Question

A steel strut near a ship's furnace is 2.05 m long, with a mass of 1.41 kg and a cross-sectional area of 1.00 10-4 m2. During operation of the furnace, the strut absorbs thermal energy in a net amount of 2.50 105 J.

(a) Find the change in temperature of the strut.

°C

(b) Find the increase in length of the strut.

m

(c) If the strut is not allowed to expand because it's bolted at each end, find the compressional stress developed in the strut.

Pa

Answer 1

Length L 2.05 m Mass m-1.41 Kg Crossecti onal area A 10* m Thermal energy Q2.5x 105 J Specifi heat of steel S 450 J/Kgc Coeffi cient of linear ex apns! on α 1 3x 1 0.0 Young 'smodulus of steel Y = 180×109 Pa 6 0-1 C. Heat energy Q m × s xat Rise in temperature Δt= ms = (141) (450 ) Increase in length AL-Lat (205)(13x10394) 00105 m Compressional stress-Yan-1180x 109)(13×10°)(394) = 9.21×108 Pa Qー25×10 3940