Aerospace Engineering > GATE 2014 > Stress Analysis
A cantilevered beam is subjected to a parabolic distribution of shear traction at the right edge while the top and bottom surfaces are traction free. To solve this problem, following Airy's stress function is proposed: φ=C1xy+C2xy3+C3x2y2+C4x3y. This is an admissible Airy's function that would satisfy the bi-harmonic equation as well as the boundary conditions if and only if
A
C1=0, C2=λ, C3=0, C4=λ/(3d22)
B
C1=λ, C3=0 C4=0, C2=λ/(3d2)
C
C1=0, C2=0, C3=λ
D
C1=λ, C2=-λ/(3d2), C3=0 C4=0

Correct : d

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