Problem # 1 Determine the natural frequency of the beam-spring system shown below consisting of a weight of W = 70 lb attached to a horizontal cantilever beam through the coil spring k2. The cantilever beam has a thickness h = ½ in., a width b = 1-4 in., modulus of elasticity E = 30 x 100 psi, and length L = 13 in. The coil spring has a stiffness k2 = 100 lb/in. L=13 in. k2= 100 lb/in.
Problem # 1 Determine the natural frequency of the beam-spring system shown below consisting of a weight of W = 70 lb attached to a horizontal cantilever beam through the coil spring k2. The cantilever beam has a thickness h = ½ in., a width b = 1-4 in., modulus of elasticity E = 30 x 100 psi, and length L = 13 in. The coil spring has a stiffness k2 = 100 lb/in. L=13 in. k2= 100 lb/in.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![Problem # 1
Determine the natural frequency of the beam-spring system shown below consisting of a weight
of W = 70 lb attached to a horizontal cantilever beam through the coil spring k2. The cantilever
beam has a thickness h = ½ in., a width b = 1-4 in., modulus of elasticity E= 30 x 106 psi,
and length L 13 in. The coil spring has a stiffness k2 = 100 lb/in.
Problem # 2
Problem #3
L=13 in.
k₂= 3000 N/m
k₁= 10000 N/m
A mass of 30 kg is supported on two isolators as shown. Determine the undamped and damped
natural frequencies of the system, neglect the mass of the isolators.
m= 30 kg
2
k- 4900 N/m2
1
M = 30 kg
h
k2= 100 lb/in.
A 30 kg mass is resting on a spring of 4900 N/m and dashpot of 147 N-se/m in parallel. If a
velocity of 0.15 m/sec is applied to the mass at the rest position, what will be its displacement
from the equilibrium position at the end of the first second?
E
C₂= 100 N-sec/m
C₁ = 300 N-sec/m
C-147 N-sec/m](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F01daf1c5-b5e6-4b2e-88ff-a9ca7f31dd69%2F16cebc8d-8a2f-4e60-9bee-2b75abca9e64%2Fdgciffi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem # 1
Determine the natural frequency of the beam-spring system shown below consisting of a weight
of W = 70 lb attached to a horizontal cantilever beam through the coil spring k2. The cantilever
beam has a thickness h = ½ in., a width b = 1-4 in., modulus of elasticity E= 30 x 106 psi,
and length L 13 in. The coil spring has a stiffness k2 = 100 lb/in.
Problem # 2
Problem #3
L=13 in.
k₂= 3000 N/m
k₁= 10000 N/m
A mass of 30 kg is supported on two isolators as shown. Determine the undamped and damped
natural frequencies of the system, neglect the mass of the isolators.
m= 30 kg
2
k- 4900 N/m2
1
M = 30 kg
h
k2= 100 lb/in.
A 30 kg mass is resting on a spring of 4900 N/m and dashpot of 147 N-se/m in parallel. If a
velocity of 0.15 m/sec is applied to the mass at the rest position, what will be its displacement
from the equilibrium position at the end of the first second?
E
C₂= 100 N-sec/m
C₁ = 300 N-sec/m
C-147 N-sec/m
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