a) L Question 7: A massless beam ABC of span L and con- stant flexural rigidity EI is simply supported at A and C, and it supports a mass concentrated at the midspan point B, as shown in Figure a). The natural frequency of this В El A system is expected to be 25 rad/s. However, the measured b) natural circular frequency is found to be only 23 rad/s, the lower value being ascribed to flexible supports at A and C, k Figure b). Calculate the stiffness k of the beam support k bearings as a fraction of the beam stiffness.
a) L Question 7: A massless beam ABC of span L and con- stant flexural rigidity EI is simply supported at A and C, and it supports a mass concentrated at the midspan point B, as shown in Figure a). The natural frequency of this В El A system is expected to be 25 rad/s. However, the measured b) natural circular frequency is found to be only 23 rad/s, the lower value being ascribed to flexible supports at A and C, k Figure b). Calculate the stiffness k of the beam support k bearings as a fraction of the beam stiffness.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![a)
L
Question 7: A massless beam ABC of span L and con-
stant flexural rigidity EI is simply supported at A and C,
and it supports a mass concentrated at the midspan point
B, as shown in Figure a). The natural frequency of this
В
A.
El
m
system is expected to be 25 rad/s. However, the measured
natural circular frequency is found to be only 23 rad/s, the
b)
lower value being ascribed to flexible supports at A and C,
k
Figure b). Calculate the stiffness k of the beam support
k
bearings as a fraction of the beam stiffness.
Lww](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F99d78dee-8ed8-4e45-b177-a2bdd05782d6%2F8e20bf1d-3e01-4d4c-960d-e9a4a640efab%2Fl7zpf6k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:a)
L
Question 7: A massless beam ABC of span L and con-
stant flexural rigidity EI is simply supported at A and C,
and it supports a mass concentrated at the midspan point
B, as shown in Figure a). The natural frequency of this
В
A.
El
m
system is expected to be 25 rad/s. However, the measured
natural circular frequency is found to be only 23 rad/s, the
b)
lower value being ascribed to flexible supports at A and C,
k
Figure b). Calculate the stiffness k of the beam support
k
bearings as a fraction of the beam stiffness.
Lww
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