A uniform bar of length L, cross-sectional area A, and mass density p is suspended vertically from one end. (a) Show that the elongation of the bar is 6 = pgL2/(2E) where g is the gravitational acceleration and E is the modulus of elasticity. (b) If the mass of the bar is M, show that 6 = MgL/(2EA)

A uniform bar of length L, cross-sectional area A, and mass density p is suspended vertically from one end. (a) Show that the elongation of the bar is 6 = pgL2/(2E) where g is the gravitational acceleration and E is the modulus of elasticity. (b) If the mass of the bar is M, show that 6 = MgL/(2EA)

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)

5th Edition

ISBN:9781305084766

Author:Saeed Moaveni

Publisher:Saeed Moaveni

Chapter9: Mass And Mass-related Variables In Engineering

Section: Chapter Questions

Problem 4P

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Mechanics of deformable bodies -solve with complete solution

Question 1
A uniform bar of length L, cross-sectional area A, and mass density p is suspended vertically from one end. (a) Show
that the elongation of the bar is 6 = pgL?/(2E) where g is the gravitational acceleration and E is the modulus of
elasticity. (b) If the mass of the bar is M, show that 6 = MgL/(2EA)

Branch of science that deals with the stationary and moving bodies under the influence of forces.

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