   Chapter 10, Problem 63AP

Chapter
Section
Textbook Problem

Two concrete spans of a 250-m-long bridge are placed end to end so that no room is allowed for expansion (Fig. P10.63a). If the temperature increases by 20.0°C, what is the height y to which the spans rise when they buckle (Fig. P10.63b)? To determine
The height y.

Explanation

Given info: The length of the bridge is 250 m. The increase in temperature ( ΔT ) is

20οC . The co-efficient of linear expansion ( α ) of concrete is 12×106/οC .

Formula to calculate the final length is,

L=L0[1+αΔT] (I)

• L0 is the original length which is equal to half the length of the bridge.

The original length is,

L0=250m2=125m

The schematic diagram is given below.

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