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Get Full Access to Mechanics Of Materials - 10 Edition - Chapter 3 - Problem 3-16
Get Full Access to Mechanics Of Materials - 10 Edition - Chapter 3 - Problem 3-16

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# Direct tension indicators are sometimes used instead of

ISBN: 9780134319650 134

## Solution for problem 3-16 Chapter 3

Mechanics of Materials | 10th Edition

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Problem 3-16

Direct tension indicators are sometimes used instead of torque wrenches to ensure that a bolt has a prescribed tension when used for connections. If a nut on the bolt is tightened so that the six 3-mm high heads of the indicator are strained 0.1 mm>mm, and leave a contact area on each head of 1.5 mm2, determine the tension in the bolt shank. The material has the stressstrain diagram shown.

Step-by-Step Solution:

Problem 3-16Direct tension indicators are sometimes used instead of torque wrenches to ensurethat a bolt has a prescribed tension when used for connections. If a nut on the bolt istightened so that the six 3-mm high heads of the indicator are strained 0.1 mm/mm,and leave a contact area on each head of 1.5 mm , determine the tension in the boltshank. The material has the stress strain diagram shown. Step-by-step solution Step 1 of 3Calculate the stress from the stress- strain diagram when strains is 0.1 mm/mm by use ofinterpolation for the linear line. @=0.1 @=0.0015 @=0.3 @=0.0015 = @0.1 @0.0015 @0.3 @0.0015Here, @=0.1 is stress of the when strain is 0.1 mm/mm @=0.3 is stress when strain is0.3 mm/mm, @=0.0015 is stress when strain is 0.0015 mm/mm, @0.1 is strain when strainis 0.1 mm/mm, @0.0015 is strain is 0.0015 mm/mm, and@0.3 is strain when strain is 0.3mm/mm.Substitute for @=0.1, 600 MPa for @=0.3 , 450 MPa for @=0.0015 , 0.1 mm/mm for @0.1, 0.0015 mm/mm for @0.0015 and 0.3 mm/mm for @0.3 .\n 450 0.1 0.0015 600 450 = 0.3 0.0015 = 499.497 MPa

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