The quantity which is equal in both matrix and reinforcing phase when a force is applied parallel to a reinforcing phase of a composite material.

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Answer 1

Question

Chapter 12, Problem 1CQ

To determine

The quantity which is equal in both matrix and reinforcing phase when a force is applied parallel to a reinforcing phase of a composite material.

Expert Solution & Answer

Answer to Problem 1CQ

Thestrainis equal in both matrix and reinforcing phase when a force is applied parallel to a reinforcing phase of a composite material.

Explanation of Solution

The composite material is a combination of two or more materials together to reinforce the properties of base material. In a composite material the matrix phase is reinforced or surrounded by second phase to provide unique properties like conductivity, strength, wear resistance etc. to composite.

When a force is applied to a reinforced phase, a strain developed in both the matrix and reinforcing phase. The developed strain is considered to be equal in magnitude for both the matrix and reinforce material.

When a force is applied to the reinforced phase, due to the stress developed, the material with very low strain to fracture will fails first. The failure is due to the fact that the phases of composite material would have same strain.

Conclusion:

Thus, thestrainis equal in both matrix and reinforcing phase when a force is applied parallel to a reinforcing phase of a composite material.

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Assume a car park facility where the arrival rate is λ customer every minute, and the service process including pressing the button, taking the card, and waiting for the boom to rise leads to service rate of μ customer every minute. a. Assume the arrival and service processes are stochastic. Using any software (Excel, Matlab, or the one you prefer), plot average delay time (including service time) and average queue size (including the vehicle currently being served) for all combinations of λ = {1,2,3,..,10} and p = {0.1,0.3,0.5,0.7,0.9}. Specifically, we ask you to make 2 graphs (one for average delay and the other for average queue size), where the x-axes contains the different values for 1, and where you make one curve for each p. b. Assume the arrival process is stochastic but the service process is deterministic with rate µ. Using any software (Excel, Matlab, or the one you prefer), plot average delay time (including service time) and average queue size (including the vehicle…

Consider, M people (aka pax) who want to travel by car from O to D. They all start working at D at Q (e.g., Q-8am). If a person departs at time t, assume the time needed to go from O to D is given by c(t)=A+Bx(t), where x(t) is the flow of people departing at time t [car/unit of time]. In addition, a is the penalty for being early at work (E(t) is how early the person arrived when departing at time t), and ẞ is the penalty for being late at work (L(t) is how late the person arrived when departing at time t). Assume 0 < a < 1 < ß. Further assume the departure time choice problem under the equilibrium conditions. Prove that the arrival time of people who depart when most of the M people start their trips is equal to Q.

Consider, M people (aka pax) who want to travel by car from O to D. They all start working at D at Q (e.g., Q=8am). If a person departs at time t, assume the time needed to go from O to D is given by c(t)=A+Bx(t), where x(t) is the flow of people departing at time t [car/unit of time]. In addition, a is the penalty for being early at work (E(t) is how early the person arrived when departing at time t), and ẞ is the penalty for being late at work (L(t) is how late the person arrived when departing at time t). Assume 0 < a < 1 < ß. Further assume the departure time choice problem under the equilibrium conditions. Prove that the arrival time of people who depart when most of the M people start their trips is equal to Q.

Answer 2

Question

Chapter 12, Problem 1CQ

To determine

The quantity which is equal in both matrix and reinforcing phase when a force is applied parallel to a reinforcing phase of a composite material.

Expert Solution & Answer

Answer to Problem 1CQ

Thestrainis equal in both matrix and reinforcing phase when a force is applied parallel to a reinforcing phase of a composite material.

Explanation of Solution

The composite material is a combination of two or more materials together to reinforce the properties of base material. In a composite material the matrix phase is reinforced or surrounded by second phase to provide unique properties like conductivity, strength, wear resistance etc. to composite.

When a force is applied to a reinforced phase, a strain developed in both the matrix and reinforcing phase. The developed strain is considered to be equal in magnitude for both the matrix and reinforce material.

When a force is applied to the reinforced phase, due to the stress developed, the material with very low strain to fracture will fails first. The failure is due to the fact that the phases of composite material would have same strain.

Conclusion:

Thus, thestrainis equal in both matrix and reinforcing phase when a force is applied parallel to a reinforcing phase of a composite material.

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Answer 3

Question

Chapter 12, Problem 1CQ

To determine

The quantity which is equal in both matrix and reinforcing phase when a force is applied parallel to a reinforcing phase of a composite material.

Expert Solution & Answer

Answer to Problem 1CQ

Thestrainis equal in both matrix and reinforcing phase when a force is applied parallel to a reinforcing phase of a composite material.

Explanation of Solution

The composite material is a combination of two or more materials together to reinforce the properties of base material. In a composite material the matrix phase is reinforced or surrounded by second phase to provide unique properties like conductivity, strength, wear resistance etc. to composite.

When a force is applied to a reinforced phase, a strain developed in both the matrix and reinforcing phase. The developed strain is considered to be equal in magnitude for both the matrix and reinforce material.

When a force is applied to the reinforced phase, due to the stress developed, the material with very low strain to fracture will fails first. The failure is due to the fact that the phases of composite material would have same strain.

Conclusion:

Thus, thestrainis equal in both matrix and reinforcing phase when a force is applied parallel to a reinforcing phase of a composite material.

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Answer 4

Question

Chapter 12, Problem 1CQ

To determine

The quantity which is equal in both matrix and reinforcing phase when a force is applied parallel to a reinforcing phase of a composite material.

Expert Solution & Answer

Answer to Problem 1CQ

Thestrainis equal in both matrix and reinforcing phase when a force is applied parallel to a reinforcing phase of a composite material.

Explanation of Solution

The composite material is a combination of two or more materials together to reinforce the properties of base material. In a composite material the matrix phase is reinforced or surrounded by second phase to provide unique properties like conductivity, strength, wear resistance etc. to composite.

When a force is applied to a reinforced phase, a strain developed in both the matrix and reinforcing phase. The developed strain is considered to be equal in magnitude for both the matrix and reinforce material.

When a force is applied to the reinforced phase, due to the stress developed, the material with very low strain to fracture will fails first. The failure is due to the fact that the phases of composite material would have same strain.

Conclusion:

Thus, thestrainis equal in both matrix and reinforcing phase when a force is applied parallel to a reinforcing phase of a composite material.

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Answer 5

Chapter 12, Problem 1CQ

To determine

The quantity which is equal in both matrix and reinforcing phase when a force is applied parallel to a reinforcing phase of a composite material.

Expert Solution & Answer

Answer to Problem 1CQ

Thestrainis equal in both matrix and reinforcing phase when a force is applied parallel to a reinforcing phase of a composite material.

Explanation of Solution

The composite material is a combination of two or more materials together to reinforce the properties of base material. In a composite material the matrix phase is reinforced or surrounded by second phase to provide unique properties like conductivity, strength, wear resistance etc. to composite.

When a force is applied to a reinforced phase, a strain developed in both the matrix and reinforcing phase. The developed strain is considered to be equal in magnitude for both the matrix and reinforce material.

When a force is applied to the reinforced phase, due to the stress developed, the material with very low strain to fracture will fails first. The failure is due to the fact that the phases of composite material would have same strain.

Conclusion:

Thus, thestrainis equal in both matrix and reinforcing phase when a force is applied parallel to a reinforcing phase of a composite material.

Answer 6

Chapter 12, Problem 1CQ

To determine

The quantity which is equal in both matrix and reinforcing phase when a force is applied parallel to a reinforcing phase of a composite material.

Expert Solution & Answer

Answer to Problem 1CQ

Thestrainis equal in both matrix and reinforcing phase when a force is applied parallel to a reinforcing phase of a composite material.

Explanation of Solution

The composite material is a combination of two or more materials together to reinforce the properties of base material. In a composite material the matrix phase is reinforced or surrounded by second phase to provide unique properties like conductivity, strength, wear resistance etc. to composite.

When a force is applied to a reinforced phase, a strain developed in both the matrix and reinforcing phase. The developed strain is considered to be equal in magnitude for both the matrix and reinforce material.

When a force is applied to the reinforced phase, due to the stress developed, the material with very low strain to fracture will fails first. The failure is due to the fact that the phases of composite material would have same strain.

Conclusion:

Thus, thestrainis equal in both matrix and reinforcing phase when a force is applied parallel to a reinforcing phase of a composite material.

Answer 7

Chapter 12, Problem 1CQ

To determine

The quantity which is equal in both matrix and reinforcing phase when a force is applied parallel to a reinforcing phase of a composite material.

Answer 8

Expert Solution & Answer

Answer to Problem 1CQ

Thestrainis equal in both matrix and reinforcing phase when a force is applied parallel to a reinforcing phase of a composite material.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Explanation of Solution

The composite material is a combination of two or more materials together to reinforce the properties of base material. In a composite material the matrix phase is reinforced or surrounded by second phase to provide unique properties like conductivity, strength, wear resistance etc. to composite.

When a force is applied to a reinforced phase, a strain developed in both the matrix and reinforcing phase. The developed strain is considered to be equal in magnitude for both the matrix and reinforce material.

When a force is applied to the reinforced phase, due to the stress developed, the material with very low strain to fracture will fails first. The failure is due to the fact that the phases of composite material would have same strain.

Conclusion:

Thus, thestrainis equal in both matrix and reinforcing phase when a force is applied parallel to a reinforcing phase of a composite material.