Shear
Stress in Beams
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Example: * (continued) |
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Recall that the bending stress, σ, =
Mc/I Remember that the change
in bending moment equals the area under the shear diagram. So the bending moment at the
section is [(5400 + 2700)/2](1.5)(12) =
72,900 lb in For 1 and 5 c
= 5 in. For
2 and 4 c = 2.5 in. The moment of inertia is
for the entire x-section about the neutral axis. I
= 666.66 in4 So the bending stress at 1
and at 5 has a magnitude of 546.5 psi The bending stress at 3 is
zero. So the bending stress at 2
and at 4 has a magnitude of 273.3 psi So the stresses on each
element at 1, 2, 3, 4, and 5 are as
follows: Click here for an example
involving a built-up beam. |
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