A steel rod of 15- mm diameter is held snugly (but without any initial stresses) between rigid walls by the arrangement shown in the figure part (a). (For the steel rod, use α = 12 x 10-6/˚C and E = 200 GPa.)Calculate the temperature drop ΔT (degrees Celsius) at which the average shear stress in the 12 – mm diameter bolt becomes 45 MPa. Also, what is the normal stress in the rod?What are the average bearing stresses in the bolt and clevis at A and between the washer (dW = 20mm) and wall (t = 18 mm) at B?If the connection to the wall at B is changed to an end plate with two bolts (see figure part b), what is the required diameter db of each bolt if the temperature drop is ΔT = 38˚C and the allowable bolt stress is 90 MPa? 12-mm diameter boltClevis,1 = 10 mm12-mm diameter boltClevis,t = 10 mmATAT15 mm(a)15 mm(b)BWasher,dw = 20 mm18 mmBolt and washer(dy, dw)P00Mountingplate (1)

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Answered: A steel rod of 15- mm diameter is held…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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A steel rod of 15- mm diameter is held snugly (but without any initial stresses) between rigid walls by the arrangement shown in the figure part (a). (For the steel rod, use α = 12 x 10^-6/˚C and E = 200 GPa.)

Calculate the temperature drop ΔT (degrees Celsius) at which the average shear stress in the 12 – mm diameter bolt becomes 45 MPa. Also, what is the normal stress in the rod?
What are the average bearing stresses in the bolt and clevis at A and between the washer (d_W = 20mm) and wall (t = 18 mm) at B?
If the connection to the wall at B is changed to an end plate with two bolts (see figure part b), what is the required diameter d_b of each bolt if the temperature drop is ΔT = 38˚C and the allowable bolt stress is 90 MPa?

12-mm diameter bolt
Clevis,
1 = 10 mm
12-mm diameter bolt
Clevis,
t = 10 mm
AT
AT
15 mm
(a)
15 mm
(b)
B
Washer,
dw = 20 mm
18 mm
Bolt and washer
(dy, dw)
P00
Mounting
plate (1)

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