GATE 2016 ME (ME1) – Question 44
A simply-supported beam of length 3L is subjected to the loading shown in the figure. It is given that P = 1 N, L = 1 m and Young’s modulus E = 200 GPa. The cross-section is a square with dimension 10 mm × 10 mm. The bending stress (in Pa) at the point A located at the top surface of the beam at a distance of 1.5L from the left end is _____________ (Indicate compressive stress by a negative sign and tensile stress by a positive sign.)
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Correct answer: -1 to 1
Explanation
The applied forces at x=L and2L are equal and opposite. Global moments give right reaction P/3 and left reaction−P/3. At x=1.5L, M=(−P/3)(1.5L)+P(0.5L)=0. Bending stress is therefore **0Pa** regardless of the supplied section modulus and E. Opposite force directions must be retained.