Critical Load Analysis of a Rigid Bar with Two Spring Supports, Exercises of Engineering

A problem from a unified engineering course in spring 2004, where students are asked to find the critical value of the load p that will cause the collapse of a rigid bar with two spring supports of stiffness k, oriented at an angle q to the vertical. The bar is initially held vertical and pinned at one end.

Typology: Exercises

2011/2012

Uploaded on 07/22/2012

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Unified Engineering Spring 2004
Problem M12
The diagram below shows a rigid bar, length L, pinned at one end, which is
initially held vertical. The bar is stabilized by the pair of linear springs, stiffness
k, orientated at the angle q to the vertical. Find the critical value of the load P
which will cause collapse of this assembly. Hint: Consider the equilibrium of
the bar at a small displacement from the equilibrium position shown.
P
q
q
k
k
L
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Unified Engineering Spring 2004

Problem M The diagram below shows a rigid bar, length L, pinned at one end, which is initially held vertical. The bar is stabilized by the pair of linear springs, stiffness k, orientated at the angle q to the vertical. Find the critical value of the load P which will cause collapse of this assembly. Hint: Consider the equilibrium of the bar at a small displacement from the equilibrium position shown.

P

q q k (^) k

L

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