GATE ME 2014 Set 3 — Question 42
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Strength of Materials → Beams & Columns → Bending & Shear Stresses
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Question
Consider a simply supported beam of length, , with a rectangular cross-section of depth, , and width, . The beam carries a vertical point load, , at its mid-point. The ratio of the maximum shear stress to the maximum bending stress in the beam is
Correct answer
(D) 0.01
Solution
For a simply supported beam with a point load at the mid-point:
Length
Width
Depth Maximum Bending Moment
Maximum Bending Stress Maximum Shear Force
Maximum Shear Stress for a rectangular section Ratio
Length
Width
Depth Maximum Bending Moment
Maximum Bending Stress Maximum Shear Force
Maximum Shear Stress for a rectangular section Ratio
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