For the undamped structural frame shown in Figure Q1a, determine the equation of motion for free oscillations in the horizontal direction. Assume that the horizontal member is infinitely rigid with respect to columns and that the initial conditions are non-zero. Design data: Total mass: 13600 kg E=210 GPa 1₁ = 3.45 x 107 mm4 12 I₂ = 7.08 x 107 mm4

For the undamped structural frame shown in Figure Q1a, determine the equation of motion for free oscillations in the horizontal direction. Assume that the horizontal member is infinitely rigid with respect to columns and that the initial conditions are non-zero. Design data: Total mass: 13600 kg E=210 GPa 1₁ = 3.45 x 107 mm4 12 I₂ = 7.08 x 107 mm4

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

Mehuhu

For the undamped structural frame shown in Figure Q1a, determine
the equation of motion for free oscillations in the horizontal direction.
Assume that the horizontal member is infinitely rigid with respect to
columns and that the initial conditions are non-zero.
Design data:
Total mass: 13600 kg
E=210 GPa
I₁ = 3.45 x 107 mm4
I₂ = 7.08 x 107 mm
4.6m I₁
Į₂
m=13600kg
I₁
6.1m
Figure Q1a
Determine the undamped natural frequency of vibration [in Hz] for the
equation of motion developed under (a)

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