How Do Forces Differ in Multiple Members of a Structure?

In summary, the conversation discusses how to find the forces in two different members using the equation σ=F/A. The person asking for help is having trouble determining the forces and is seeking guidance. They should first determine the end reaction at C and then use a free body diagram for each part to find the forces. Eventually, setting the stresses in each part equal will allow them to solve for the unknown force P. After receiving additional help, they were able to figure out the solution.
  • #1
gikiian
98
0

Homework Statement



(please see the attachment)

Homework Equations



σ=F/A

The Attempt at a Solution


I just can't figure out how to find the forces in the two members.
Actually I thought the force in both members will be the same, but according to the problem statement it clearly isn't that way.
Kindly help me with this.
 

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  • #2
You should determine the end reaction at C first, using the equilibrium equation in the x direction. C will be a function of the unknown force P. Then a FBD of each part will give the force in that part, then set the stresses in each part equal to solve for P. Please show your workings.
 
  • #3
Yeah, I got it. Thanks :)
 

FAQ: How Do Forces Differ in Multiple Members of a Structure?

What is Mechanics of Materials?

Mechanics of Materials is a branch of engineering that deals with the behavior of solid objects subjected to external forces. It involves the study of how different materials behave under different loading and environmental conditions, and how they deform and fail.

Why is Mechanics of Materials important?

Mechanics of Materials is important because it helps engineers understand how materials behave under different conditions, which is crucial in designing safe and reliable structures and machines. It also plays a major role in fields such as civil engineering, mechanical engineering, and aerospace engineering.

What are the basic principles of Mechanics of Materials?

The basic principles of Mechanics of Materials include stress, strain, and deformation. Stress is a measure of the internal forces within a material, while strain is a measure of the material's deformation. These two principles are related by Hooke's Law, which states that stress is directly proportional to strain within a material's elastic limit. Deformation refers to the change in shape or size of a material under stress.

What are the different types of loads in Mechanics of Materials?

The different types of loads in Mechanics of Materials include tension, compression, shear, bending, and torsion. Tension and compression are forces that pull or push on a material, respectively. Shear refers to forces that act parallel to the surface of a material, while bending and torsion involve forces that cause a material to bend or twist.

How is Mechanics of Materials applied in real-world scenarios?

Mechanics of Materials is applied in various real-world scenarios, such as designing buildings, bridges, and other structures to withstand different types of loads. It is also used in the design of vehicles, aircraft, and other machines to ensure their safety and performance under various operating conditions. Additionally, it is used in materials testing and failure analysis to understand the behavior of materials and improve their properties.

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