Question

Please show all work. Thank you!

2. An aluminium bolt (E = 10 Msi, d = 13.3 x 10 °F) of diameter d = 3/8" is initially stress free at "finger-tight" conditions. The pitch of the thread is p = 1/16", see Figure below. The bolt is turned 360° and cooled from room temperature (70° F) to 0° F. The stress in the bolt (in ksi) is approximately (10p) a) 5.2 b) 9.3 c) 60 d) 80 Thread 60° tum DLC CS Scanned with catastal?ler

Answer 1

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solution liven values E = 10Msi, d = 13.3x10-6/OF (diameter) d = 3" P = 1 Bolt torn 360° Room coded from 70°F to or The stres in the Bolt is approximately To find: - a. The stress in th Initial length is given in the problem = 12 inch Strain Induced due to the lightening 12x16 - 1208 110 - By cooling strain induce = dat - dast - 13. 33x10-6 x 70 22x10-6 x70 = 8,3314 x 10-4 Tontile strain By Tensile strain = due to deco Total strain Ooo Tem). Tensile strain By tightening Bolt - 611414 x 10-3

& Streis strain Induced in the Bolt due to that - to fell strain Induced & young Modulus = 601419 X 163 101000KS i - 61.34 ksi ~ 60ksi option 6 Hence, és correct.