Answered: V = 0.6 m/s 3 m Figure 1: Cantilever…

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

An engine with a mass of 500 kg is dropped onto the end of a weightless cantilever bridge with a velocity of 0.6 m/s, as shown in Figure 1. The impact causes vibrations of the combined engine/cantilever bridge system, with the engine stuck onto the bridge. The bridge is made of steel with a modulus of elasticity of 200 x 109 N/m2, length 3 m, and moment of inertia 2 x 10–6 m4.

1.1. Draw the free body diagram of the cantilever bridge shown in Figure 1.

1.2. Neglect inertia of the bridge and calculate the response of the combined
engine/cantilever beam.

1.3. Calculate the displacement of the engine attached to the bridge 2 seconds after
impact.

V = 0,6 m/s
3 m
Figure 1: Cantilever bridge

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