- #1
alexteplyaxins
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- Homework Statement
- Determine the largest internal shear force resisted by the bolt.
- Relevant Equations
- Apply equibrilium state.
Optimizing Shear Stress in Structural Analysis
- Thread starter alexteplyaxins
- Start date
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- Shear Shear stress Stress
In summary, the conversation discusses two cases, a and b, where the sums of the forces are to be determined. In case a, the problem can be solved by applying equilibrium of force and momentum to find the values of F_a and F_b. However, in case b, there is no third equation provided, making it impossible to solve. The possibility of taking away the shown forces and finding the shear on the bolt through tensions and compressions in the members on the left is also mentioned. It is suggested to set one of the unknown members as an unknown and find the shears in terms of it, then find the value of the unknown that minimizes the maximum shear.
- #2
osilmag
Gold Member
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What are the sums of the forces for each case?
- #3
alexteplyaxins
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I just can solve problem ##a## by apply equilibrium of force and momentum to find ##F_a## and ##F_b##. But with case b, I can't find third equation.osilmag said:
Thank for read
- #4
alexteplyaxins
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Boom, boom !
- #5
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Yes, b) is not fully specified. E.g. you could take away all of the shown forces and still have shear on the bolt resulting from tensions and compressions in the members on the left.alexteplyaxins said:
You could set one of those on the left as an unknown and find the shears in terms of that, then find the value of the unknown which minimises the maximum shear.
1. What is shear stress and why is it important in engineering?
Shear stress is a type of stress that occurs when two forces are applied parallel to each other in opposite directions, causing the material to deform. It is important in engineering because it can cause structural failures and must be taken into consideration when designing and constructing buildings, bridges, and other structures.
2. How do you calculate the largest shear stress in a material?
The largest shear stress can be calculated by dividing the shear force by the cross-sectional area of the material. This is known as the shear stress formula: τ = F/A, where τ is shear stress, F is shear force, and A is the cross-sectional area.
3. What factors can affect the maximum shear stress in a material?
The maximum shear stress in a material can be affected by the magnitude and direction of the applied forces, the cross-sectional area of the material, and the type of material being used. Additionally, the shape of the object and any external loading can also impact the maximum shear stress.
4. How can you determine the safety of a material based on its maximum shear stress?
The safety of a material can be determined by comparing the maximum shear stress to the material's yield strength. If the maximum shear stress is lower than the yield strength, the material is considered safe and will not experience permanent deformation. However, if the maximum shear stress is higher than the yield strength, the material may fail and should be redesigned or replaced.
5. Can the largest shear stress ever be completely eliminated in a material?
No, it is impossible to completely eliminate shear stress in a material. However, engineers can design structures and materials to minimize the effects of shear stress and ensure the safety and stability of the structure. This can be achieved through careful analysis, material selection, and design modifications.
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