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Mechanics of Materials (MindTap Co...

9th Edition
Barry J. Goodno + 1 other
ISBN: 9781337093347

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BuyFindarrow_forward

Mechanics of Materials (MindTap Co...

9th Edition
Barry J. Goodno + 1 other
ISBN: 9781337093347
Textbook Problem

A steel rod. of 15-mm diameter is held snugly (but without am1 initial stresses) between rigid walls by the arrangement shown in the figure part a. (For the steel rod, use a = 12 X KT6fX and E = 200 GPa.)

(a) Calculate the temperature drop AT (degrees Celsius) al which the average shear stress in the 12-mm diameter bolt becomes 45 MPa. Also, what is the normal stress in the rod?

(b) What are the average bearing stresses in the bolt and clevis al A and between the washer {dw= 20 mm) and wall (r = IS mm) at £?

(c) 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 dhof each bolt if the temperature drop is A J" = 38°C and the allowable bolt stress is 90 MPa?

  

(a)

To determine

The temperature drop and normal stress in the rod.

Explanation

Given Information:

  E=200GΡa

  α=12×106/°C

  dr=15mm

  db=12mm

  dw=20mm

  twall=18mm

  tc=10mm

  ΔT=38°C

  τb=45ΜΡa

Rod force P=α(ΔT)E×π4dr2

As Bolt is in double shear, shear stress in given by:

  τ=</

(b)

To determine

The average bearing stress in the bolt and clevis at A and between the washer and the wall.

(c)

To determine

The diameter db of each bolt if temperature drop and maximum stress is given.

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