Answered: For the cantilever beam shown below,…

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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Question

For the cantilever beam shown below, assume the beam to be approximately massless with the
effects of mass modeled using the two lumped masses below. Assume that axial and shear
deformations can be neglected. Formulate the stiffness matrix k and the mass matrix m for the
system that would be used to calculate the displacements and rotations at the lumped masses
due to the applied loads p1(t) and p2(2).

2L/3
P₁(t)
mL/2
L/3
P₂ (t)
mL/6
El constant

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