A 250-m-long bridge is improperly designed so that it cannot expand with temperature. It is made of concrete with a = 12 × 10-° (°C)~'. (a) Assuming the maximum change in temperature at the site is expected to be 20°C, find the change in length the span would undergo if it were free to expand. (b) Show that the stress on an object with Young's modulus Y when raised by AT with its ends firmly fixed is given by «YAT. (c) If the maximum stress the bridge can withstand without crumbling is 2.0 x 107 Pa, will it crumble because of this temperature increase? Young's modulus for concrete is about 2.0 × 101º Pa.

A 250-m-long bridge is improperly designed so that it cannot expand with temperature. It is made of concrete with a = 12 × 10-° (°C)~'. (a) Assuming the maximum change in temperature at the site is expected to be 20°C, find the change in length the span would undergo if it were free to expand. (b) Show that the stress on an object with Young's modulus Y when raised by AT with its ends firmly fixed is given by «YAT. (c) If the maximum stress the bridge can withstand without crumbling is 2.0 x 107 Pa, will it crumble because of this temperature increase? Young's modulus for concrete is about 2.0 × 101º Pa.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

A 250-m-long bridge is improperly designed so that it cannot
expand with temperature. It is made of concrete with a = 12 ×
10-° (°C)~'. (a) Assuming the maximum change in temperature
at the site is expected to be 20°C, find the change in length the
span would undergo if it were free to expand. (b) Show that the
stress on an object with Young's modulus Y when raised by AT
with its ends firmly fixed is given by «YAT. (c) If the maximum
stress the bridge can withstand without crumbling is 2.0 x 107 Pa,
will it crumble because of this temperature increase? Young's
modulus for concrete is about 2.0 × 101º Pa.

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