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
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffa934ae6-890c-4da2-9c86-703d34e7c487%2Fc72bef2f-7910-4ba6-b74d-0667cb7c461d%2F8xkvlb_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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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