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Mechanical Engineering Problems

This document outlines 7 problems related to mechanical engineering concepts like torsion, springs, and material connections. Problem 1 involves determining the maximum load on a steel shaft given limits on shear stress and twist. Problem 2 calculates the force needed to produce a displacement on a lever connected to a steel shaft. Problem 3 finds the maximum torque on a composite steel shaft without exceeding stress or twist limits. Problem 4 computes the load limit before exceeding the shear stress in rivets connecting a plate. Problems 5-6 determine properties of helical springs like number of turns or maximum load given stress limits. Problem 7 involves calculating uniform loads on a steel block to produce specified deformations under triaxial loading conditions.

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2K views3 pages

Mechanical Engineering Problems

This document outlines 7 problems related to mechanical engineering concepts like torsion, springs, and material connections. Problem 1 involves determining the maximum load on a steel shaft given limits on shear stress and twist. Problem 2 calculates the force needed to produce a displacement on a lever connected to a steel shaft. Problem 3 finds the maximum torque on a composite steel shaft without exceeding stress or twist limits. Problem 4 computes the load limit before exceeding the shear stress in rivets connecting a plate. Problems 5-6 determine properties of helical springs like number of turns or maximum load given stress limits. Problem 7 involves calculating uniform loads on a steel block to produce specified deformations under triaxial loading conditions.

Uploaded by

jpb111
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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WORKOUT NO.

3
POISSONS RATIO, TORSION, HELICAL SPRINGS, ECCENTRICALLY RIVETED CONNECTIONS
1. Two forces, each of magnitude P, are applied to the wrench. The diameter of the steel shaft AB
is 15 mm. Determine the largest allowable value of P if the shear stress in the shaft is not to
exceed 120 MPa and its angle of twist is limited to 5. Use G = 80 GPa for steel.



2. The 1.25 in. diameter steel shaft BC is built into the rigid wall at C and supported by a smooth
bearing at B. The lever AB is welded to the end of the shaft. Determine the force P that will
produce a 2-in. vertical displacement of end A of the lever. What is the corresponding maximum
shear stress in the shaft? Use G = 12 10
6
psi for steel, neglect deformation of the lever.



3. The steel shaft is formed by attaching a hollow shaft to a solid shaft. Determine the maximum
torque T that can be applied to the ends of the shaft without exceeding a shear stress of 70 MPa
or an angle of twist of 2.5 in the 3.5 m length. Use G = 83 GPa for steel.



4. The plate shown is fastened to the fixed member by five 10-mm-diameter rivets. Compute the
value of the loads P so that the average shearing stress in any rivet does not exceed 70 MPa.



5. A helical spring is fabricated by wrapping wire 3/4 in. in diameter around a forming cylinder 8 in.
in diameter. Compute the number of turns required to permit an elongation of 4 in. without
exceeding a shearing stress of 18 ksi.

6. A rigid bar, pinned at O, is supported by two identical springs as shown. Each spring consists of
20 turns of 3/4-in-diameter wire having a mean diameter of 6 in. Determine the maximum load
W that may be supported if the shearing stress in the springs is limited to 20 ksi.


7. A rectangular steel block is 3 inches long in the x direction, 2 inches long in the y direction, and 4
inches long in the z direction. The block is subjected to a triaxial loading of three uniformly
distributed forces as follows: 48 kips tension in the x direction, 60 kips compression in the y
direction, and 54 kips tension in the z direction. If = 0.30 and E = 29 10
6
psi, determine the
single uniformly distributed load in the x direction that would produce the same deformation in
the y direction as the original loading. Also, find the uniformly distributed load that must be added
in the x direction to produce no deformation in the z direction.

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