GATE Civil Engineering (CE) 2020 Shift 1 Solved Paper

Question : 48 of 65

Marks: +1, -0

Distributed load (s) of 50 kN/m may occupy any position(s) (either continuously or inpatches) on the girder PQRST as shown in the figure (not drawn to the scale)

The maximum negative (hogging) bending moment (in kN.m) that occurs at point R, is

56.25
150.00
93.75
22.50

Validate

Solution:

Maximum hogging moment at “R”
is possible if the UDL is loaded on over hang spans (PQ & ST)
Magnitude of Hogging moment

=50 ×\{-\;{1}/{2} × 1.5 × 0.6\}+50 ×\{-\;{1}/{2} × 1.5 × 0.9\}

=-(0.45+0.675) × 50

=-56.25 {kN}- {m}( {Hog})

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