3. Consider a stick of total mass M and length L with uniform mass density in a constant gravitational field acting in the vertical direction. This stick sits horizontally on three supports as shown in the figure below and remains at rest. Find expressions for the three forces from the supports; is it possible to uniquely determine all three support forces in terms of M, g, and/or the length quantities drawn in the figure? Either way, based on the expressions you find, do you obtain expected results in the case where the middle support is removed? d₁ d2

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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3.
Consider a stick of total mass M and length L with uniform mass density in
a constant gravitational field acting in the vertical direction. This stick sits horizontally
on three supports as shown in the figure below and remains at rest. Find expressions for
the three forces from the supports; is it possible to uniquely determine all three support
forces in terms of M, g, and/or the length quantities drawn in the figure? Either way,
based on the expressions you find, do you obtain expected results in the case where the
middle support is removed?
d₁
d₂
Transcribed Image Text:3. Consider a stick of total mass M and length L with uniform mass density in a constant gravitational field acting in the vertical direction. This stick sits horizontally on three supports as shown in the figure below and remains at rest. Find expressions for the three forces from the supports; is it possible to uniquely determine all three support forces in terms of M, g, and/or the length quantities drawn in the figure? Either way, based on the expressions you find, do you obtain expected results in the case where the middle support is removed? d₁ d₂
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