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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 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.

Structural Analysis
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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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
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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