GATE ME 2016 Set 1 — Question 44
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Strength of Materials → Beams & Columns → Bending & Shear Stresses
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Question
A simply-supported beam of length is subjected to the loading shown in the figure.
It is given that N, m and Young’s modulus GPa. The cross-section is a square with dimension . The bending stress (in Pa) at the point A located at the top surface of the beam at a distance of from the left end is _____________(Indicate compressive stress by a negative sign and tensile stress by a positive sign.)
Correct answer
1 to 1
Solution
1.Identify the reactions: Let be the reaction at the left support and at the right support.
2.From the figure, a load acts upwards at and another load acts downwards at .
3.Equilibrium of forces: .
4.Moment equilibrium about the left support: .
5.Thus, .
6.Bending moment at : .
7.Bending stress . Since the bending moment at , the bending stress Pa.
8.The answer is 0, which falls within the range .
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