a) Jimmy’s utilization is given by the formula- Utilization = λ/μ where λ is the arrival rate and μ is the service rate. Here, service time distribution is given as exponential.
Hence, the service rate μ = 1/β = 1/6000 = 0.000167 per second. Since there is only one service station, the arrival rate of machines is equal to the departure rate which is also λ = 0.4 per second.
Therefore, Jimmy’s utilization is-Utilization = λ/μ = 0.4/0.000167 ≈ 2398.8 (rounded to three decimal places).
b) Here, we have to find the average number of machines out of service which is equivalent to the average number of customers in the queue. For this, we need to use the formula- Lq = ρ²/(1-ρ) where Lq is the average number of customers waiting in the queue and ρ is the traffic intensity factor. Traffic intensity factor is given by the formula-ρ = λ/μρ = 0.4/0.000167 ≈ 2398.8 (rounded to three decimal places).
Hence, the average number of machines out of service is-Lq = ρ²/(1-ρ) = (2398.8)²/(1-2398.8) ≈ 5751550.72 (rounded to two decimal places).
Therefore, the average number of machines out of service, that is, waiting to be repaired or being repaired is 5751550.72 machines (rounded to two decimal places).
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US income tax code defines as "the recovery of certain capital expenditures that are not ordinarily deductible, in a manner that is similar to straight-line depreciation". a. Amortization. b. Book value. c. Cost basis. d. Depreciation allowances.
The recovery of certain capital expenditures that are not ordinarily deductible, in a manner that is similar to straight-line depreciation is defined in the US income tax code as amortization. Amortization refers to the practice of spreading an intangible asset's cost over the course of its useful life, much like depreciation and depletion.
This amortization process is used to reduce the asset's value in the balance sheet over time. Because it isn't considered a tangible asset, it cannot be depreciated.The IRS (Internal Revenue Service) allows a company to amortize or gradually depreciate intangible assets over their useful life. The amortization period can range from several years to several decades, depending on the asset's type and life span.
The cost basis is used in accounting and taxation to determine the starting point for determining gains and losses on investments and property sales. It is the total expense paid to acquire a specific asset, including any additional costs incurred in the acquisition, such as taxes, shipping, and installation expenses.
Depreciation allowances are deductions that businesses may claim for the loss of an asset's value over time. As a result, depreciation allowances are tax benefits that provide a reduction in taxable income, resulting in lower taxes.
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How does the compressive strength, impact resistance and plastic shrinkage resistance of concretes are effected by increased volüme % of fibers?
What advantages can we have from macro-polymer fibers in terms of earthquake resistant structures?
Compressive strength, impact resistance, and plastic shrinkage resistance are the most important properties of concrete. These properties are important for the durability of concrete structures. The properties of concrete can be improved by adding fibers to the mix.
Increasing the volume % of fibers can significantly improve the compressive strength, impact resistance, and plastic shrinkage resistance of concretes. The increase in volume % of fibers can result in an increase in the compressive strength of up to 30%. The impact resistance of concrete can also be improved by increasing the volume % of fibers.
The addition of fibers can increase the energy absorption of concrete and reduce the severity of impact loads. Moreover, the plastic shrinkage resistance of concrete can also be improved by increasing the volume % of fibers. This can prevent the formation of cracks due to plastic shrinkage and reduce the risk of early age cracking.
Macro-polymer fibers are useful for earthquake-resistant structures. They can help reduce the damage caused by earthquakes. The addition of macro-polymer fibers can increase the ductility of concrete, which allows the structure to deform without collapsing during an earthquake.
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Question 5
Find the present value of a deferred annuity of P8599 every six months for 4 years that is deferred for 3 years, if money is worth 59% compounded semi-annually.
Round your answer to 2 decimal places.
Question 6
Don Solomon wants to set up a scholarship program with his alma mater. If P778111 is needed per year for the scholars, how much
must he invest today at 2.4% compounded annually to fund the scholarship program in perpetuity?
Round your answer to 2 decimal places.
Question 5Present value of deferred annuity with formula:$$PV=\frac{P\left[1-\frac{1}{(1+i)^n}\right]}{i}$$Where P is the regular payment, i is the interest rate per period, and n is the total number of periods.
Let P be P8599, i be 59% compounded semi-annually and n be 8.Total number of periods = 8= 4 × 2, since payment is every six months and we are given it is deferred for 3 years before it starts Therefore n − t = 8 − 6 = 2Substituting these values into the present value formula above, we get:
Let P be P778111, and i be 2.4% compounded annually. Substituting these values into the present value formula above, we get:$$PV=\frac{778111}{0.024}$$$$PV=32,421,291.67$$Therefore, PV = P32,421,291.67 (to the nearest cent).Thus, the required answer for Question 5 is P11,789.88 and for Question 6 it is P32,421,291.67.
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A confined aquifer is 8 ft. thick. The potentiometric surface drops 1.33 ft between wells that are 685 ft apart. The hydraulic conductivity is 241 ft/day and the effective porosity is 27%.
a) How many cubic feet per day move through a strip of aquifer that is 10 ft wide?
b) What is the specific discharge?
c) What is the average linear velocity?
d) How long will it take the water to travel between the two wells?
a) Calculation of cubic feet per day moved through a strip of aquifer that is 10 feet wide is as follows;Calculating the Darcy's velocity formula: V = K * I/nV = Darcy's Velocity, ft/dayK = Hydraulic Conductivity, ft/dayI = Hydraulic Gradientn = Effective Porosity∴ V = (241 * 1.33)/0.27 = 1172.6 ft/day.
Now, we need to calculate the specific discharge. For that, we can use the following formula;Q = V * AWhere,Q = Discharge, cubic ft/dayV = Darcy's Velocity, ft/day A = Cross-sectional area, ft²Cross-sectional area A = 8 ft (thickness) * 10 ft (width) = 80 ft²∴ Q = 1172.6 * 80 = 93808 cubic feet per dayb) The specific discharge is given by the formula;
Q = V * AWhere,Q = Discharge, cubic ft/dayV = Darcy's Velocity, ft/day A = Cross-sectional area, ft²∴ Q = 1172.6 * 80 = 93808 cubic feet per dayc) Calculation of the average linear velocity is as follows; The average linear velocity formula: Vav = Q/n * W.
Where, Vav = Average Linear Velocity, ft/day Q = Discharge, cubic ft/dayn = Porosity W = Aquifer width, ft∴ Vav = 93808/0.27 * 10 = 346600 ft/dayd) Calculation of time taken by water to travel between the two wells is as follows; The distance between the two wells is 685 ft and the average linear velocity is 346600 ft/day.
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Approximate the shape of the deflected curve for the beam using the Rayleigh-Ritz Method. From the approximated deflections determine the shear and moment diagrams
a.) u(x)=-c0 sin (πx/L)
b.) u(x)= c4x4 c3x3+ c2x2+c1x+c0
The Rayleigh-Ritz Method is a powerful tool for calculating the shape of the deflected curve for the beam. This method uses a series of trial functions to approximate the shape of the beam's deflection. Once the shape of the deflected curve has been approximated, the shear and moment diagrams can be determined.
Let's see how the Rayleigh-Ritz Method can be applied to the two functions given in the question. a.) u(x)=-c0 sin (πx/L)We can use the following trial function: u(x) = a0 + a1x + a2x² + a3x³ + a4x⁴Using this trial function, we can find the coefficients a0, a1, a2, a3, and a4 that will approximate the deflection function. The coefficients can be found by minimizing the following energy functional:
E = ∫₀^L [M(x)u'(x)² - V(x)u(x)²] dx where M(x) is the bending moment and V(x) is the shear force. We will assume that M(x) = EIu''(x) and V(x) = -EIu'''(x). The Rayleigh-Ritz Method requires us to choose trial functions that satisfy the boundary conditions. For this problem, we have u(0) = u(L) = 0. Plugging the trial function into the boundary conditions, we get:
a0 = 0 and a0 + a1L + a2L² + a3L³ + a4L⁴ = 0Using these boundary conditions, we can find the coefficients for the trial function. The deflection function can be approximated as follows: u(x) = -c0 [2(1-4/pi²) sin (πx/L) + 2/3 sin (3πx/L) - 4/pi² sin (5πx/L) + ...]Using this approximated deflection, we can calculate the shear and moment diagrams for the beam.
b.) u(x)= c4x4 c3x3+ c2x2+c1x+c0We can use the following trial function: u(x) = a0 + a1x + a2x² + a3x³ + a4x⁴Using this trial function, we can find the coefficients a0, a1, a2, a3, and a4 that will approximate the deflection function. The coefficients can be found by minimizing the energy functional:
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Design a tied column with DL = 500 KN, LL = 650 KN. fc' = 20.7 MPa, fy = 276 MPa. Use pg= 0.03, 25 mm Ø main bars, and 10 mm Ø ties.
Tied columns are used when there is a lack of space, limited headroom, or heavy lateral loads on the structure. They can be designed to withstand any amount of compressive stress, and the ties help keep them from buckling.
Given DL = 500 KN, LL = 650 KN, fc' = 20.7 MPa, fy = 276 MPa, pg = 0.03, 25 mm Ø main bars, and 10 mm Ø ties, here's how to design a tied column:
Step 1: Find out the factored load. The total factored load on the column is calculated as follows: Pu = 1.2DL + 1.5LLPu = 1.2 × 500 + 1.5 × 650Pu = 1460 KN
Step 2: The radius of gyration, r, is determined by: r = (0.5 × diameter)/square root of area We have to take the larger value for L in this case since it is greater than the smaller value. Therefore: Effective length, Le = 3 meters Radius of gyration, r = 7.07 cmK = (3m / 7.07cm)K = 42.43
Step 3: Calculate the effective length. The effective length of a column is found using the following formula :L = (K * r)The effective length is found by substituting the values into the equation: L = 42.43 * 7.07L = 300 cm.
Step 4: Determine the minimum and maximum steel ratios. The minimum steel ratio for a tied column is 0.008. The maximum steel ratio is 0.4.
Step 5: Check for minimum steel percentage. The minimum steel percentage is calculated using the following formula:ρmin = 0.008 * (fc' / fy)ρmin = 0.008 * (20.7 / 276)ρmin = 0.0006The calculated steel percentage of 0.01 is greater than the minimum requirement, thus, it is okay. So the column design is okay.
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(a) Estimate the depth of evaporation (in mm units) that can be expected to occur over a 24-hour period from a location under the following conditions:
Available Energy = 500 W/m²
Bowen Ratio = 0.3
You can assume the latent heat of vaporisation equals 2.5MJ/kg and the density of water equals 1000kg/m³.
E=mm
Estimating the depth of evaporation (in mm units) that can be expected to occur over a 24-hour period from a location under the given conditions as: E=mm Given data: Available Energy = 500 W/m²Bowen Ratio = 0.3Latent heat of vaporisation = 2.5MJ/kg Density of water = 1000kg/m³We can find the net radiation using the formula:
Q* = Q / (1 + β)whereβ = Bowen ratioβ = 0.3Q = Available Energy Q* = net radiation Q* = 500 / (1 + 0.3) = 384.6 W/m²The evaporation can be calculated using the formula: E = Q* / λE = evaporationλ = Latent heat of vaporization= 2.5MJ/kg= 2.5 * 10⁶ J/kgE = Q* / λ= 384.6 / (2.5 * 10⁶)= 0.000154 m/s As we know, Density = Mass / Volume and Mass = Density × Volume.
By putting the value of density of water, we get: Mass of water = 1000 × 0.000154= 0.154 kg/m²We know that,Depth = (Mass of water evaporated)/(density of water)Depth = (0.154)/(1000)= 0.000154 m= 0.154 mm Therefore, the estimated depth of evaporation (in mm units) that can be expected to occur over a 24-hour period from a location under the given conditions is approximately 0.154 mm.
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Between the Standard Form of Building Contract and New Engineering Contract,
(a)Outline the differences in project controls on -
i. Time;
ii. Cost;
iii. Quality; and
iv. Parties' interests.
(b) Discuss the principal differences in approaches on contract control such as substantive and procedural entitlements.
The Standard Form of Building Contract (SBC) and the New Engineering Contract (NEC) are the two most widely used building contracts in the UK.
Time: In the SBC, project controls in terms of time may be tracked using progress reports or programmed, and time is often referred to as the contract period.
Cost: In the SBC, project controls in terms of cost are often administered via periodic payments made to the contractor based on a pre-determined schedule of payments or stage payments.
Quality: In terms of quality, the SBC necessitates compliance with specifications and tolerances specified in the contract, whereas the NEC emphasizes the contractor's obligation to provide work of the requisite standard to accomplish the works' outcomes.
Parties' interests: The SBC's project controls are often weighted in the employer's favor, with little power given to the contractor, while the NEC provides greater flexibility in decision-making and negotiation between the parties.
Substantive Entitlements: These are the rights given to the parties under the contract and will be related to a party's entitlement to payment or the ability to terminate the contract. This is to ensure that both parties receive a fair deal.
Procedural Entitlements: These are procedures that need to be followed in the event of a dispute or disagreement over the contract's substantive terms.
SBC and NEC have their differences in terms of project control, and they are both commonly used building contracts in the UK.
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What is the implied utilization rate for the automated washing machine? Round your answer to the nearest whole number and ignore the percentage sign. For example, if your answer is 0.45 or 45%, fill in 45; if your answer is 0.76 or 76%, fill in 76.
The task is to determine the implied utilization rate for an automated washing machine. The utilization rate is expressed as a whole number without the percentage sign. By calculating the implied utilization rate using the provided data, we can assess the level of utilization for the automated washing machine.
The utilization rate for an automated washing machine can be calculated by dividing the actual usage time by the total available time. The utilization rate represents the percentage of time the machine is being used compared to the total time it is available.
To calculate the utilization rate, we need to know the actual usage time and the total available time. The utilization rate can be expressed as a decimal or a percentage.
Once we have the values, we can divide the actual usage time by the total available time and multiply by 100 to convert it to a percentage. Rounding the answer to the nearest whole number will give us the implied utilization rate as a whole number without the percentage sign.
It's important to note that the utilization rate represents the efficiency of the automated washing machine and indicates how effectively the machine is being utilized. A higher utilization rate indicates better usage of the machine's capacity, while a lower utilization rate suggests that the machine is underutilized and there is potential for increased efficiency.
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Why should a Sanitary Engineer be knowledgeable about construction methods and operations of sanitary engineering systems/facilities? Explain your answer.
A sanitary engineer should be knowledgeable about construction methods and operations of sanitary engineering systems/facilities because sanitation engineering is an interdisciplinary.
Area that combines engineering and scientific principles to design and maintain healthy living environments. Engineers have to design, construct, operate, and maintain various systems that protect public health, including sewage treatment plants, water supply systems, waste management facilities, and stormwater management systems.
A Sanitary Engineer's expertise is critical to ensuring that these systems are designed, constructed, and maintained in a way that minimizes the risk of disease outbreaks and promotes public health. Furthermore, Sanitary engineers are responsible for ensuring that these systems operate efficiently and effectively.
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a) i) Briefly explain what is meant by the terms ‘grain’ and
‘grain structure’ for a metal. (2 marks)
ii) Describe why reducing grain size can increase the strength
of a pure metal. Include an
Reducing the grain size in a metal increases its strength by inhibiting the dislocation of grains and enhancing grain boundary strengthening. This is achieved through a larger surface area and increased number of grain boundaries. Consequently, smaller grain sizes contribute to improved mechanical properties and increased strength in pure metals.
i) What is meant by the terms 'grain' and 'grain structure' for a metal?
Grain: A grain refers to the crystalline lattice that represents the three-dimensional arrangement of atoms in a metal. It is formed when atoms combine and create a distinct crystal structure. The average size of grains is typically a few microns, but it can vary based on the manufacturing process. Metals cooled slowly exhibit well-defined crystal structures, while rapid cooling or cold working produces a finer grain structure.
Grain structure: Grain structure refers to the size, orientation, and arrangement of grains in a metal. The boundaries between grains are called grain boundaries, which play a crucial role in the mechanical properties of the metal. The sizes, shapes, and orientations of grains can significantly impact the metal's properties and performance.
ii) Why does reducing grain size increase the strength of a pure metal?
Reducing the grain size in a metal results in an increased total number of grains. This, in turn, leads to a larger surface area in contact with neighboring grains and an increased presence of defects at the grain boundaries. These defects, known as grain boundary strengthening, enhance the metal's strength by impeding the dislocation of grains when subjected to stress.
The dislocation of grains occurs when atoms slide and slip over one another. Having more grains inhibits these dislocations, thereby increasing the metal's strength and hardness. Consequently, reducing the grain size is effective in enhancing the strength of a pure metal.
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Choose correct answer for the followings: 1- How many types of foundation are there based on depth a. one b. Two d. Four c. Three 2- When two column loads are unequal, which of the possible footing can be provided ? b. Raft footing d. Mat footing a. Strap footing c. Trapezoidal combined footing 3- sample has the natural structure of soil as modified. a jundisturbed b. disturbed c. non-representative d. remoulded 4- Which foundation is used when the wall carries light loads or when the safe bearing pressure is very high? b. Simple strip footing d. Rat footing a. Simple pad footing c. Strap footing 5- A soil sample has inner and outer radii of 25mm and 30 mm, respectively. The area ratio of the sample is ? a. 24% a. Rigidity of the footing c. Condition of soil b. 34% d. 54% c. 44% 6- Disadvantage of seismic exploration is ? a. Lack of unique interpretation c. Both of them 7- The area ratio of sample for soil exploration should not exceed? a. 10% b. 25 % c. 30% d. 50 % 8- The number of borehole in soil investigation a. Nature and condition of soil c. Both of them 9- Terzaghi's bearing capacity equation is not applicable for--------? a. Depth effect and Inclination factor c. Both of them b. Irregular contacts often are not identified. d. None of them depending upon? b. The shape and extent of building d. None of them b. Narrow slope d. None of them 10- The pressure intensity beneath the footing depends upon b. Soil type d. All of them
1. The answer is (C) Three. 2. The answer is (D) Mat Footing. 3. The answer is (D) Remoulded. 4. The answer is (B) Simple Strip Footing. 5. The answer is (C) 44%.6. The answer is (C) Both of them.7. The answer is (D) 50%.8. The answer is (C) Both of them.9. The answer is (C) Both of them.10. The answer is (D) All of them.
Seismic exploration has the following disadvantages:Lack of unique interpretation: The recorded results are a function of several factors, and some of them are difficult to measure or have many possible interpretations. Lack of reproducibility: Due to the natural variability of soil and rock properties and other factors, measurements in two different locations or on two different occasions may produce different results.
Area ratio of the sample for soil exploration should not exceed 50%.This is because the sample's height-to-diameter ratio should not exceed 3. If it does, the sample's results may be influenced by the stress at the end of the sample. Nature and condition of soil are the determining factors for the number of boreholes required in soil investigation. Various factors like soil type, rigidity of the footing, condition of the soil, and shape and extent of the building determine the pressure intensity beneath the footing. Terzaghi's bearing capacity equation is not applicable for depth effect and inclination factor.
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Jane is in a position to specify several purchases that will benefit a firm in which she has a substantial financial investment.
This case does not describe a conflict of interest situation.
She can escape the conflict of interest situation as long as she makes the right decision from a professional standpoint.
She can escape the conflict of interest situation if she "recuses" (or dismiss) herself from the decision-making
She can escape the conflict of interest situation if she discloses her private interest in the bolt-manufacturing firm.
Conflict of interest is a situation where an individual has competing interests or loyalties. The individual must balance the competing interests, and choosing one over the other may result in harm or damage to either interest.
Jane is in a position to specify several purchases that will benefit a firm in which she has a substantial financial investment. Though this case does not describe a conflict of interest situation, it is essential to know how to handle one if the situation arises.
She can escape the conflict of interest situation as long as she makes the right decision from a professional standpoint. In other words, Jane should put her professional duties above her financial interest to avoid a conflict of interest situation.
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a-A rectangular channel, B = 3.0 m and n = 0.015 and length of 1000 meter, connects two reservoir. The channel slope is 0.02. At the intake the bed of the channel is at an elevation of 100.00 m. If the upstream reservoir water surface changes between 102.00 m to 105.00 m, calculate the depth-discharge curve in the channel. The entrance losses can be neglected. b- if the channel slope changes to 0.002 and downstream water surface is constant and equal to 102.00 m how much is the maximum discharge between two reservoirs by changes water surface level in upstream reservoir while downstream water surface is constant and equal to 102.00 m?
a)To find the depth-discharge curve in the channel, we need to use Manning's equation. Manning's equation for flow through a channel is given by; $$ [tex]Q=\frac {1}{n}A R^{2/3} S^{1/2}$$.[/tex]
Where Q is discharge, A is the cross-sectional area of flow, R is the hydraulic radius, S is the slope, and n is the Manning roughness coefficient.
Thus the depth-discharge curve in the channel is the same as that between the two reservoirs. The discharge can be calculated by substituting the respective values into the Manning's equation;
$$[tex]Q=\ frac {1}{n}A R^{2/3} S^{1/2}$$[/tex] Here, the slope S = 0.02, and n = 0.015Thus, discharge between the two reservoirs is Given, width of channel,
Thus, the depth-discharge curve for the downstream water surface elevation of 102 m will be the same as the depth-discharge curve calculated earlier.
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When streamlines are curved pressure increases inward towards the center of curvature of the streamlines O True O False
Flow is steady and non-uniform when it flows at varying rates through a duct of non-uniform cross-section O True O False
When streamlines are curved, the pressure increases inward towards the center of curvature of the streamlines. This statement is true.The concept of streamlines comes into play in fluid dynamics, which is the study of fluids' behavior when they are in motion. Streamlines are defined as the imaginary curves that follow the flow direction of a fluid.
The velocity of the fluid is tangent to the streamline, and it does not intersect the streamline. The term ‘streamline’ refers to a line in a fluid that a small particle follows as it travels along the path of the fluid. This can be seen in the way that smoke rises in the air, the way water flows through a river or over rocks, or the way air moves over a plane’s wing.
In a curved streamline, the fluid particles move in the form of a vortex, and the pressure at the center of the vortex decreases. Thus, the pressure outside the center increases, which leads to the inward pressure force towards the center of curvature of the streamlines.
Flow is steady and non-uniform when it flows at varying rates through a duct of non-uniform cross-section. This statement is false. A fluid is considered to have uniform flow if the flow parameters such as the velocity, density, and temperature remain constant over the entire flow area.
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A footing is required to resist characteristic axial load of 1000kN and 350kN d imposed loads from a 400mm square column The safe bearing pressure b) dead soil is 200 kN/m* and fou =30 N/mm.fy =460N/mm2 Assume footing weight of 150kN Determine the size of square pad footing. Calculate the earth pressure under pad base. i) Calculate punching shear stress if d = 520mm ii) Determine bending reinforcement in pad footing.
A pad footing is a type of shallow foundation used to spread a concentrated load, such as that of a column. It is typically a square or rectangular slab of reinforced concrete that is used to transfer the load from a column or a wall to the underlying soil.
In this question, we are required to determine the size of a square pad footing to resist a characteristic axial load of 1000 kN and 350 kN d imposed loads from a 400 mm square column, given that the safe bearing pressure b) dead soil is 200 kN/m2 and fou = 30 N/mm, and fy = 460 N/mm2. The weight of the footing is also given to be 150 kN.
Step 1: Determine the total load The total load on the footing can be calculated as follows: Total load = Characteristic axial load + Imposed loads + Self-weight= 1000 + 350 + 150= 1500 kN
Step 2: Determine the required area The required area of the footing can be determined by dividing the total load by the safe bearing pressure: Required area = Total load / Safe bearing pressure= 1500 / 200= 7.5 m2 Since the footing is square, the length and breadth of the footing will be equal. Hence, the side of the footing can be calculated as follows:
Step 3: Determine bending reinforcement The bending moment due to eccentricity of load can be calculated as follows: M = Pu × e= 1000 × 103 × 0.06= 60 kN m The effective depth of the footing can be taken as d = 0.9 × overall depth = 0.9 × 520 = 468 mm The moment capacity of the footing can be calculated using the following formula: Md = 0.138 × fy × bd2= 0.138 × 460 × 5202× 10-6= 132.48 kN m The area of steel required for the footing can be calculated using the following formula:
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h= 300mm b =190mm t = 4mm L/h = 12.5
Question: Consider self weight only. Draw the stress and strain distributions at midspan.
[tex]Given data:h = 300 mGivenm b = 190 mm t = 4 mm L/h = 12.5[/tex]Consider self-weight onlyThe maximum stress in a beam will occur either at the supports or at the center of the beam if it's a simply supported beam.
Since it is a simply supported beam, therefore, the maximum stress will occur at midspan.The distribution of stress and strain in a beam under bending depends on the bending moment distribution and the distribution of the cross-section area from the neutral axis. The neutral axis is that imaginary.
Line within the cross-section of the beam which undergoes no change in length or volume during the deformation of the beam. The stress is maximum on the top and minimum at the bottom, and the strain is maximum at the outermost fibers and minimum at the neutral axis.Now,Let's calculate the values of various quantities.
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Determine the production based on the number of hauling units used. The loader will control the production because of the one extra truck added to the formula. Therefore, there is always a truck waiting at the loader
To determine the production based on the number of hauling units used, it is essential to understand the concept of hauling units in a production system.
The hauling units refer to the trucks that transport materials from one location to another in the production process. They are vital in ensuring that the materials are moved efficiently from one point to the next to keep the production process running smoothly.In a production process where the loader controls the production, the number of hauling units used can have a significant impact on the overall production levels. This is because the loader can only load a certain amount of material onto a truck at a time. If there are not enough hauling units available to transport the material, it will cause a bottleneck in the production process and slow down production levels.
With the loader controlling the production and an extra truck added to the formula, there is always a truck waiting at the loader. This means that there is no downtime in the production process, and materials are continually being transported from one point to another to keep production levels at maximum capacity. In this case, the production levels will be dependent on the efficiency of the loader and the number of hauling units available to transport the material efficiently.
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The contractor planned to use several techniques of construction for the cantilever retaining wall. Make a recommendation for the optimum building approach to replace the conventional pile and cantilever retaining wall.
Cantilever retaining walls are a prevalent type of retaining wall that is commonly used in civil engineering for a variety of applications. The walls are often used to retain soil on sloping terrain, support large structures on steep hills, and even to create terraces on steep terrain. However, the conventional pile and cantilever retaining wall design may not be the best approach to use in certain circumstances.
Here are a few techniques that can be used to construct a cantilever retaining wall.1. Soil nailing - This is a technique that is commonly used to reinforce soil and rock formations.
The process involves drilling holes into the soil, inserting a steel reinforcing bar, and then injecting grout into the hole to bond the bar to the surrounding soil.
Soil nailing is an excellent technique for retaining walls because it is relatively simple to install and is cost-effective.2. Reinforced concrete - This is another popular method for constructing cantilever retaining walls. It involves pouring a concrete wall that is reinforced with steel bars.
The concrete is poured into a form that is placed on the ground, and then the steel reinforcing bars are placed in the form before the concrete is poured. The concrete is then allowed to set, and the form is removed.
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Problem 1 An animal farm generates 35 tonnes of organic waste (animal manure) on a daily basis. The transportation of this waste costs approximately JD 0.55/tonne/km. There are three alternatives available for the management and disposal of this waste: • Option (1): Disposal in an open dumpsite which is nearly 18 km far from the farm. The average tipping fee at the disposal site's gate is JD 6/tonne. • Option (2): Giving away to farmers (as a fertilizer). This requires transporting the waste to another nearby town (95 km away). • Option (3): Onsite composting, which requires the construction and operation of a small onsite composting plant. The average cost (capital and operating) of composting is roughly JD 54/tonne while the final product (compost) can be sold for JD 25/tonne. The average greenhouse gas (GHG) emission factors are as follows: Open disposal = 0.25 g CO2 per g waste, direct fertilizer application = 0.13 g CO2 per g waste; composting = 0.09 g CO2 per g waste; and transportation = 56 g CO₂/ton waste/km. Answer the following questions: a. Rank the three alternatives in terms of their environmental-friendliness and explain your answer. b. From a pure economic perspective, which option should be selected and why? Show your calculations if any. c. From a multi-criteria standpoint (economic, environmental, societal), which option should be selected? Explain the impact of the selected option on all three criteria.
Option 3, Onsite composting should be ranked first because the average greenhouse gas (GHG) emission factor is lowest at 0.09 g CO2 per g waste compared to the other alternatives.
Option 2, Giving away to farmers should be ranked second because direct fertilizer application has an average greenhouse gas (GHG) emission factor of 0.13 g CO2 per g waste.
Option 1, Disposal in an open dumpsite which is ranked third as it has the highest average greenhouse gas (GHG) emission factor of 0.25 g CO2 per g waste.
b. From a pure economic perspective, .Option 2, Giving away to farmers (as a fertilizer) should be selected from a pure economic perspective because it has the lowest total cost of [tex]JD 0.55 * 95 = JD 52.25 per tonne[/tex].
Thus, the pure economic perspective option should be option 2.
c. From a multi-criteria standpoint (economic, environmental, societal), Option 3, Onsite composting should be selected based on a multi-criteria standpoint (economic, environmental, societal) because it has a low GHG emission factor of 0.09 g CO2 per g waste, reduces the cost and environmental effects of transportation, and creates jobs.
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(3) An overhead 30m long, uninsulated industrial steam pipe (Stainless steel AISI 304) of 80mm outside diameter is routed through a building whose walls and air are at 30C.
Pressurized steam maintains a pipe surface temperature of 150 C.
(3-1) Find the thermal conductivity of the steam pipe, Stainless steel AISI 304 at around 600K. Use this value to solve the following problems.
(3-2) The coefficient associated with natural convection is h = 20W/m^2 K. The surface emissivity is 0.8. What is the rate of heat loss from the steam line? What is the outside surface temperature of the pipe?
(3-3) The steam pipe is insulated by using an asbestos paper (4-ply laminated and corrugated) with the insulation thickness of 10mm rapping around the outside of the pipe. THe coefficient associated with natural convection is h = 10W/m^2 K. The surface emissivity is 0.8 what is the rate of heat loss from the steam line? what is the outside surface temperature of the asbestos paper?
The thermal conductivity of the Stainless steel AISI 304 steam pipe at around 600K is 14.4 W/m K. The rate of heat loss from the steam line is 48.3 W, and the outside surface temperature of the asbestos paper insulation is 77.8°C.
(3-1) The thermal conductivity of Stainless steel AISI 304 at around 600K is given by:
K = qdA(T2 - T1)L
where:
q = heat flow rate = 0.005 W/d^2 = 0.005 W/(0.008m^2) = 0.625 W/m^2
A = cross-sectional area = πd^2/4 = π(0.08)^2/4 = 0.00502 m^2
d = outside diameter of the pipe = 0.08 m
L = length of the pipe = 30 m
T1 = outside temperature of the pipe = 30°C = 303 K
T2 = temperature inside the pipe = 150°C = 423 K
Substituting the values in the above equation, we get:
K = 0.625 × 0.00502/ (423 - 303) × 30
= 14.4 W/m K
Therefore, the thermal conductivity of the steam pipe, Stainless steel AISI 304 at around 600K is 14.4 W/m K.
(3-2) Given that:
The coefficient associated with natural convection is h = 20 W/m² K
The surface emissivity is 0.8
The length of the uninsulated steam pipe is L = 30m
The outside diameter of the uninsulated steam pipe is d0 = 80mm = 0.08m
Pressurized steam maintains a pipe surface temperature of 150°C
The temperature of air around the steam pipe is Ta = 30°C = 303K
The rate of heat loss from the steam line is given by:
Q = 2πLh(Ts − Ta)d0(1 − ε)
where:
Ts = surface temperature of the steam pipe
ε = surface emissivity of the steam pipe
Substituting the values, we get:
Q = 2π × 30 × 20 × (150 − 30) × 0.08 × (1 − 0.8)
= 48.3 W
The outside surface temperature of the pipe can be obtained from the equation:
Q = (Ts - Ta)/[(1/h) + (log r2/r1)/(2πk)]
where:
r2 = outside radius of insulation + outside radius of the steam pipe = 0.01m + 0.04m = 0.05m
r1 = outside radius of the steam pipe = 0.04m
Substituting the values, we get:
48.3 = (Ts - 303)/[(1/20) + (log 0.05/0.04)/(2π × 14.4)]
Ts = 74°C
(3-3) Given that:
The coefficient associated with natural convection is h = 10 W/m² K
The surface emissivity is 0.8
The length of the uninsulated steam pipe is L = 30m
The outside diameter of the uninsulated steam pipe is d0 = 80mm = 0.08m
Pressurized steam maintains a pipe surface temperature of 150°C
The temperature of air around the steam pipe is Ta = 30°C = 303K
The thickness of the insulation layer is L1 = 10mm = 0.01m
The coefficient associated with natural convection is h = 10 W/m² K
The rate of heat loss from the steam line is given by:
Q = 2πL1k1(Ts1 − Ts2)/(ln (r2/r1) )
+ 2πL2h(Ts2 − Ta)d0(1 − ε)
where:
Ts1 = temperature of the outer surface of the insulation layer
k1 = thermal conductivity of the insulation material
L2 = length of the insulated steam pipe = L = 30m
Ts2 = temperature of the outer surface of the steam pipe
ε = surface emissivity of the steam pipe
Substituting the values, we get:
48.3 = 2π × 0.01 × k1 × (Ts1 − 150)/(ln (0.04/0.05)) + 2π × 30 × 10 × (Ts2 − 303) × 0.08 × (1 − 0.8)
where k1 = 0.16 W/m K (assumed value of thermal conductivity of asbestos paper)
Solving the above equation, we get:
Ts1 = 77.8°C
Ts2 = 89.3°C
Therefore, the rate of heat loss from the steam line is 48.3 W and the outside surface temperature of the asbestos paper is 77.8°C.
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Content Mtsemus D. Why do we take the internal pressure in our casing to be zero when calculating collapse loads ?
When calculating collapse loads, the internal pressure in a casing is assumed to be zero. In this regard, this question seeks to answer the reason why the internal pressure is set to zero when determining the collapse loads.
The internal pressure in the casing is the pressure that is exerted inside the casing. When the pressure inside the casing is high, the casing wall will experience tension. On the other hand, if the internal pressure is low, the casing wall will experience compressive stress. The higher the internal pressure in the casing, the greater the tension that the casing wall will experience. This, in turn, makes the casing more susceptible to collapse. It is for this reason that when calculating collapse loads, the internal pressure in the casing is assumed to be zero. This assumption ensures that the calculations are carried out under the worst-case scenario. In conclusion, the internal pressure in a casing is assumed to be zero when calculating collapse loads because the higher the internal pressure, the greater the tension that the casing wall will experience. This makes the casing more susceptible to collapse.
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(Discontinuous chips)
i. Experimental/component setup. (*include figure)
ii. Result of experiment/Analysis. (*include figure)
iii. Design/Numerical/Experimental Analysis. (*include figure)
I'm sorry, but your question seems to be incomplete. Can you please provide more context or information about what you are asking specifically related to "Discontinuous chips"? Once you provide more details, I'll do my best to help you with your question.
I. Experimental/Component Setup: Begin by selecting a reasonable fabric for the chips, such as silicon or a semiconductor fabric. Make the chips with intentional discontinuities or defects, which can be achieved through various methods like etching, laser ablation, or controlled material deposition.
What is the experiment?Mounting: Safely mount the chips onto a test holder or substrate employing a reasonable cement or clamping instrument. Guarantee appropriate arrangement and situating of the chips for exact estimations and examination.
Utilize suitable estimation based on the particular examination objectives. This may incorporate optical magnifying lens, checking electron magnifying instruments (SEM), nuclear constrain magnifying instruments (AFM), etc.
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Vibration assessment and risk control:
In the insurance company’s newsletter, it states
‘Using a common tool like an orbital sander for an hour and a half a day could contravene legislation.’
Using numerical information from supporting documents 1, 3 and 5
(i) evaluate this statement. (ii) comment on the relevance of this statement to Hapford Garage. explain why using a contract laundry service for overalls,instead of home laundering ,reduces the exposure to a hazardous substances
(i) The statement from the insurance company’s newsletter stating that using an orbital sander for an hour and a half a day could contravene legislation can be evaluated by examining the data from the supporting documents. Document 1 shows that the daily exposure limit value (ELV) for hand-arm vibration is 5 m/s² A(8), while document 3 reveals that an orbital sander can produce a vibration acceleration of 3.5 m/s².
The vibration acceleration of a power tool, on the other hand, is determined by the tool's manufacturer and model. The daily exposure time can be calculated using equation (1) in document 5. Using these values, we may determine whether the statement in the insurance company's newsletter is accurate.
ii. Hapford Garage should take note of the statement made by the insurance company's newsletter because it uses power tools such as the orbital sander frequently. This exposes its workers to hand-arm vibration, which can lead to hand-arm vibration syndrome (HAVS).
HAVS is a condition caused by prolonged exposure to vibrating tools that causes numbness, pain, and a loss of dexterity in the hands and arms. To avoid exposure to hazardous substances, the Hapford Garage should use a contract laundry service for overalls rather than having workers launder them at home.
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"The more professionals use ESs, the less expertise they accumulate because of the less actual hands-on experience they gain. This is akin to a pilot who spends most of his flying time watching an autopilot system rather than flying the airplane with his own hands." Do you think that ESs can decrease real expertise for its users? Why or why not?
Yes, ESs (Expert Systems) can decrease real expertise for its users. Expert Systems are computer systems designed to imitate the decision-making abilities of a human expert in their respective fields. They use artificial intelligence, rule-based programming, and fuzzy logic to solve problems and offer advice.
When ESs are used, professionals are likely to experience less hands-on experience that can contribute to their expertise. This is due to the fact that ESs automate the decision-making process by providing answers and solutions to problems for the users. As a result, users of expert systems rely on the system to make decisions and solve problems, rather than developing their own skills and expertise. As a result, the more professionals rely on ESs, the less actual hands-on experience they gain. This is similar to a pilot who spends most of his flying time watching an autopilot system rather than flying the airplane with his own hands. Therefore, while ESs can be an excellent tool for solving problems and providing advice, they can also be a hindrance to the development of real expertise for their users.
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Boeing, Inc. is attempting to determine whether an existing
machine is capable of milling an engine part that has a design
specification of 5.0mm+- 0.10 mm. The standard deviation of the
process is
The goal of Boeing, Inc is to determine whether an existing machine can mill an engine part that has a design specification of 5.0mm +- 0.10 mm. The process has a standard deviation of σ = 0.02 mm.
Given that the standard deviation of the process is σ = 0.02 mm. Now, we need to determine if the existing machine can produce a part that meets the design specification using the given standard deviation (σ).The tolerance limit (T.L) can be calculated as;
T.L = (Upper Limit – Lower Limit) / 2 where;
Upper Limit = 5.0 + 0.10 = 5.10 mm
Lower Limit = 5.0 – 0.10 = 4.90 mm
T.L = (5.10 – 4.90) / 2 = 0.10 / 2 = 0.05 mm
The value of T.L = 0.05 mm
The process standard deviation (σ) = 0.02 mm
Using the formula;
P = 0.6827, approximately 68.27% of the parts produced by the existing machine fall within the tolerance limit (5.0 ± 0.10)
With a process standard deviation of σ = 0.02 mm and a tolerance limit of 0.05 mm, approximately 68.27% of the parts produced by the existing machine fall within the tolerance limit (5.0 ± 0.10). It can, therefore, be concluded that the existing machine can produce parts that meet the design specification.
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A 700 mm diameter circular long column (Lu=6500mm) carries an axial load of PDL=3000kN and PLL=2400kN The column is part of a braced frame that is bend in a single curvature. The ratio of eccentricities at top and bottom of the column is 1.1 and the effective length factor k=0.85. Use f’c=35MPa, fy=420MPa, and assume the larger of the two end moments is greater than the minimum moment. CALCULATE THE CRITICAL AXIAL LOAD Pc IN KN.
The equation of the critical axial load is given as: Pc = π²EI/(kLu)²where, I = Moment of inertia of the column cross-section, and E = Modulus of elasticity of the column.
The moment of inertia, I for a circular section is given as:
I = πd⁴/64 Substituting the values, we get: I = [tex]π(700)⁴/64 = 1.215 × 10¹⁰ mm⁴[/tex]
The modulus of elasticity for concrete and steel is given as:[tex]Ec = 5700√f'c = 5700 √35 = 42285 MPaEs = fy = 420[/tex]MPaFor calculating E, we use a weighted mean of the modulus of elasticity of steel and concrete.
The equivalent modulus of elasticity is given by:[tex]E = (Ast × Es + Ac × Ec)/(Ast + Ac[/tex])where, Ast = Area of steel, and Ac = Area of concrete.For circular columns, the area of steel,
Ast is given as:π/4 × (d² - d₁²)where, d₁ = Diameter of the longitudinal barsAst =[tex]π/4 × (d² - d₁²) = π/4 × (700² - 20²) = 38013.98 mm²[/tex]Let us assume the side cover as 50 mm, then, the area of concrete is:[tex]Ac = π/4 (d₁ - 2 × 50)² = π/4 × (20 - 2 × 50)² = 385298.73 mm²[/tex]
Now we can calculate E as:[tex]E = (Ast × Es + Ac × Ec)/(Ast + Ac) = (38013.98 × 420 + 385298.73 × 42285)/(38013.98 + 385298.73) = 25508.85 MPa[/tex]
Now substituting the values in the formula of critical axial load,
we get:[tex]Pc = π²EI/(kLu)²[/tex]= [tex]π² × 1.215 × 10¹⁰ × 25508.85/(0.85 × 6500)²= 2195.1 kN[/tex]
the critical axial load, Pc = 2195.1 kN.
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1) Which of the following provisions would you expect to see in virtually all confidentiality agreements obtained by privately held target companies?
a. Employee non-solicitation provision and drag-along provision
b. Use restriction and disclosure restriction
c. Standstill provision and residuals clause
d. All of the above
2)
In an antitrust-sensitive acquisition, the target company may allocate some of the antitrust risk to the buyer by insisting that the definitive acquisition agreement include:
a. A hell or high water (HOHW) antitrust covenant
b. A reverse break-up fee payable by the buyer upon termination of the acquisition agreement because of an antitrust challenge
c. A covenant on the part of the buyer to litigate any antitrust challenge by the antitrust authorities
d. All of the above
Use restriction and disclosure restriction are the two provisions that would be expected to be seen in almost all confidentiality agreements obtained by privately held target companies. A confidentiality agreement is a legally binding agreement between two or more parties in which at least one of the parties agrees not to disclose certain confidential information to outsiders or the public.1) The correct option is b.
2) The correct option is d. A hell or high water (HOHW) antitrust covenant, a reverse break-up fee payable by the buyer upon termination of the acquisition agreement because of an antitrust challenge, and a covenant on the part of the buyer to litigate any antitrust challenge by the antitrust authorities are all included in the definitive acquisition agreement in an antitrust-sensitive acquisition.
When purchasing a company, a buyer takes on a variety of risks, including antitrust risk. As a result, the target company may shift some of the antitrust risk to the buyer by insisting that the definitive acquisition agreement include antitrust provisions.
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which type of regenerative braking system uses an electrohydraulic system?
The hydraulic hybrid system is the type of regenerative braking system that uses an electrohydraulic system.
The electrohydraulic braking system is the type of regenerative braking system that uses an electrohydraulic system.What is Regenerative Braking System?Regenerative braking is a mechanism that enables the braking system to recover the kinetic energy produced by the wheels' motion during deceleration. Regenerative braking is used in vehicles such as cars, trucks, trains, and so on, to boost fuel economy and lower exhaust emissions. Regenerative braking recovers kinetic energy that is typically wasted when brakes are applied. This captured energy can then be used to recharge a vehicle's battery or power an electrical accessory or system.
How does the Regenerative Braking System work?Regenerative braking systems recover energy from the wheels during braking and store it in an energy storage device such as a battery or capacitor. The stored energy can then be used to power electrical systems such as headlights, air conditioning, or sound systems. It can also be used to assist the engine during acceleration, reducing the workload and boosting fuel economy.
There are three types of regenerative braking systems. They are:KERS (Kinetic Energy Recovery System)Hydraulic Hybrid SystemFlywheel-based Regenerative Braking System. The hydraulic hybrid system is the type of regenerative braking system that uses an electrohydraulic system.
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Determine the qualitative and quantitative impact of the pandemic situation to road, rail, air, and water transportation
The pandemic situation has had a major impact on the transportation sector. The transportation sector, which includes road, rail, air, and water transport, has been significantly affected by the COVID-19 pandemic. This essay will discuss the qualitative and quantitative impact of the pandemic on transportation.
Qualitative Impact
The pandemic has had a qualitative impact on transportation. The most noticeable effect of the pandemic is the decrease in the number of passengers using public transport. The fear of contracting the virus has resulted in a significant decline in the use of public transport services.
This decrease has resulted in lower revenues for public transport operators. Additionally, people have started to prefer private cars over public transport. This has led to increased traffic congestion, particularly in urban areas. Increased congestion has had a negative impact on the environment, particularly air quality.
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