You place a point force at the tip of the beam in the +Y-direction and displace the cantilever tip by 2 microns. At time t=0, you remove the force from the beam. a. What is the displacement at the beam tip as a function of time? Make sure to solve for all of the constants and write a final equation allowing one to plug in a time and get out the tip displacement. b. What is the displacement at the following times, t=0, t=», t=1.868 microseconds, t=3.736 microseconds, t=5.6046 microseconds?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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You place a point force at the tip of the beam in the +Y-direction and displace the
cantilever tip by 2 microns. At time t=0, you remove the force from the beam.
a. What is the displacement at the beam tip as a function of time? Make sure to solve for
all of the constants and write a final equation allowing one to plug in a time and get out
the tip displacement.
b. What is the displacement at the following times, t=0, t=∞, t=1.868 microseconds,
t=3.736 microseconds, t=5.6046 microseconds?
Transcribed Image Text:You place a point force at the tip of the beam in the +Y-direction and displace the cantilever tip by 2 microns. At time t=0, you remove the force from the beam. a. What is the displacement at the beam tip as a function of time? Make sure to solve for all of the constants and write a final equation allowing one to plug in a time and get out the tip displacement. b. What is the displacement at the following times, t=0, t=∞, t=1.868 microseconds, t=3.736 microseconds, t=5.6046 microseconds?
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