Concept explainers
For the sake of perspective it is always useful to look at the matter of scale. Double all dimensions in Prob. 9-18 and find the allowable load. By what factor has it increased? First make a guess, then carry out the computation. Would you expect the same ratio if the load had been variable?
The allowable load.
The factor at which the allowable load is increased.
Answer to Problem 53P
The allowable load is
The factor at which the allowable load is increased is
Explanation of Solution
Write the expression for throat area.
Here, the weld thickness is
Write the expression for primary shear stress due to shear force.
Here, the shear force is
Write the expression for unit second polar moment of area.
Here, width of weld is
Write the expression for second polar moment of area.
Write the expression for length of centroid from force.
Here, distance of unfix bar is
Write the expression for bending moment.
Here force acting on the bar is
Write the expression for radius of torsion in.
Write the expression for radius of torsion in
Write the expression for secondary shear in
Write the expression for secondary shear in
Write the expression for net shear stress.
Write the expression for throat area.
Here, the weld thickness is
Write the expression for primary shear stress due to shear force.
Here, the shear force is
Write the expression for unit second polar moment of area.
Here, width of weld is
Write the expression for second polar moment of area.
Write the expression for length of centroid from force.
Here, distance of unfix bar is
Write the expression for bending moment.
Here force acting on the bar is
Write the expression for radius of torsion in.
Write the expression for radius of torsion in
Write the expression for secondary shear in
Write the expression for secondary shear in
Write the expression for net shear stress.
Write the expression for increased factor.
Conclusion:
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Thus, the allowable load is
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Thus, the factor at which the allowable load is increased is
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Chapter 9 Solutions
Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
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