A cylindrical bronze sleeve (2) is held in compression against a rigid machine wall by a high-strength steelbolt (1), as shown in the figure. The steel [E = 200 GPa; a = 11.7 x 106/°C] bolt has a diameter of 29 mm.The bronze [E = 100 GPa; a = 22.0 x 106/°C] sleeve has an outside diameter of 74 mm, a wall thicknessof 8 mm, and a length of L = 390 mm. The end of the sleeve is capped by a rigid washer with a thicknessof t = 5 mm. At an initial temperature of T₁ = 14°C, the nut is hand-tightened on the bolt until the bolt,washers, and sleeve are just snug, meaning that all slack has been removed from the assembly, but no stresshas yet been induced. If the assembly is heated to T2 = 59°C, calculate the normal stress (positive if tensileand negative if compressive) in the bronze sleeve. Answer in MPa rounded-off to 2 decimal places.

Step 1: Determine the coefficient of thermal expansion (α) of the steel bolt α = 11.7 x 10-6/°C Step…

A cylindrical bronze sleeve (2) is held in compression against a rigid machine wall by a high-strength st olt (1), as shown in the figure. The steel [E = 200 GPa; a = 11.7 x 106/°C] bolt has a diameter of 29 m The bronze [E = 100 GPa; a = 22.0 x 10-6/°C] sleeve has an outside diameter of 74 mm, a wall thickn f 8 mm, and a length of L = 390 mm. The end of the sleeve is capped by a rigid washer with a thickn ft 5 mm. At an initial temperature of T₁ = 14°C, the nut is hand-tightened on the bolt until the b washers, and sleeve are just snug, meaning that all slack has been removed from the assembly, but no str as yet been induced. If the assembly is heated to Ta 59°C calculate the normal stress (positive if ton =

A cylindrical bronze sleeve (2) is held in compression against a rigid machine wall by a high-strength st olt (1), as shown in the figure. The steel [E = 200 GPa; a = 11.7 x 106/°C] bolt has a diameter of 29 m The bronze [E = 100 GPa; a = 22.0 x 10-6/°C] sleeve has an outside diameter of 74 mm, a wall thickn f 8 mm, and a length of L = 390 mm. The end of the sleeve is capped by a rigid washer with a thickn ft 5 mm. At an initial temperature of T₁ = 14°C, the nut is hand-tightened on the bolt until the b washers, and sleeve are just snug, meaning that all slack has been removed from the assembly, but no str as yet been induced. If the assembly is heated to Ta 59°C calculate the normal stress (positive if ton =

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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Concept explainers

Dependence on mechanical properties

The mechanical properties of materials are those structures that include the reaction to the load used. Metal switching features determine the scope of the usefulness of the content and establish the expected service life. Machine structures are also used to help distinguish and identify material objects. The most common mechanical properties considered are strength, ductility, stiffness, impact resistance, and resilience to fractures.

Question

A cylindrical bronze sleeve (2) is held in compression against a rigid machine wall by a high-strength steel
bolt (1), as shown in the figure. The steel [E = 200 GPa; a = 11.7 x 106/°C] bolt has a diameter of 29 mm.
The bronze [E = 100 GPa; a = 22.0 x 106/°C] sleeve has an outside diameter of 74 mm, a wall thickness
of 8 mm, and a length of L = 390 mm. The end of the sleeve is capped by a rigid washer with a thickness
of t = 5 mm. At an initial temperature of T₁ = 14°C, the nut is hand-tightened on the bolt until the bolt,
washers, and sleeve are just snug, meaning that all slack has been removed from the assembly, but no stress
has yet been induced. If the assembly is heated to T2 = 59°C, calculate the normal stress (positive if tensile
and negative if compressive) in the bronze sleeve. Answer in MPa rounded-off to 2 decimal places.

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