Question

The bronze bar 3-m long with a cross-sectional area of 350 mm² is placed between two rigid walls. At a temperature of -20 ^oC, there is a gap Δ = 2.2 mm, as shown in the figure. Use α = 18 x 10^-6/ ^oC and E = 80 GPa. (A)What is the increase in temperature in ^oC at which the compressive stress in the bar will be 30 MPa? (B) What is the final temperature in ^oC at which the compressive stress in the bar will be 30 MPa. Use two decimal places. PLEASE ANSWER I REALY NEED HELP ON THIS

-3 m

Answer 1

@ TTTTTT 2mm 3m occurs Whenever change in temperature the elongation of have takes place The stress indured in the bar due to rise in teperature is given by r E [ Laat elongation stress indeed in bar where elasticity E = modulus of bour L llungth of x = thermal coefficient temperature elongation At : Mise in bar of

3000 x 18x106. 30 MPa 30 N/mm' E- 806la 80x10² N/mm² L=3m 3000 min x = 18x1067 2 st S = 2.2mm ElExot -D EL - ] 30 80X10 3000 3000 X18X106x At 30 x 3000 +2.2 [ 8 OXID3 DF Therefore, the 3.325 3000 x 18x106 At= 61.5740 the increase in temperature us 66.574°C -20°C + 61.574°C T = 41.574°C B Final temperature

(A) the increase in temperature at 30Mpa stress = 61.574 ⁰C

(B) the final temperature = 41.574 ⁰C

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