1. In the lecture, the key idea about elasticity is that many solid objects behave like a spring when stressed. Just like solid objects, realistic springs do not obey Hooke's law forever. If pulled on hard enough, they reach a point of permanent deformation. Ultimate strength Yield strength Stress (F/A) 0 Rupture Range of permanent deformation Linear (elastic) range Strain (AL/L) We noted that Hooke's law for a force due to a spring F₁(x) = −k(x − xo) where xo is the equilibrium position of the spring, is a conservative force. Is the realistic spring force (one that looks like the figure above) a conser- vative force? Explain.
1. In the lecture, the key idea about elasticity is that many solid objects behave like a spring when stressed. Just like solid objects, realistic springs do not obey Hooke's law forever. If pulled on hard enough, they reach a point of permanent deformation. Ultimate strength Yield strength Stress (F/A) 0 Rupture Range of permanent deformation Linear (elastic) range Strain (AL/L) We noted that Hooke's law for a force due to a spring F₁(x) = −k(x − xo) where xo is the equilibrium position of the spring, is a conservative force. Is the realistic spring force (one that looks like the figure above) a conser- vative force? Explain.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:1. In the lecture, the key idea about elasticity is that many solid objects.
behave like a spring when stressed. Just like solid objects, realistic springs
do not obey Hooke's law forever. If pulled on hard enough, they reach a
point of permanent deformation.
Ultimate
strength
Yield
strength
Stress (F/A)
0
Rupture
Range of permanent
deformation
Linear (elastic) range
Strain (AL/L)
We noted that Hooke's law for a force due to a spring
Fs(x)
-k(x-xo)
where to is the equilibrium position of the spring, is a conservative force.
Is the realistic spring force (one that looks like the figure above) a conser-
vative force? Explain.
=
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