Shear
Stress in Beams
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Example: * (continued) |
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Use dV/dx = ˗ w(x), dM/dx = V(x),
and M(x) =
∫ V(x) dx Note the slope of the
shear diagram is negative w(x) = ˗ 1800 lb/ft , the slope of the moment diagram varies
linearly with the slope at the center being zero, and the area under the shear diagram gives
the value of the moment. So the shear
force starts out at A with a value of 5400 lb and decreases linearly to a value
of − 5400 lb at end
B. The bending moment at the simply
supported ends is zero. The maximum value of the bending
moment is at the center. See the
figures below. So the maximum shear
stress acts along the neutral axis of the beam at both ends while the max/min bending stress
acts on the top and bottom fibers of the beam at midspan. Click here to continue
with this example. |
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