If the specific surface energy for magnesium oxide is 1.0 J/m2 and its modulus of elasticity is (225 GPa), compute the critical stress required for the propagation of an internal crack of length 0.7 mm.

Answers

Answer 1

Answer:critical stress= 20.23 MPa

Explanation:

Since there was an internal crack, we will divide the length of the internal crack by 2

Length of internal crack, a = 0.7mm,

Half length = 0.7mm/2= 0.35mm  changing to meters becomes

0.35/ 1000= 0.35 x 10 ^-3m

The formulae for critical stress is calculated using

σC = (2Eγs /πa) ¹/₂

σC = critical stress=?

Given

E= Modulus of Elasticity= 225GPa =225 x 10 ^ 9 N/m²

γs= Specific surface energy = 1.0 J/m2 = 1.0 N/m

a= Half Length of crack=0.35 x 10 ^-3m

σC= (2 x 225 x 10 ^ 9 N/m² x 1.0 N/m /π x 0.35 x 10 ^-3m)¹/₂

=(4.5 x 10^11/π x 0.35 x 10 ^-3)¹/₂

=(4.0920 x10 ^14)¹/₂

σC=20.23 x10^6 N/m² = 20.23 MPa

​  


Related Questions

the most notable aspect in managing C/N for downlink designs is

Answers

Answer:

Explanation:

In satellite communications, downlink is the establishment of a communications link from an orbiting satellite down to one or more ground stations on Earth. Contrast with uplink.

A drive-through system at a fast food restaurant where the first facility takes the order, the second takes the money, and the third provides the food is an example of: multiple-channel, multiple-phase arrangement. single-channel, multiple-phase arrangement. single-channel, single-phase arrangement. single-channel, multiple-phase arrangement.

Answers

Answer:

single-channel, multiple-phase arrangement.

Explanation:

A single channel and a multiple phase arrangement system in a queue is the technique where a customer in a queue goes through the point where there is more than one point of activity.

In the context, in a food restaurant where there are many point of activity for a single channel of ordering food. Here in the first facility, it receives the order and second facility takes money while the other provides the food to the customer. This is an example of single channel and a multiple phase arrangement.

what does the supply chain management process involve

Answers

Answer:

It involves the active streamlining of a business's supply-side activities to maximize customer value and gain a competitive advantage in the marketplace

Explanation:

Supply chain management is the management of the flow of goods and services and includes all processes that transform raw materials into final products.

Technician A says that spot welding arms may be made of copper alloy. Technician B says that spot welding arms may be made of aluminum alloy. Who is right

Answers

Answer:

Technician A is correct

Explanation:

Spot welding is the type of welding done to join two or more metals together and it is done by applying pressure and heat to the weld area using copper alloy electrodes

Hence Technician A is absolutely correct

How did the invention of jet engine technology impact passenger travel

Answers

Answer with Explanation:

The invention of "jet engine technology" started in the latter part of the 20th century and was continuously developed over the course of years. The jet aircrafts made the travel time of passengers shorter because the engines are more powerful compared to the aircrafts run by propellers. Due to this, people tend to travel longer distances more often. Jet aircrafts ensures a smoother travel with lesser turbulence when compared to the propeller aircrafts, thus, it makes the passengers more comfortable in traveling. When it comes to style, the jet aircrafts are considered to be trendy. It allows people to travel in style.  

According to your equation, what is the functional relationship between the height of the water h_1 and the speed of the flow v_2 at Point 2

Answers

This question is incomplete, the complete question is;

Starting with the full Bernoulli’s equation, simplify the equation for the case diagrammed below, where Point 1 is at the top of the water at height h1, with negligible flow speed v1=0, and Point 2 is at height h2=0. Both Point 1 and Point 2 are open to the atmosphere so P1 = P2 = Patm.

According to your equation, what is the functional relationship between the height of the water h1 and the speed of the flow v2 at Point 2?

Answer:

the functional relationship between  the height of the water h1 and the speed of the flow v2 at Point 2 is v2 = √2gh1

Explanation:

Gravitational acceleration = g

Density of water = P

Pressure of the water at point 1 = p1 = patm

Speed of the water at point 1 = v1 = 0 m/s

Height of point 1 = h1

Pressure of the water at point 2 = p2 = patm

Speed of the water at point 2 = v2

Height of point 2 = h2 = 0 m

Now, Using Bernoulli's equation at point 1 and 2,

p1 + Pv1²/2 + Pgh1 = p2 + Pv2²/2 + Pgh2

patm + P(0)²/2 + Pgh1 = patm + Pv2²/2 + Pg(0)

Pgh1 = Pv2²/2

gh1 = v2²/2

v2² = 2gh1

v2 = √2gh1

Therefore the functional relationship between  the height of the water h1 and the speed of the flow v2 at Point 2 is v2 = √2gh1

thoughts about LGBTQ COMMUNITY

Answers

Answer:

It's perfect.

Explanation:

No matter if people know you or not they are nice and welcome

ing! If you are straight then they will accept you too. I made many friends who are just like me and overall people should just stop complaining or shaming LGBTQ+ community because they are non toxic.

Answer:

It's wonderful

Explanation:

They accepet people no matter what, the only thing is that they won't put up with is if someone is being disrespectful to any of the other communities, for example, if someone hates queers or gays they will not tolerate it and that person might get kicked out..

For a cantilever beam subjected to a parabolic distributed load, what is the order of the internal moment expression of the beam as a function of the location

Answers

Answer:

Internal moment is of 2nd order

Explanation:

A cantilever beam has a free end with no forces acting on it, and a fixed end.

First of all, we need to analyze the type of loads that are applied to the beam. We are told that it is a parabolic distributed load.

I've attached an image of what this load looks like on a cantilever.

This load will be given by a function of; q(x) = (q_o*x³)/L³.

That means that at the fixed end, there will be a force acting in the x - direction and y - direction as well as an internal moment. These different forces will need to be considered for us to derive an equation for the internal bending moment.

The free end of the beam (where it says A) has no forces acting on it and as a result of that, there'll be no shear force nor moment acting on it. However, due to the other forces acting on beam there will be an unknown deflection as well as an unknown angle of deformation.

However, at the free end, there are no forces acting on it and as such the boundary conditions will be: V(0) = 0 & M(0) = 0.

Where;

V(0) is shear force at boundary condition

M(0) is the internal bending moment at boundary condition.

Now, when we are trying to find an expression for the internal bending moment here, we'll need just boundary conditions for the parabolic distributed load, the shear force, and the internal bending moment.

Looking at the expression of the load which is q(x) = (q_o*x³)/L³.

We can set up the first differential equation for deflection as;

EI(d⁴v/dx⁴) = q(x) = -(q_o*x³)/L³

Where;

E = Young's Modulus

I = beam moment of inertia

v = beam deflection

q = the parabolic distributed load

L = the length of the cantilever beam

x = an unknown distance from the fixed point of the cantilever beam

d means differentiate.

Now, we will integrate the first differential to obtain the shear force.

Thus:

EI(d³v/dx³) = V(x) = ∫-(q_o*x³)/L³

EI(d³v/dx³) = V(x) = -(q_o*x⁴)/L⁴

Integrating again will yield internal moment.

Thus;

EI(d²v/dx²) = M(x) = ∫-(q_o*x⁴)/L⁴

EI(d²v/dx²) = M(x) = -(q_o*x^(5))/L^(5) + C1

At boundary, x = 0 and thus, C1 = 0

Thus,

EI(d²v/dx²) = M(x) = -(q_o*x^(5))/L^(5)

This is of order 2 differential equation

List the 5 parts of a system and describe them

Answers

Answer:

Computer hardware. This is the physical technology that works with information. ...

Computer software. The hardware needs to know what to do, and that is the role of software. ...

Telecommunications. ...

Databases and data warehouses. ...

Human resources and procedures.

Explanation:

Calculate the upper bound and lower bound of the elastic modulus of a Al composite that contains 20 vol.% of BN aligned, continuous fibers. The elastic modulus of Al and BN is 69 GPa and 90GPa, respectively.

Answers

Answer:

upper bound = 20.4 GPa

lower bound = 3.71 GPa

Explanation:

Given data:

20% of BN  ( Vb )

80% of AI   ( Va )

Elastic modulus of AI ( Eai ) = 69 GPa

Elastic modulus of BN ( Ebn ) = 90 GPa

lets assume the Modulus of the composite to be  3GPa ( value not given in question ) ( Em )

Calculate the upper bound of the elastic modulus

upper bound = Em*Va + Ebn * Vb

                      = 3 * 0.8 + 90 * 0.2

                      = 2.4 + 18 = 20.4 GPa

lower bound = [tex]\frac{Em * Eai}{Va*Eai +Vb*Em }[/tex]

                      = ( 3 * 69 ) / [ (0.8 * 69 ) + ( 0.2 *  3 ) ]

                      = 207 / 55.8 =  3.71 GPa

Two stepped bar is supported at both ends.At the join point of two segments,the force F is applied(downwards).Calculate reactive forces R1 and R3 at the supports.What is value of absolute maximal stress?
Choose one answer nearest your result.

given= d1=10mm d2=20mm L1=20mm L2=10mm E=200GPa F=20kN

Answers

Answer:

F=200kN

Explanation:

Urgent please help me...

Answers

Scuze , am incercat , dat chiar nu stiu. Prefer sa nu raspund si sa scriu asta decat sa raspund gresit.❤️

6. Used ____________ must be hot drained for 12 hours or crushed before disposal. A) Wet mops B) Sponges C) Oil filters D) Oily towels

Answers

Answer:

C - oil filters.

Explanation:

You must crush or drain oil filters for a minimum of 12 hours for recycling because used motor oil is hazardous waste and can affect the environment if disposed of properly so the government has created strict rules for proper disposal.

SAHARA
Jeep
WRANGLES
G​

Answers

Answer:

lol what

smmsdnndnsnsnnd

I Need help with this question

Answers

I’m in 6th grade I’m sorry

Eugene runs a company that manufactures bricks. The manufacturing process consumes a lot of energy and causes pollution, which type of
bricks is his company manufacturing?

Answers

Answer:

D. Fire clay bricks

Explanation:

Just like in the steel mills with the big furnaces that's what causes all the smoke to come out of the stacks

Answer:

d is correct

Explanation:

Does anyone understand philosophy and can explain pragmatism in the philosophy of religion ?

Answers

Pragmatism: An approach that assesses the truth of meaning of theories or beliefs in terms of the success of their practical application.

Religion: Philosophy of religion is the philosophical study of the meaning and nature of religion. It includes the analyses of religious concepts, beliefs, terms, arguments, and practices of religious adherents. The scope of much of the work done in philosophy of religion has been limited to the various theistic religions.

Calculate the magnitude of the resultant force F⃗ r=F⃗ 1+F⃗ 2+F⃗ 3 acting on the block.
Express the magnitude of the resultant force in newtons to two significant figures.

Answers

Answer:

ALT F4

Explanation:

PRESS IT and more stuff i guess

Chegg Discuss why stress-strain behavior of material is critical than just the ultimate strength of the material. What properties does pre-peak and post-peak behavior represent

Answers

Answer:

Throughout the clarification section elsewhere here, the definition of the concern is mentioned.

Explanation:

The stress-strain curve provides designers with a long list of critical parameters that are needed for utility development. Including capacity, longevity, elasticity, apparent viscosity, tension electricity, resilience, as well as flexural strength, a load-pressure assignment gave us several mechanical households at a certain point of operation. It also assists in manufacturing.During which the overarching force can inform us about the maximum energy either workload the substance will experience, which could also be inferred within the action of the stress-strain. The dynamic properties can be seen by pre maximum activity because it will be before even the maximum yield intensity as well as the posted maximum would display plastic behavior however after the peak becomes achieved, the natural frequencies continue to decline.

to determine cam ring speed you must use a ___________________,____________________or a________________

Answers

Answer:

=> The total numbers of cylinders on the engine.

=> Total number of lobes in the cam ring.

=> The direction at which the cam ring rotates.

Explanation:

A cam is a kind of ring and a device that is being used in engines. One or the main purpose of using cams in engines us because it helps in the change or transformation of the rotational movement of the engine to a translational one. Instead of using a cam ring, a cam roller can be used in place.

There are three things that can be used to to determine the speed of cam ring speed and they are given below as;

=> The total numbers of cylinders on the engine.

=> The Total number of lobes in the cam ring.

=> The direction at which the cam ring rotates.

why this site sell license cpanel very Inexpensive?(only 4 $)
sharedlicense.com

Answers

Answer:

I AM VERY BOEARD

Explanation:

Three bars each made of different materials are connected together and placed between two walls when the temperature is 12 oC. Determine the force exerted on the rigid supports when the temperature is increased to 25 oC. Also determine the stress in each material at 25 oC.

Answers

Answer:

F = 9.11 x 10³ N = 9.11 KN

Explanation:

The areas, lengths, young's modulus, and coefficient of linear thermal expansion are given in the diagram. First we find the equivalent change in length due to temperature change:

ΔL = (ΔL)steel + (ΔL)brass + (ΔL)Copper

ΔL = (∝s)(Ls)(ΔT) + (∝b)(Lb)(ΔT) + (∝c)(Lc)(ΔT)

where,

ΔL = Equivalent Change in Length = ?

ΔT = Change in Temperature = 25°C - 12°C = 13°C

Ls = Length of Steel Segment = 300 mm = 0.3 m

Lb = Length of Brass Segment = 200 mm = 0.2 m

Lc = Length of Copper Segment = 100 mm = 0.1 m

Therefore,

ΔL = (12 x 10⁻⁶ °C⁻¹)(0.3 m)(13 °C) + (21 x 10⁻⁶ °C⁻¹)(0.2 m)(13 °C) + (17 x 10⁻⁶ °C⁻¹)(0.1 m)(13 °C)

ΔL = 46.8 x 10⁻⁶ m + 54.6 x 10⁻⁶ m + 22.1 x 10⁻⁶ m

ΔL = 123.5 x 10⁻⁶ m   ----------------------- equation (1)

Now, we calculate this deflection in terms of an applied force (F):

ΔL = (F)(Ls)/(Es)(As) + (F)(Lb)/(Eb)(Ab) + (F)(Lc)/(Ec)(Ac)

ΔL = (F)(0.3 m)/(200 x 10⁹ Pa)(200 x 10⁻⁶ m²) + (F)(0.2 m)/(100 x 10⁹ Pa)(450 x 10⁻⁶ m²) + (F)(0.1 m)/(120 x 10⁹ Pa)(515 x 10⁻⁶ m²)

ΔL = F(7.5 x 10⁻⁹ m/N + 4.44 x 10⁻⁹ m/N + 1.61 x 10⁻⁹ m/N)

ΔL = F(13.55 x 10⁻⁹ m/N)   --------------------- equation (1)

Comparing equation (1) and equation (2):

123.5 x 10⁻⁶ m = F(13.55 x 10⁻⁹ m/N)

F = (123.5 x 10⁻⁶ m)/(13.55 x 10⁻⁹ m/N)

F = 9.11 x 10³ N = 9.11 KN

A universal shift register can shift in both the left-to-right and right-to-left directions, and it has parallel-load capability. Draw a circuit for such a shift register.

Answers

Answer:

Explanation:

A unidirectional shift register allows for the capability of shifting in one direction as the name unidirectional implies.

A bidirectional shift register has the capabilities of shifting in both the left to right and right to left directions.

For a Universal shift register, there are possibilities of bidirectional shifts and parallel-load capabilities that have the following properties.

There is the existence of a clear control input whose main  FUNCTION is to set all the register to 0.'

A shift control to both the right and left direction to enable both the shift right operation and shift left operation.

Finally, a parallel-load control whose function is to activate a parallel transfer from input to output.

The diagram for the circuit for such a shift register can be seen in the diagram attached below.

what are the wind energy meausering devices define

Answers

Anemometer

Explanation:

An anemometer is a device used for measuring wind speed and direction. It is also a common weather station instrument. The term is derived from the Greek word anemos, which means wind, and is used to describe any wind speed instrument used in meteorology.

A rotator has a weight of 100lb with a centroidal radius of gyration of 9 in. Determine the moment of inertia about the center of gravity for the rotator.

Answers

Answer:

8100 lbin²

Explanation:

Moment or inertia is expressed using the formula

I = mr²

M is the mass of the body

r is the radius of gyration

Given

W = 100lb

r = 9in

Required

Moment of inertia

I = Wr²

I = 100(9)²

I = 100×81

I = 8100lbin²

Hence the moment of inertia about the center of gravity for the rotator is

8100 lbin²

Answer:

1.747 lb ft⋅s^2

Explanation:

I = m * r^2

r = 9in = 9/12 = 0.75ft

m = W/g = 100lb/32.2ft/s^2 = 3.106

I = 3.106 * (0.75)^2

I = 1.747 lb ft⋅s^2

(20 points) {brainliest} pls helpp
Manufacturing processes involve several types of waste. Which methodology seeks to reduce all types of waste to improve efficiency?

A. Six Sigma
B. Just-in-time production
C. Agile project management
D. Lean manufacturing

Answers

Option D: Lean manufacturing

Hope this helps
C agile project management

Estimate the theoretical fracture strength of a brittle material if it is known that fracture occurs by the propagation of an elliptically shaped surface crack of length 0.37 mm and that has a tip radius of curvature of 0.001 mm when a stress of 1250 MPa is applied.

Answers

Answer:

48087.5MPa

Explanation:

The formula for this is

σ = 2σo√L/R

Using the information below we can solve this problem

Crack length L = 0.37mm

Radius R = 0.001 = 1x10^-3

Stress σo = 1250MPa

When we insert values into the formula

σ = 2(1250)√0.37/0.001

= 2(1250)√370

= 2(1250)(19.235)

= 48087.5 Mpa

This is therefore the theoretical fracture strength of the brittle material.

During high school Charlie found it easy to get away with cheating on his test . College Is a different story so Charlie spins as many hours devising new ways to Chi as it would take him to study and perform well in on his fashion Charlie’s shortsightedness best illustrates the consequences of

Answers

????? What are you asking??? Cause I’m
Confusled

What is the friction factor for fully developed flow in a circular pipe where Reynolds number is 1000

Answers

Shear stress decreases along the flow direction. That is why the pressure drop is highest in the entrance region of a pipe, which increases the average friction factor for the whole pipe. ... In fully developed region the pressure gradient and the shear stress in flow are in balance.
The friction factor for fully developed flow will be "0.064".

Given:

Reynolds number,

Re = 1000

As we know the formula,

→ Friction factor, [tex]F = \frac{64.00}{Re}[/tex]

By substituting the values, we get

                               [tex]= \frac{64.00}{1000}[/tex]

                               [tex]= 0.064[/tex]

Thus the response above is correct.

Learn more about friction factor here:

https://brainly.com/question/13254450

A large plate is fabricated from a steel alloy that has a plane strain fracture toughness of 50.0 MPa-m1/2 . If, during service use, the plate is exposed to a tensile stress of 200 MPa (29,000 psi), determine the minimum length of a surface crack that will lead to fracture. Assume a value of 1.0 for Y.

Answers

Answer:

The answer is "[tex]0.0199044586 \ m\\\\[/tex]".

Explanation:

The crucial stress essential for activating the spreading of the crack is [tex]\sigma[/tex], the hardness of the strain break is K, as well as the area long of a break is a, for dimensionless Y. Its equation of the length of its surface of the fracture is 50.1 MPa [tex]\sqrt{m}[/tex] on K, 200MPa on [tex]\sigma[/tex], and 1 on Y.

[tex]a = \frac{1}{\pi} (\frac{K}{Y \ \sigma} )^2 \\\\[/tex]

  [tex]= \frac{1}{\pi} ( \frac{50.0}{1 \times 200} )^2 \\\\= \frac{1}{3.14} ( \frac{1}{4})^2 \\\\= \frac{1}{3.14} ( \frac{1}{16}) \\\\=\frac{1}{50.24}\\\\=0.0199044586 \ m\\\\[/tex]

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