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.

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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