Chapter 10, Problem 66AP

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Chapter
Section

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

# A 250-m-long bridge is improperly designed so that it cannot expand with temperature. It is made of concrete with α = 12 × 10−6 (°C)−1. (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 ΔT with its ends Firmly fixed is given by a αY ΔT. (c) If the maximum stress the bridge can withstand without crumbling is 2.0 × 107 Pa, will it crumble because of this temperature increase? Young’s modulus for concrete is about 2.0 × 1010 Pa.

(a)

To determine
The change in length.

Explanation

Given info:

The length of the bridge is 250 m.

The co-efficient of linear expansion is 12Ã—10âˆ’6/Î¿C .

The maximum change in temperature is 20Î¿C .

Formula to calculate the change in length is,

Î”L=Î±L0Î”T

• L0 is the length of the bridge.
• Î± is the co-efficient of linear expansion.
• Î”T is the change in temperature

(b)

To determine
The stress on the object.

(c)

To determine
The effect of the maximum stress applied.

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started