A 250-m-long bridge is improperly designed so that it cannotexpand with temperature. It is made of concrete with a = 12 ×10-° (°C)~'. (a) Assuming the maximum change in temperatureat the site is expected to be 20°C, find the change in length thespan would undergo if it were free to expand. (b) Show that thestress on an object with Young's modulus Y when raised by ATwith its ends firmly fixed is given by «YAT. (c) If the maximumstress the bridge can withstand without crumbling is 2.0 x 107 Pa,will it crumble because of this temperature increase? Young'smodulus for concrete is about 2.0 × 101º Pa.

Answered: A 250-m-long bridge is improperly…

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter1: Temperature And Heat

Section: Chapter Questions

Problem 83P: To help prevent frost damage, 4.00 kg of water at 0 is sprayed onto a fruit tree. (a) How much heat...

See similar textbooks

Similar questions

Check Your Understanding Two objects A and B have the same dimensions identically. A is of a material with a higher thermal expansion coefficient B. If the objects are heated identically, will A feel a greater Stress than B?
If you place 0 ice into 0 water in an insulated container, what will the net result be? Will there be less ice and more liquid water, or more ice and less liquid water, or will the amounts stay the same?
Check Your Understanding How does the rate of heat transfer by conduction change when all spatial dimensions are doubled?
Compare the rate of heat conduction through a 13.0-cm-thick wall that has an area of 10.0 m2 and a thermal conductivity that of glass wool with the rate of heat conduction through a 0.750-cm-thick window that has an area of 2.00 m2, assuming the same temperature difference across each.
An engineer wants to design a structure in which the difference in length between a steel beam and an aluminum beam remains at 0.500 m regardless of temperature, for ordinary temperatures. What must the lengths of the beams be?
If the pressure and volume of a system are given, is the temperature always uniquely determined?
When an air bubble rises from the bottom to the top of a freshwater lake, its volume increases by 80%. If the temperatures at the bottom and the top of the lake are 4.0 and 10 , respectively, how deep is the lake? `
Show that the coefficient of area expansion, (∆A/A)/∆T, of a rectangular sheet of the solid is twice its linear expansivity, α1.
Railway tracks made of 1025 Steel are to be laid at a time of year whenthe temperature averages 4 °C. If a joint space of 5.4 mm is allowedbetween the standard 11.9 m length, what is the hottest temperature thatcan be tolerated without the introduction of thermal stresses? Take thecoefficient of linear expansivity of the steel as 12 x 10-6 K-1.
Find the coefficient oflinear expansion of a 2.0meter long object with atemperature of 30 Celsiusand which undergoes anexpansion of 10 mm whenexposed to a temperatureof 95 Celsius
How much stress is created in a steel beam if its temperature changes from –15 °C to 40 °C but it cannot expand? For steel, the Young’s modulus Y = 210 × 109 N/m2 from Stress, Strain, and Elastic Modulus .
An ideal air conditioner keeps the temperature inside a roomat 21°C when the outside temperature is 32°C. If 4.8 kWof power enters a room through the windows in the form ofdirect radiation from the Sun, how much electrical powerwould be saved if the windows were shaded so only 500 Wenters?

SEE MORE QUESTIONS

Recommended textbooks for you

University Physics Volume 2

Physics

ISBN:

9781938168161

Author:

OpenStax

Publisher:

OpenStax

University Physics Volume 2

Physics

ISBN:

9781938168161

Author:

OpenStax

Publisher:

OpenStax

SEE MORE TEXTBOOKS