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GATE 2016 CE (CE1) – Question 41

Structural Analysis · Deflections of determinate beams, frames and trusses · 2 marks · MTA

A 3 m long simply supported beam of uniform cross section is subjected to a uniformly distributed load of w = 20 kN/m in the central 1 m as shown in the figure. If the flexural rigidity (EI) of the beam is 30 x 106 N-m2, the maximum slope (expressed in radians) of the deformed beam is

Diagram for GATE 2016 CE (CE1) question 41
  1. $0.681\times10^{-7}$
  2. $0.943\times10^{-7}$
  3. $4.310\times10^{-7}$
  4. $5.910\times10^{-7}$

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Show answer and explanation

Correct answer: MTA

Explanation

The final key awards **marks to all**. Each support reaction is10kN. The end-slope magnitude equals the area under M/EI from the support to midspan: the moment-area integral is10.8333kN·m², and EI=30000kN·m². This gives0.00036111rad; the printed choices have an incompatible order of magnitude. Preserve MTA rather than forcing a listed choice.