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GATE-Civil-Engg-2018-->View question

The maximum bending stress at the fixed end of the cantilever is (GATE-CIVIL-Engg-2018)

A cantilever beam of length 2 m with a square section of side length 0.1 m is loaded
vertically at the free end. The vertical displacement at the free end is 5 mm. The beam is
made of steel with Young’s modulus of 2.0×10^11 N/m^2. The maximum bending stress at the
fixed end of the cantilever is
(A) 20.0 MPa (B) 37.5 MPa (C) 60.0 MPa (D) 75.0 MPa

Asked On2019-04-11 14:05:59 by:naikaumprakash

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Ans. (B) 
Given : 
Length of cantilever beam =2m = 2000 mm 
 Square section of side =0.1 m=100mm 
 Vertical displacement at free end = 5mm 
 Young’s modulus, 11 2 5 2 5 E MPa    2 10 N/m 2 10 N/mm 2 10 
To find : Maximum bending stress at fixed end of cantilever =?  
On solving, P  3125 N Maximum bending moment, M   P l  3125 2   6250 N
Maximum bending stress at free and, 

Answerd on:2019-06-07 Answerd By:Jaynil-Gaglani


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