Uniform shaft is fixed at one end and free in otherend, if(0,0)(1,0)TE 1a²0a20 < x < 1,t > 0at?дө0(0, t) = 0,O at t> 0,x = 1дхдөӨ (х, 0) — х,0 at t = 0,0 < x < 1axThe angular displacement (O) ,as a function of xand t, is

Given data ∂2θ∂t2=a2∂2θ∂x2 By method of separation of symbols supposed θ=T.xT is a function of tx…

Uniform shaft is fixed at one end and free in other end, if (0,0) (1,0) E 1 a20 q². dx² · 0 < x < 1, t> 0 дө e(0, t) = 0, 0 at t> 0, x = 1 дө O(x,0) = x , O at t = 0, 0 < x< 1 %3D The angular displacement (O) ,as a function of x and t, is

Uniform shaft is fixed at one end and free in other end, if (0,0) (1,0) E 1 a20 q². dx² · 0 < x < 1, t> 0 дө e(0, t) = 0, 0 at t> 0, x = 1 дө O(x,0) = x , O at t = 0, 0 < x< 1 %3D The angular displacement (O) ,as a function of x and t, is

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

Uniform shaft is fixed at one end and free in other
end, if
(0,0)
(1,0)
T
E 1
a²0
a2
0 < x < 1,
t > 0
at?
дө
0(0, t) = 0,
O at t> 0,
x = 1
дх
дө
Ө (х, 0) — х,
0 at t = 0,
0 < x < 1
ax
The angular displacement (O) ,as a function of x
and t, is

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