Civil Engineering - Strength of Materials - Discussion
Discussion Forum : Strength of Materials - Section 1 (Q.No. 8)
8.
The deflection due to couple M at the free end of a cantilever length L is
Discussion:
11 comments Page 2 of 2.
MOUNIKA REDDY said:
1 decade ago
EI(d^2y/dx^2) = M.
(d^2y/dx^2) = M/EI.
dy/dx = (M/EI)*X+C1.
y = (M/2EI)X^2+C1X+C2.
AT X=0, Y=0 SO C2=0.
AT X=0, DY/DX=0 MEANS SLOPE ZERO, SO C1=0.
Y = (M/2EI)X^2 AT X = L.
Y = (M/2EI)L^2.
(d^2y/dx^2) = M/EI.
dy/dx = (M/EI)*X+C1.
y = (M/2EI)X^2+C1X+C2.
AT X=0, Y=0 SO C2=0.
AT X=0, DY/DX=0 MEANS SLOPE ZERO, SO C1=0.
Y = (M/2EI)X^2 AT X = L.
Y = (M/2EI)L^2.
(1)
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