Civil Engineering > GATE 2014 SET-1 > Differential Equations
If the following equation establishes equilibrium in slightly bent position, the mid-span deflection of a member shown in the figure is
d2y/dx2 + (P/EI)y = 0
If a is amplitude constant for y, then
A
y = (1/P)(1 - a cos(2πx/L))
B
y = (1/P)(1 - a sin(2πx/L))
C
y = a sin(nπx/L)
D
y = a cos(nπx/L)

Correct : y = a sin(nπx/l)

Similar Questions

The solution at x = 1, t = 1 of the partial differential equation ∂2u/∂x2 = 25 ∂2u/∂t2 subject to initial conditions of u(0) = 3x and ∂u/∂t(0) = 3 is _______.
#377 MCQ
The solution (up to three decimal places) at x = 1 of the differential equation d2y/dx2 + 2 dy/dx + y = 0 subject to boundary conditions y(0) = 1 and dy/dx(0) =...
#378 Fill in the Blanks
The solution of the equation x (dy/dx) + y = 0 passing through the point (1, 1) is
#402 MCQ

Related Topics

No tags found

Unique Visitor Count

Total Unique Visitors

Loading......