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Axial Stress Calculation
Axial Stress Calculation
maximum compressive stress calculation?
A thin walled equal angle (L shaped) has leg length 100mm and thickness 10mm. It carries a a bending moment of 5kNm about the major bending axis and an axial compression of 10kN. Find the maximum stress due to bending and axial stress?
Can I just draw a Mohr’s circle for this? Also do I assume the L shape is 100mm tall and 100 mm base ( I am confused about this)?
Finally is the x axis always the major bending axis and the y the minor? I don’t know why this is the case?
If someone could just shed some light on this, it would be really great.
You don’t need Mohr’s circle for this one. I would assume that the L angle bracket has two legs of equal length, since no other information is given. However, the major bending axis is halfway between the two legs (at 45 degrees to each of them).
First, find the maximum stress due to bending using this formula:
σ_b = M*y/I
where σ_b is the bending stress, M is the moment, y is the distance from the bending axis, and I is the area moment of inertia about that axis.
Then find the stress due to axial compression using this formula:
σ_c = F/A
where σ_c is the stress due to axial compression, F is the force, and A is the cross-sectional area of the bracket.
Now add the two stresses together to find the maximum compressive stress.
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