Deflection of Beams | 01 | Excellent Question - GATE Sol | Strength of Materials | ME/CE

A triangular-shaped cantilever beam of uniform-thickness is shown in the figure. The young’s modulus of the material of the beam is E. A concentrated load P is applied at the free end of the beam.

1. The area moment of inertia about the neutral axis of a cross-section at a distance x measured from the free end is
A. (bxt^3)/6l
B. (bxt^3)/12l
C. (bxt^3)/24l
D. (xt^3)/12l

2. The maximum deflection of the beam is ______
A. (24pl^3)/(Ebt^3 )
B. (12pl^3)/(Ebt^3 )
C. (8pl^3)/(Ebt^3 )
D. (6pl^3)/(Ebt^3 )

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