A steel water pipe, of inside diameter 25 mm and outside diameter 30 mm, is rigidly attached at two points along its length to a concrete wall. The force exerted on the pipe by the fastenings is zero on a hot day, when both pipe and wall are at 30°C. On a cold day, when the wall is at 10°C and the pipe has been heated by water passing through it, the compressive force exerted on the pipe is (30 kN.) Calculate the temperature of the pipe. Assume that stresses due to the pipe do not affect the contraction of the wall. Coefficient of linear expansion for concrete = 6.10 °C. Coefficient of linear expansion for steel = 1,1.10-5 °C-1 Young's modulus for steel = 2.10" N.m².

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A steel water pipe, of inside diameter 25 mm and outside diameter 30 mm, is
rigidly attached at two points along its length to a concrete wall. The force
exerted on the pipe by the fastenings is zero on a hot day, when both pipe and
wall are at 30°C. On a cold day, when the wall is at 10°C and the pipe has
been heated by water passing through it, the compressive force exerted on the
pipe is (30 kN.) Calculate the temperature of the pipe.
Assume that stresses due to the pipe do not affect the contraction of the wall.
Coefficient of linear expansion for concrete = 6.10 °C.
Coefficient of linear expansion for steel = 1,1.10-5 °C-1
Young's modulus for steel = 2.10" N.m².
Transcribed Image Text:A steel water pipe, of inside diameter 25 mm and outside diameter 30 mm, is rigidly attached at two points along its length to a concrete wall. The force exerted on the pipe by the fastenings is zero on a hot day, when both pipe and wall are at 30°C. On a cold day, when the wall is at 10°C and the pipe has been heated by water passing through it, the compressive force exerted on the pipe is (30 kN.) Calculate the temperature of the pipe. Assume that stresses due to the pipe do not affect the contraction of the wall. Coefficient of linear expansion for concrete = 6.10 °C. Coefficient of linear expansion for steel = 1,1.10-5 °C-1 Young's modulus for steel = 2.10" N.m².
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