Consider a cantilever beam shown in Figure 3 with the length I, flexural rigidity EI, and anexternal force Fosin0t. Ignore the mass and damping of the beam itself. The mass m is locatedin the center of the beam. 0=V6EI / ml(1) Calculate the natural frequency of the system;(2) Calculate the maximum dynamic displacement at the location of m.EImF,sinet1/21/2Figure 3

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Consider a cantilever beam shown in Figure 3 with the length 1, flexural rigidity EI, and an xtenal force Fosint. Ignore the mass and damping of the beam itself. The mass m is located n the center of the beam. 0=/6EI / ml³ 1) Calculate the natural frequency of the system; 2) Calculate the maximum dynamic displacement at the location of m. EI m Fosinet 1/2 1/2

Consider a cantilever beam shown in Figure 3 with the length 1, flexural rigidity EI, and an xtenal force Fosint. Ignore the mass and damping of the beam itself. The mass m is located n the center of the beam. 0=/6EI / ml³ 1) Calculate the natural frequency of the system; 2) Calculate the maximum dynamic displacement at the location of m. EI m Fosinet 1/2 1/2

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

Consider a cantilever beam shown in Figure 3 with the length I, flexural rigidity EI, and an
external force Fosin0t. Ignore the mass and damping of the beam itself. The mass m is located
in the center of the beam. 0=V6EI / ml
(1) Calculate the natural frequency of the system;
(2) Calculate the maximum dynamic displacement at the location of m.
EI
m
F,sinet
1/2
1/2
Figure 3

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