GATE ME 2024 Set 1 — Question 53
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Strength of Materials → Beams & Columns → Shear Force & Bending Moment
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Question
A horizontal beam of length 1200 mm is pinned at the left end and is resting on a roller at the other end as shown in the figure. A linearly varying distributed load is applied on the beam, increasing from zero at the pinned end to N/m at the roller end. The magnitude of maximum bending moment acting on the beam is _______ N.m. (round off to 1 decimal place)
Correct answer
9 to 9.5
Solution
Let m and N/m (load intensity at the roller end), so the load intensity at distance from the pin is .Reactions. Total load N, acting at from the pin.Bending moment.Location of maximum (shear force zero):Maximum moment:Rounded to one decimal place, N m.Answer: 9.2
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