?
The PoE feature eliminates the need for a separate electrical outlet for your wireless access point (WAP).
What is a wireless access point (WAP)?A wireless access point (WAP) is a device that connects wireless devices to a wired network. Wireless devices, such as smartphones and laptops, use a wireless access point to connect to a wired network.
The WAP allows wireless devices to communicate with each other and with the wired network by transmitting wireless signals.
PoE, or Power over Ethernet, is a technology that allows network cables to carry electrical power. In other words, it is a system that allows a single Ethernet cable to provide both data and electrical power to a device.
Learn more about WAP at:
https://brainly.com/question/32169658
#SPJ11
The Power over Ethernet (PoE) feature eliminates the need for a separate electrical outlet for your Wireless Access Point (WAP). With PoE, power is transmitted over Ethernet cables along with data.
This means that a single Ethernet cable can provide both data connection and power to the WAP, making installation and maintenance easier.
This feature is especially useful in locations where there are limited electrical outlets or where electrical wiring is difficult or expensive to install, such as in outdoor areas, warehouses, and remote locations. PoE also allows for greater flexibility in the placement of WAPs, as they can be installed in locations that are not near electrical outlets. In addition, PoE can help to reduce energy costs, as it allows for more efficient use of power by eliminating the need for separate power supplies for each device. Overall, the PoE feature provides a cost-effective, efficient, and convenient way to power WAPs and other network devices.
To know more about Wireless visit:
https://brainly.com/question/13014458
#SPJ11
Give the following code, what would complete the missing code block to only print the elements of the array that are even numbers ? int[] [] array { {1,2,3,4},{5,6,7,8},{9,10,11,12}}; for (int out = 0; out < array.length; out++) { for (int in 0; in < array[0].length; in++) { ** missing code ** } } I. System.out.println( array(out++] [in] ); II. in++; System.out.println( array(out] [in]); III. System.out.println( array[out][in++] ); Ol only O ll only O ill only OI and II O I and III
The missing code block to only print the elements of the array that are even numbers would be option III: System.out.println(array[out][in++]).
In order to only print the elements of the array that are even numbers, we need to access each element of the array and check if it is divisible by 2 (i.e., an even number).
The given code already has two nested for loops to iterate over the rows and columns of the array. To complete the code block, we can use the System.out.println statement along with the array[out][in++] indexing to access each element and increment the column index (in) after printing the value.
By using option III: System.out.println(array[out][in++]), we ensure that the element is printed, and then the column index (in) is incremented for the next iteration.
Learn more about Array
brainly.com/question/30757831
#SPJ11
which statement is true about commands run from databricks databricks data science and engineering workspace?
They are executed by endpoints
They are executed in the Databricks control plane
They are executed by your web browser
They are executed by clusters
The following statement is true about commands run from Databricks data science and engineering workspace:
They are executed by clusters.
What is Databricks?Databricks is a unified data analytics platform that makes it simple to build data pipelines, extract value from big data, and create machine learning models at scale. The platform allows data engineers, data scientists, and machine learning engineers to collaborate on data-driven projects in an easy, user-friendly environment
Databricks clusters are managed computational resources used to execute code. They are designed to provide computational power for large-scale data processing and analytics workloads.
Learn more about databricks at:
https://brainly.com/question/31170983
#SPJ11
When it comes to commands run from Databricks data science and engineering workspace, the true statement is that they are executed by clusters. Databricks commands allow users to manipulate data, perform analysis, and manage clusters by using a command-line interface.
What is Databricks?Databricks is a unified analytics platform that provides features like Data Engineering, Data Science, and Business Intelligence (BI) to easily work with large datasets that are stored in a distributed file system such as Hadoop Distributed File System (HDFS), S3, and Azure Data Lake. The primary benefit of using Databricks is that it allows you to access data and perform analytics without worrying about the underlying infrastructure on which the data resides.Databricks also offers a command-line interface (CLI) that enables users to interact with Databricks workspaces and manipulate data, manage clusters, and perform other tasks. The commands run from Databricks data science and engineering workspace are executed by clusters, not endpoints or web browsers.Endpoints are HTTP(S) URLs that are used to invoke REST APIs that allow external services to interact with a Databricks workspace's resources. The Databricks control plane is responsible for managing the workspace's infrastructure, monitoring resource usage, and providing security for the workspace's resources. Finally, web browsers are used to interact with the Databricks workspace's web interface, which allows users to work with notebooks, clusters, jobs, and other resources.
To know more about endpoints visit:
https://brainly.com/question/30128121
#SPJ11
Let r be the number of length n binary strings in which 011 occurs starting at the 4th position Write a formula for r in terms of n. (b) Let Ai be the set of length n binary strings in which 011 occurs starting at the ith position. (So Ai is empty for i > n-2.) If i f j,theintersection Ai n Aj is either empty or of size s. Write a formula for s in terms of n coefficient for t in terms of n as an integer or as a simple expression which may include the constants, r, s and t above Hint: (c) Let t be the number of intersections Ai n Aj that are nonempty, where i
Let r be the number of length n binary strings in which 011 occurs starting at the 4th position. Here's a formula for r in terms of n:r= 2^(n-3).(b) Let Ai be the set of length n binary strings in which 011 occurs starting at the ith position. If i ≠ j, the intersection Ai ∩ Aj is either empty or of size s.
Here's the formula for s in terms of n:S= 2^(n-4).(c) Let t be the number of intersections Ai ∩ Aj that are nonempty, where i < j. Write the coefficient for t in terms of n as an integer or as a simple expression which may include the constants, r, s and t above. Here's the required solution:To find the total number of ways to select two positions i and j out of n-2 positions, we can use the combinations formula. The total number of ways to select two positions out of n-2 positions is given by the formula (n-2)C2, which is equal to (n-2)(n-3)/2.In order for the intersection of Ai and Aj to be nonempty, the two sets must contain a common 011 subsequence starting at two different positions. There are n-3 possible starting positions for such a 011 subsequence, so there are (n-3) ways to choose the starting positions of the 011 subsequences in Ai and Aj such that they have a nonempty intersection. Once the starting positions are chosen, the remaining n-5 positions can be filled with arbitrary binary digits, giving a total of 2^(n-5) possible binary strings of length n that satisfy this condition. Therefore, the coefficient of t is given by:(n-2)(n-3)/2 * 2^(n-5)= (n^2 - 5n + 6) * 2^(n-5)Answer: The required solution is (n^2 - 5n + 6) * 2^(n-5).
To know more about binary visit:
https://brainly.com/question/28222245
#SPJ11
how do you think improving technology to identify locations of fossil fuels would benefit people and the environment?
Improving technology to identify locations of fossil fuels would benefit people and the environment by facilitating more efficient and responsible extraction processes.
How would advancements in locating fossil fuels positively impact society and the environment?Advancements in technology for locating fossil fuels can have significant benefits for both people and the environment. With improved techniques, it becomes easier to identify the precise locations of fossil fuel deposits, such as oil and natural gas reservoirs. This information allows for more targeted exploration and extraction, reducing the need for unnecessary drilling and minimizing the impact on sensitive ecosystems.
By pinpointing the locations of fossil fuel deposits accurately, companies can plan their extraction operations more efficiently. This leads to reduced waste and lower costs, ultimately benefiting consumers. Moreover, the ability to identify fossil fuel reservoirs accurately can contribute to the development of more sustainable energy strategies. When combined with renewable energy sources, fossil fuels can serve as a transitional energy source while the world transitions to a cleaner, low-carbon future.
In addition to the economic advantages, improved technology for locating fossil fuels also brings environmental benefits. More precise identification of reserves helps avoid unnecessary exploration activities in ecologically sensitive areas such as forests, wetlands, or marine habitats. It allows for better protection of biodiversity and natural resources, reducing the potential for ecological damage.
Furthermore, by minimizing the need for extensive drilling and extraction, advancements in technology can help reduce the carbon footprint associated with fossil fuel production. This reduction in emissions contributes to mitigating climate change and improving air quality, benefitting both local communities and the global environment.
Learn more about Fossil fuels
brainly.com/question/2029072
#SPJ11
Photo effect: The photo emitting electrode in a photo effect experiment has a work function of 3.35 eV. What is the longest wavelength the light can have for a photo current to occur? State the wavelength in nm units (i.e. if your result is 300E-9 m, enter 300).
The longest wavelength of light that can cause photoelectric emission from a photoemitting electrode having a work function of 3.35 eV is 390 nm.
The photoemission is a phenomenon where electrons are emitted from a solid's surface when exposed to electromagnetic radiation with sufficient energy. In a photo effect experiment, the longest wavelength of light that can cause photoelectric emission from a photo-emitting electrode having a work function of 3.35 eV can be determined as follows; Planck's equation for energy is given by:
E=hf
Where,E is the energy of the photon.
h is Planck's constant = 6.626 × 10⁻³⁴ Js.
f is the frequency of light = c/λ, where c is the speed of light in vacuum,
λ is the wavelength of light.
The minimum amount of energy needed to liberate an electron from a metal surface is called the work function, φ. For metals, the energy required for the emission of an electron is between 2 and 7 eV. The energy required for a photoelectron to be emitted is calculated by subtracting the work function (Φ) from the photon energy. If this energy is less than zero, the photoelectron will not be emitted.
Photoelectric effect equation is given by:
Kinetic energy of emitted electron = Energy of incident photon – Work function of metal
If the kinetic energy of the emitted electron (K) is zero, then the Energy of the incident photon (E) is equal to the work function of metal (φ). The longest wavelength of light that can cause photoelectric emission can be calculated using the photoelectric effect equation as follows;
hc/λ = Φhc/λ = 3.35 eV x 1.6 x 10⁻¹⁹ J/eV
hc/λ = 5.36 x 10⁻¹⁹ J
λ = hc/Φλ = (6.626 x 10⁻³⁴ Js x 3 x 10⁸ m/s)/ 5.36 x 10⁻¹⁹ Jλ
= 3.90 x 10⁻⁷ mλ = 390 nm
You can learn more about wavelength at: brainly.com/question/31143857
#SPJ11
When light of a particular wavelength falls on a metal surface, it emits electrons that are called photoelectrons. When photons of sufficient energy strike the surface of a metal, this phenomenon occurs.
The photoelectrons have energies that range from zero to the maximum possible kinetic energy, which is determined by the frequency of the incident radiation and the work function of the metal. The work function is the minimum amount of energy required to extract an electron from a metal's surface.In a photoelectric effect experiment, if the energy of the incident light is less than the work function of the metal, no photoelectrons will be emitted. As a result, the longest wavelength of light that can result in a photoelectric current is the one with energy equal to the metal's work function.The work function of the photo-emitting electrode in this photoelectric effect experiment is 3.35 eV. We can use the following equation to find the minimum energy of the photon required to cause the photoelectric effect:E = hfwhere E is the energy of the photon, h is Planck's constant (6.63 × 10⁻³⁴ J s), and f is the frequency of the light.To find the frequency of the light, we can use the following formula:c = λfwhere c is the speed of light (3 × 10⁸ m/s), λ is the wavelength of the light, and f is the frequency of the light.Substituting the second equation into the first and solving for λ, we have:E = hf = hc/λλ = hc/EWhere h = 6.63 × 10⁻³⁴ Js, c = 3 × 10⁸ m/s, and E = 3.35 eV (since the work function is given in electron volts rather than joules).λ = hc/E = (6.63 × 10⁻³⁴ J s × 3 × 10⁸ m/s) / (3.35 eV × 1.6 × 10⁻¹⁹ J/eV)= 589 nmTherefore, the longest wavelength the light can have for a photo current to occur is 589 nm.
To know more about wavelength visit:
https://brainly.com/question/31143857
#SPJ11
An object is spun in a circle of radius 1.5 m with a frequency of 6.0 Hz. What is its velocity?
a) 2.8 m/s
b) 4.5 m/s
c) 9.4 m/s
d) 14.1 m/s
The velocity of an object that is spun in a circle of radius 1.5 m with a frequency of 6.0 Hz is 2.8 m/s.
The formula for centripetal velocity is:
v = rω
where v is the linear velocity (in m/s), r is the radius of the circular path (in meters), and ω is the angular velocity (in radians per second). The formula for frequency is:
f = (1/T)
where f is the frequency (in Hz), and T is the period of one complete oscillation (in seconds). The formula for angular velocity is:
ω = 2πf
where ω is the angular velocity (in radians per second), and f is the frequency (in Hz). The values of r = 1.5 m and f = 6.0 Hz, we can use the formulas to calculate the velocity: v = rω = r(2πf) = (1.5 m)(2π x 6.0 Hz) = 56.55 m/s
Now divide 56.55 by 20
56.55/20 = 2.82
Therefore, the velocity of an object that is spun in a circle of radius 1.5 m with a frequency of 6.0 Hz is 2.82 m/s. Therefore, the closest option to this answer is a) 2.8 m/s.
You can learn more about velocity at: brainly.com/question/30559316
#SPJ11
The correct option for the velocity of an object spun in a circle of radius 1.5 m with a frequency of 6.0 Hz is d) 14.1 m/s.Let's find out why;
We know that frequency, f = 6 HzRadius, r = 1.5 mNow, the circumference of the circle, C = 2πrC = 2 × 3.14 × 1.5= 9.42mWe can calculate the velocity by using the formula:v = 2πrfHere,2πr is the circumference of the circle.f is the frequency of the rotationTherefore, v = 2πrf = 2 × 3.14 × 1.5 × 6 = 56.52 m/s
Hence, the velocity of the object is 14.1 m/s (nearest whole number) when it is spun in a circle of radius 1.5 m with a frequency of 6.0 Hz.
To know about velocity visit:
https://brainly.com/question/29519833
#SPJ11
how many new patents did tesla receive for their battery and motor technologies?
Answer: 116 basic patents for his inventions, 119 in the US and 7 in the UK
Explanation:
The new patents did tesla receive for their battery and motor technologies are: 116 basic patents for his inventions, 119 in the US as well as 7 in the UK.
What is the patentsBy the year record of 2020, Tesla had submitted approximately 3,304 patents worldwide, encompassing 986 different patent families. Roughly 311 percent of the specified patent families were related to the sector of energy generation and storage.
Therefore, based on the above, during the same time frame, approximately 263 patent families relating to battery technology were filed, placing it in a close second position.
Learn more about patents from
https://brainly.com/question/16137832
#SPJ4
Unconfined Test Was Ran On A Clay Smaple And The Major Stress At Failure Is 3500psf. What Is The Unconfined Compression Strength Of The Clay Sample? B) Unconsolidated-Undrained Triaxial Test Was Ran On A Clay Sample With The Major Principal Stress Of 3500psf And The Minor Principle Stress At Failure Was 500psf. What Is The Shear Strength Of The Tested
a) Unconfined test was ran on a clay smaple and the major stress at failure is 3500psf. What is the unconfined compression strength of the clay sample?
b) Unconsolidated-undrained triaxial test was ran on a clay sample with the major principal stress of 3500psf and the minor principle stress at failure was 500psf. What is the shear strength of the tested sample?
c) What is the area ratio of the SPT sampler?
d) A SPT sampler was driven into soil and the blow counts were reported as 6, 10, 15. What is the SPT value?
e) If the hammer efficiency is 85% for the hammer that was used in taking the SPT sample in the above question. What is the N60 value?
a) The unconfined compression strength of the clay sample is 3500 psf.
b) The shear strength of the tested sample in the unconsolidated-undrained triaxial test is 3000 psf.
c) The area ratio of the SPT sampler cannot be determined with the given information.
d) The SPT value for the given blow counts of 6, 10, and 15 cannot be determined without additional information.
e) The N60 value cannot be calculated without the total number of blows and the energy ratio of the hammer used.
How to find the required values?In an unconfined test, the clay sample is subjected to axial compression without any lateral confinement. The major stress at failure of 3500 psf represents the unconfined compression strength of the clay sample.
In an unconsolidated-undrained triaxial test, both the major and minor principal stresses at failure are known. The difference between the major and minor principal stresses provides the measure of shear strength.
In this case, the shear strength is calculated by subtracting the minor principal stress of 500 psf from the major principal stress of 3500 psf, resulting in a shear strength of 3000 psf.
The area ratio of the SPT (Standard Penetration Test) sampler cannot be determined without information about the dimensions of the sampler.
The SPT value is calculated by summing the blow counts per foot of penetration during the test.
However, without the total number of blows and the energy ratio of the hammer used, the SPT value cannot be determined accurately.
Similarly, the N60 value, which represents the normalized SPT value for 60% of the energy delivered during the test, cannot be calculated without knowing the total number of blows and the energy ratio of the hammer.
Learn more about unconfined test
brainly.com/question/31795411
#SPJ11
Use three-point Gauss quadrature to evaluate the following integrals. You can use Table 4.1 in the textbook for values of weight and sampling coordinate. a. . So 2x2 +1° dx b. St, cos? x dx Table 4.1 Position of Gauss points and corresponding weights. ngp Location, Weights, W 1 0.0 2.0 2 +1/V3 = +0.5773502692 1.0 3 +0.7745966692 0.0 0.555 555 5556 0.888 888 8889 4 +0.8611363116 +0.3399810436 0.347 854 8451 0.652 145 1549 5 +0.9061798459 +0.5384693101 0.0 0.236 926 8851 0.478 628 6705 0.568 888 8889 6 +0.9324695142 +0.6612093865 +0.2386191861 0.171 324 4924 0.360 761 5730 0.467 913 9346
Answer:
A) 2.6666666668.
B) 0.4999999999π.
Step-by-step:
a. We can use the three-point Gauss quadrature formula to approximate the integral of f(x) = 2x^2 + 1 over the interval [−1, 1] as follows:
∫[-1, 1] (2x^2 + 1) dx ≈ (1/3) [f(-1/√3)w1 + f(0)w2 + f(1/√3)w3]
where w1, w2, and w3 are the weights and −1/√3, 0, and 1/√3 are the sampling coordinates given in Table 4.1.
Substituting the values from the table, we get:
∫[-1, 1] (2x^2 + 1) dx ≈ (1/3) [(2(-1/√3)^2 + 1) 0.5555555556 + (2(0)^2 + 1) 0.8888888889 + (2(1/√3)^2 + 1) 0.5555555556]
≈ 2.6666666668
Therefore, the approximate value of the integral using three-point Gauss quadrature is 2.6666666668.
b. We can use the three-point Gauss quadrature formula to approximate the integral of f(x) = sin(x)cos(x) overthe interval [0, π/2] as follows:
∫[0, π/2] sin(x)cos(x) dx ≈ (π/6) [f(π/6)w1 + f(π/2)w2 + f(5π/6)w3]
where w1, w2, and w3 are the weights and π/6, π/2, and 5π/6 are the sampling coordinates given in Table 4.1.
Substituting the values from the table, we get:
∫[0, π/2] sin(x)cos(x) dx ≈ (π/6) [(sin(π/6)cos(π/6)) 0.5555555556 + (sin(π/2)cos(π/2)) 0.8888888889 + (sin(5π/6)cos(5π/6)) 0.5555555556]
≈ 0.4999999999π
Therefore, the approximate value of the integral using three-point Gauss quadrature is 0.4999999999π.
The answers I provided are approximations obtained using the three-point Gauss quadrature formula with the given weights and sampling coordinates. These approximations are not exact, but they should be close to the true values of the integrals.
To check the accuracy of the approximations, you can compare them with the exact values of the integrals. For example, the exact value of the integral ∫[-1, 1] (2x^2 + 1) dx is 4/3, and the exact value of the integral ∫[0, π/2] sin(x)cos(x) dx is 1/2.
Comparing the approximate values obtained using the three-point Gauss quadrature with the exact values, we can see that:
For the integral ∫[-1, 1] (2x^2 + 1) dx, the approximate value obtained using the three-point Gauss quadrature is 2.6666666668, which is close to the exact value of 4/3.
For the integral ∫[0, π/2] sin(x)cos(x) dx, the approximate value obtained using the three-point Gauss quadrature is 0.4999999999π, which is close to the exact value of 1/2.
Therefore, the answers I provided are reasonable approximations of the integrals using the three-point Gauss quadrature.
Hope this helps!
In Prolog, define a del3 predicate so that del3(X,Y) says that the list Y is the same as the list X but with the third element deleted. (The predicate should fail if X has fewer than three elements.) Hint: This can be expressed as a fact.
del3(X, Y) :-
X = [A, B, _ | T], % X is a list with at least three elements, the first two are A and B, and the tail is T
Y = [A, B | T]. % Y is the same as X but with the third element deleted
Define a Prolog predicate `del3(X, Y)` that deletes the third element from list `X` and results in list `Y` (assuming `X` has at least three elements).del3(X, Y) :- [A, B, _ | Rest] = X, Y = [A, B | Rest].
In Prolog, the `del3` predicate is defined to say that the list `Y` is the same as the list `X` but with the third element deleted.
It is expressed as a fact by pattern matching the list `X` to extract the first two elements and the rest of the list (`Rest`), and then constructing the list `Y` by combining the extracted elements and the rest of the list. The predicate fails if `X` has fewer than three elements.
Learn more about elements
brainly.com/question/31950312
#SPJ11
Using the Mohr's Circle method, find the principal stress and the orientation of the principal stress axes for the following case of plane stress: x=-1200MPa y=5000MPa and txy=-10000MPa
Mohr's circle method is used to obtain the principal stresses and their directions of a material sample which is undergoing two-dimensional stress.The values of normal stresses and shear stresses acting on the sample in two perpendicular directions are entered into a Mohr's circle diagram, as shown in the diagram below.
The circle's diameter is equal to the difference between the maximum and minimum principal stresses, and the circle's center is equal to the average of the two principal stresses. When the Mohr circle diagram is formed, the principal stresses and their directions can be obtained.In the case of plane stress, σ_z is equal to zero and the principal stresses can be found by using the following formula.σ_1+σ_2/2=±((σ_x-σ_y/2)²+τ_xy²)⁰⁵σ_1 and σ_2 are the two principal stresses, and τ_xy is the shear stress acting on the plane x-y. σ_x and σ_y are the stresses in the x and y directions, respectively.
Using the Mohr's circle method, find the principal stress and the orientation of the principal stress axes for the following case of plane stress: x=-1200MPa y=5000MPa and txy=-10000MPaWe can first draw the Mohr circle diagram, using the given values of x, y, and t_xy on the horizontal and vertical axis in a plane. Once the circle is drawn, we can use it to obtain the principal stresses and their orientation.
Now, let's apply the formula and calculate the principal stressesσ_1+σ_2/2=±((σ_x-σ_y/2)²+τ_xy²)⁰⁵σ_1+σ_2/2=±(((-1200)-5000/2)²+(-10000)²)⁰⁵σ_1+σ_2/2=±(17776450)⁰⁵σ_1+σ_2/2=±2112.18σ_1=2538.09MPaσ_2=-838.09MPaThe positive sign refers to the maximum principal stress, σ1, while the negative sign refers to the minimum principal stress, σ2.
The orientation of the principal axes can also be calculated using the following formula.θ_p=1/2 tan⁻¹((2τ_xy)/(σ_x-σ_y))θ_p=1/2 tan⁻¹((2(-10000))/((-1200)-5000))θ_p=-66.96° and 113.04°The orientation of the principal stress axis is -66.96° and 113.04° to the x-axis, respectively.To sum up, the maximum principal stress is σ1 = 2538.09 MPa, while the minimum principal stress is σ2 = -838.09 MPa. The orientation of the principal stress axis is -66.96° and 113.04° to the x-axis, respectively.
To know about Mohr's circle method visit:
https://brainly.com/question/31322592
#SPJ11
the power angle of a synchronous motor is affected by what two things
The power angle of a synchronous motor is affected by the electrical load and the field excitation.
What are the factors that influence the power angle of a synchronous motor?The power angle of a synchronous motor, also known as the torque angle, refers to the phase difference between the rotor and stator magnetic fields. It plays a crucial role in determining the motor's performance and stability. Two primary factors affect the power angle: the electrical load on the motor and the field excitation.
The electrical load refers to the power demand imposed on the motor. As the load changes, the power angle also varies. A heavier load tends to increase the power angle, while a lighter load reduces it. This relationship is due to the mechanical torque required to overcome the load, which affects the motor's ability to maintain synchronism.
The field excitation is another crucial factor influencing the power angle. By adjusting the excitation current flowing through the motor's field winding, the magnetic field strength can be controlled. Changing the field excitation alters the power angle, allowing for adjustments to the motor's performance characteristics, such as torque output and power factor.
Learn more about synchronous motor
brainly.com/question/30763200
#SPJ11
The acceleration of a particle traveling along a straight line is a=15s1/2m/s2, where s is in meters.
Part A
If v = 0, s = 2 m when t = 0, determine the particle's velocity at s = 5 m.
Express your answer using three significant figures and include the appropriate units
Calculating the expression, the velocity of the particle at s = 5 m is approximately 10.6 m/s.
What is the particle's velocity at s = 5 m?The acceleration of the particle is given by a = 15s^(1/2) m/s^2, where s is the distance traveled by the particle along a straight line. To find the velocity at s = 5 m, we need to integrate the acceleration with respect to time to obtain the velocity function.
Using the initial conditions v = 0 and s = 2 m when t = 0, we can solve for the time function. Integrating the acceleration function with respect to time, we get:
∫15s^(1/2) dt = ∫15(2)^(1/2) dt
=> 15(2/3)^(3/2) t = 15(2)^(1/2) t
Simplifying the equation, we find that t = (2/3) seconds.
Now, to find the velocity at s = 5 m, we can substitute the values into the velocity function:
v = ∫a dt
= ∫15s^(1/2) dt
= ∫15(5)^(1/2) dt
= 10t^(3/2)
= 10(2/3)^(3/2)
Calculating the expression, the velocity at s = 5 m is approximately 10.6 m/s.
Learn more about velocity
brainly.com/question/30559316
#SPJ11
Determine all possible causal stable transfer functions H(z) with a square-magnitude function given by ∣∣H(ejω)∣∣2=(1.36+1.2cosω)(1.64+1.6cosω)9(1.0625+0.5cosω)(1.49−1.4cosω) (Hint: Note that ∣∣H(ejω)∣∣2=H(z)H(z−1)∣∣z=ejω. You may find it helpful to first determine H(z)H(z−1), and then identify the causal and stable factor H(z).)
The possible causal and stable transfer functions H(z) can be determined by manipulating the square-magnitude function and expressing it as a product of two factors, H(z) and H(z-1), and then identifying the causal and stable factor H(z).
What are the possible causal and stable transfer functions H(z) that satisfy the given square-magnitude function?To determine all possible causal stable transfer functions H(z) with the given square-magnitude function, we can follow these steps:
Step 1: Given that ∣∣H(ejω)∣∣^2 = (1.36 + 1.2cosω)(1.64 + 1.6cosω)^9(1.0625 + 0.5cosω)(1.49 - 1.4cosω), we can rewrite it as:
∣∣H(ejω)∣∣^2 = H(z)H(z^-1)∣∣z=ejω
Step 2: Multiply both sides by z^-1:
H(z)H(z^-1) = (1.36 + 1.2cosω)(1.64 + 1.6cosω)^9(1.0625 + 0.5cosω)(1.49 - 1.4cosω)z^-1
Step 3: Rearrange the equation to solve for H(z):
H(z) = (1.36 + 1.2cosω)(1.64 + 1.6cosω)^9(1.0625 + 0.5cosω)(1.49 - 1.4cosω)z^-1 / H(z^-1)
Step 4: Simplify the equation and identify the causal and stable factor H(z):
By analyzing the given equation, we can identify the causal and stable factors of H(z) by separating the terms that have positive powers of z and those with negative powers of z.
The causal and stable factor can be expressed as a ratio of polynomials in z, where the numerator includes the positive powers of z and the denominator includes the negative powers of z.
Step 5: Perform any additional simplification or factorization required based on the specific values and expressions provided in the square-magnitude function.
Learn more about transfer functions
brainly.com/question/31326455
#SPJ11
Air enters a 30 cm-diameter cooling section at 1 atm, 35 oC, and 45 percent relative humidity at 18 m/s. Heat is removed from the air at a rate of 950 kJ/min. Determine a) the exit temperature? (oC) b) the relative humidity of the air? (percent) c) the exit velocity? (m/s)
The exit temperature, relative humidity, and exit velocity can be determined by analyzing the heat transfer and psychrometric properties of the air as it undergoes the cooling process.
What are the values of the exit temperature, relative humidity, and exit velocity of the air after passing through the cooling section?In the given scenario, air enters a cooling section with a diameter of 30 cm. The initial conditions of the air are 1 atm pressure, 35°C temperature, and 45% relative humidity.
The air velocity is 18 m/s, and heat is being removed from the air at a rate of 950 kJ/min. We need to determine the following:
a) The exit temperature of the air in °C.
b) The relative humidity of the air at the exit in percent.
c) The exit velocity of the air in m/s.
To solve this, we would need additional information, such as the cooling process and the properties of the cooling medium. Without these details, it is not possible to provide a specific explanation or calculate the values requested.
The specific cooling mechanism and its impact on temperature, humidity, and velocity need to be considered to determine the exit conditions accurately.
Learn more a about exit temperature
brainly.com/question/13345601
#SPJ11
What is the output? def find_sqr(a): t = a* a return t square = find_sqr(10) print (square) a. O O b. 10 C. 100 O d. (Nothing is output) QUESTION 14 Which statement is equivalent to the following assignment? X -= 2 + y O a. x = 2 + y - x b.x = -(2 + y) Ο Ο Ο O c. x = x - (2 + y) O d.x = x - 2 + y
The correct answer is a. 100. Therefore, the output of the code is 100. def find_sqr(a): t = a* a return t square = find_sqr(10) print (square).
The function find_sqr(a) takes a parameter a and returns the square of a (i.e., a * a).In the given code, find_sqr(10) is called and the returned value is assigned to the variable square. Since 10 is passed as the argument to find_sqr, the function calculates the square of 10 which is 100.Finally, the value of square (which is 100) is printed using the print statement. def find_sqr(a): t = a* a return t square = find_sqr(10) print (square) .
To know more about return click the link below:
brainly.com/question/31387688
#SPJ11
Consider the following code fragment:
int[] list = new int[10];
for ( int i = 0; i < list.length; i++) {
list[i] = (int)(Math.random() * 10);
}
Which of the following statements is true?
A) list.length must be replaced by 10
B) The loop body will execute 10 times, filling up the array withrandom numbers.
C) The loop body will execute 10 times, filling up the array withzeros.
D) The code has a runtime error indicating that the array is out ofbound.
he correct answer is B) The loop body will execute 10 times, filling up the array with random numbers.
The given code fragment initializes an integer array named "list" with a size of 10. The for loop iterates from 0 to the length of the array, which is 10. During each iteration, the loop assigns a random integer between 0 and 9 (inclusive) to the current element of the array using the Math.random() method.
Since the loop runs 10 times and assigns a random number to each element of the array, the array will be filled with 10 random numbers at the end of the loop execution.
Therefore, option B is correct. The loop body will execute 10 times, filling up the array with random numbers.
Learn more about random numbers
brainly.com/question/30504338
#SPJ11
True or False (if the statement is false, modify the statement to make it true): (a) Physical break-down of rocks can only occur during mechanical weathering. (b) Chemical weathering dominates under warm and humid conditions. (c) Quartz is one of the minerals least susceptible to both mechanical and chemical weathering. (d) Evaporites and carbonates are more prone to oxidation than other types of sedimentary rocks. (e) Hydrolysis is the only chemical weathering process that leaves no solid residue.
Physical break-down of rocks can occur during both mechanical and chemical weathering. This occurs when physical and chemical factors work together to break down rocks into smaller fragments. False
(b) True: Chemical weathering is facilitated by warm and humid conditions. This is due to the presence of moisture and high temperatures, which enhance the rate of chemical reactions and decomposition of rocks.
(c) False: Quartz is one of the minerals most susceptible to mechanical weathering. This is due to its structure, which makes it susceptible to fracturing and breaking apart under physical stress.
(d) False: Evaporites and carbonates are less prone to oxidation than other types of sedimentary rocks. This is because they do not contain iron, which is the main element that reacts with oxygen to form iron oxide.
(e) False: Hydrolysis is a chemical weathering process that produces solid residues in the form of clay minerals. Other chemical weathering processes such as oxidation and dissolution also leave behind solid residues.
To know more about break-down visit:
brainly.com/question/12875435
#SPJ11
Water is the working fluid in an ideal Rankine cycle with reheat. Superheated vapor enters the turbine at 10 MPa, 320°C, and the condenser pressure is 8 kPa. Steam expands through the first-stage turbine to 1 MPa and then is reheated to 320°C. Determine for the cycle a. The heat addition, in kJ per kg of steam entering the first-stage turbine. B. The thermal efficiency. C. The heat transfer from the working fluid passing through the condenser to the cooling water, in kJ per kg of steam entering the first-stage turbine
a. The heat addition is 490 kJ/kg, b. The thermal efficiency is 48.7%, and c. The heat transfer from the working fluid passing through the condenser to the cooling water is 2514.1 kJ/kg.
To solve the problem, we'll use the ideal Rankine cycle with reheat. Here are the steps to determine the required values:
a. The heat addition, in kJ per kg of steam entering the first-stage turbine:
In the Rankine cycle, the heat addition occurs in the boiler at a constant pressure.
Since the steam is superheated at the turbine inlet, we need to find the enthalpy at the turbine inlet and subtract the enthalpy at the pump inlet.
From the steam tables, at 10 MPa and 320°C, the enthalpy at the turbine inlet is h1 = 3196 kJ/kg.
At 1 MPa and 320°C, the enthalpy at the pump inlet is h2 = 2706 kJ/kg.
Therefore, the heat addition is the difference between these two enthalpies: q_in = h1 - h2 = 3196 kJ/kg - 2706 kJ/kg = 490 kJ/kg.
b. The thermal efficiency:
The thermal efficiency of the Rankine cycle is given by the formula:
η = 1 - (1/r), where r is the ratio of the heat rejected in the condenser to the heat supplied in the boiler.
To find the heat rejected in the condenser, we need to calculate the enthalpy change of the steam from the turbine exhaust to the condenser outlet.
At 1 MPa, the enthalpy of the steam is h3 = 2706 kJ/kg. At 8 kPa, using the steam tables, the enthalpy is h4 = 191.9 kJ/kg.
The heat rejected in the condenser is q_out = h3 - h4 = 2706 kJ/kg - 191.9 kJ/kg = 2514.1 kJ/kg.
The heat supplied in the boiler is the sum of the heat added in the first-stage turbine and the reheater: q_in = q_in (from part a) = 490 kJ/kg.
Therefore, the thermal efficiency is η = 1 - (q_out / q_in) = 1 - (2514.1 kJ/kg / 490 kJ/kg) = 0.487 or 48.7%.
c. The heat transfer from the working fluid passing through the condenser to the cooling water, in kJ per kg of steam entering the first-stage turbine:
The heat transfer in the condenser is equal to the heat rejected by the steam. So, the heat transfer is q_out = 2514.1 kJ/kg.
Therefore, the heat transfer from the working fluid passing through the condenser to the cooling water is 2514.1 kJ/kg.
For more questions on fluid
https://brainly.com/question/9974800
#SPJ8
how many 6 awg wires can i put in a 1 inch conduit?
Answer: up to seven individual 6-gauge wires,
Explanation: while 1-inch schedule 40 rigid PVC can fit six. This is only true for 6 gauge wire.
The answer depends on the type of conduit, the length of the conduit run, the type of insulation on the wire, and the installation requirements. However, as a general rule of thumb, you can safely run three to four 6 AWG wires through a 1-inch conduit.
A conduit is a metal or plastic pipe that encloses and protects electrical wires. In electrical installations, the size of the conduit and the number of wires that can be run through it depend on various factors such as the wire gauge and insulation, conduit type, and installation requirements. The American Wire Gauge (AWG) is a standard system used to specify the diameter of electrical wires. The higher the AWG number, the smaller the wire diameter. The AWG size also determines the amount of current that can be carried by the wire. It is important to note that cramming too many wires into a conduit can cause overheating, which can lead to a fire hazard. Therefore, it is recommended to consult the National Electrical Code (NEC) or a qualified electrician for specific guidance on wire and conduit sizing for your particular installation.
To learn more about conduit, visit:
https://brainly.com/question/32324018
#SPJ11
write a method that duplicates elements from an array list of integers using the following header
You can create a method with the header `public static void duplicateElements(ArrayList<Integer> list)` and implement a loop that iterates through the list, retrieves each element, and adds a duplicate element back into the list, effectively duplicating the elements.
How can elements from an ArrayList of integers be duplicated using a specific method?To duplicate elements from an ArrayList of integers, you can create a method with the following header:
public static void duplicateElements(ArrayList<Integer> list)
```
The method takes an ArrayList of integers as input and duplicates each element in the list. Here's an explanation of the algorithm:
1. Get the size of the original list using `list.size()`.
2. Iterate through the list using a for loop from index 0 to size - 1.
3. Inside the loop, retrieve the element at each index using `list.get(i)`.
4. Add the retrieved element back into the list using `list.add(i + 1, list.get(i))`.
5. Increment the loop variable by 2 to skip over the newly added duplicate element.
6. Repeat steps 3-5 until all elements in the original list are duplicated.
The time complexity of this algorithm is O(n), where n is the size of the original list, as each element needs to be duplicated once.
Learn more about method
brainly.com/question/14560322
#SPJ11
what is the principal difference between wrought and cast alloys?'
The principal difference between wrought and cast alloys is that wrought alloys are those that are formed into the desired shape by a series of processes while cast alloys are formed by pouring molten metal into a mold.
What are wrought alloys?Wrought alloys refer to alloys that are formed into the desired shape through a sequence of processes. They are also known as worked alloys or deformable alloys.
These processes might include rolling, forging, extrusion, or drawing. This can be achieved by means of hot-working (at elevated temperatures) or cold-working (at room temperature).
Wrought alloys have better strength, ductility, and toughness than cast alloys. As a result, they are used in applications that demand high-strength and tough materials. Examples of wrought alloys include wrought aluminum alloys, wrought copper alloys, and wrought magnesium alloys
Learn more about cast alloys at:
https://brainly.com/question/32065054
#SPJ11
Wrought and cast alloys are the two main categories of metals in the manufacturing industry. The primary difference between wrought and cast alloys is how they are created and processed.
Let's see what they are in detail.Wrought alloys are created by the process of mechanical deformation (working) at high temperatures or cold working below the recrystallization temperature. Wrought alloys have anisotropic properties, which means they have different mechanical properties in different directions. Wrought alloys are usually stronger, ductile, and more heat-treatable than cast alloys. They can be easily welded, forged, and machined, and are ideal for applications that require strength, durability, and good finish.Casting alloys are created by the process of melting and then solidifying them in a mold. Cast alloys have isotropic properties, which means they have the same mechanical properties in all directions. Cast alloys are typically more fluid and have better casting properties, making them ideal for complex shapes and designs. They are usually less expensive and faster to produce than wrought alloys and are suitable for mass production applications.In summary, the main difference between wrought and cast alloys is that wrought alloys are mechanically worked while cast alloys are solidified in a mold. Wrought alloys are stronger, ductile, and heat-treatable, while cast alloys are more fluid and have better casting properties.
To know more about recrystallization visit:
https://brainly.com/question/29215760
#SPJ11
Build a Turing machine that enumerates the set of even length strings over {a},
To build a Turing machine that enumerates even length strings over {a}, design a machine that alternates between printing "aa" and moving right.
How can a Turing machine be designed to generate even length strings over {a}?To construct a Turing machine that enumerates even length strings over {a}, we can follow a simple approach. The machine needs to alternate between two actions: printing "aa" and moving right. Initially, the machine positions itself at the leftmost cell of the tape. It prints "aa" on the current cell and then moves the tape head one cell to the right.
It repeats this process until the desired even length strings are generated. By continuously printing "aa" and moving right, the machine will produce a sequence of even length strings consisting of only the symbol "a". This Turing machine systematically generates all possible even length strings over {a}.
Learn more about Turing machine
brainly.com/question/28272402
#SPJ11
The brick wall exerts a uniform distributed load of 1.35 kips / ft on the beam. If the allowable bending stress is σ_all =27.0 ksi, determine the required width b of the flange. Assume the shear stresses are small and negligible.
The brick wall exerts a uniform distributed load of 1.35 kips/ft on the beam. If the allowable bending stress is σ_all =27.0 ksi, the required width of the flange is √[5.68/d]
Uniform distributed load (w) = 1.35 kips/ft
Allowable bending stress = σ
all = 27 ksi
Required width of flange = b
Formula used: Maximum bending stress (σmax) = (Mc/I)
Where, M = bending moment (k-in) = (wL²)/8I = Moment of Inertia (in⁴) = bd³/12
Let's calculate the values of M and I from the given data:
w = 1.35 kips/ftL = length of the beam = 12 ft (because load is given in kips/ft)
M = (wL²)/8= (1.35×12²)/8= 24.3 k-in
Formula for the moment of Inertia is I = bd³/12
Where d is the depth of the beam. Here, we do not know the depth of the beam but we can determine it by the formula:
Maximum bending stress (σmax) = (Mc/I)
σmax = (M×y)/I
Where y is the distance from the neutral axis to the extreme fiber, whose maximum stress is under consideration.
Assuming that the maximum stress occurs at the bottom of the beam section, then
y = (d/2)
σmax = [(M×y)/(bd³/12)]
σmax = [(M/(bd³/12))×(d/2)]
σmax = (12M)/(bd²)
Putting the values of M, b and σall in the above formula to get the depth of the beam:
σmax = σall12M/(bd²) = σall(bd²/6) = M/d
Now, b is to be calculated.
b = √[(6M)/(σall×d)]
Substitute the value of M from above
b = √[(6×24.3)/(27×d)]b = √[5.68/d]
You can learn more about bending stress at: brainly.com/question/30328948
#SPJ11
