9-30 to 9-31 A steel bar of thickness h is subjected to a bending force F. The vertical support is stepped such that the horizontal welds are b1 and b2 long. Determine F if the maximum allowable shear stress is τallow.
Problem Number | b1 | b2 | c | d | h | τallow |
9–30 | 2 in | 4 in | 6 in | 4 in |
|
25 kpsi |
9–31 | 30 mm | 50 mm | 150 mm | 50 mm | 5 mm | 140 MPa |
Problems 9–30 to 9–31
The bending force
Answer to Problem 31P
The bending force
Explanation of Solution
The below figure shows the dimension of the weld.
Figure-(1)
Write the expression for throat area of weld-1.
Here, the thickness of weld is
Write the expression for throat area of weld-2.
Here, the length of weld is
Write the expression for throat area of weld-3.
Here, the length of weld is
Write the expression for total throat area.
Write the expression for total length of the weld.
Write the expression for location of centroid along x-direction.
Here, the centroidal length of weld-1 is
Write the expression for centroid along y-direction.
Here, the centroidal distance of weld-1 is
Write the expression for the length between total weld and weld-1.
Write the expression for length between total weld and weld-2.
Write the expression for length of total weld and weld-3.
Write the expression for polar moment of inertia of weld-1 about its centroid.
Write the expression for moment of inertia of weld-2 about its centroid.
Write the expression for polar moment of inertia of weld-3 about its centroid.
Write the expression for polar moment of inertia of the total weld.
Write the expression for length where maximum secondary shear stress occurs.
Write the expression for angle of
Write the expression for moment about weld center.
Here, the load on the weld is
Write the expression for primary shear stress.
Write the expression for secondary shear.
Write the expression for maximum shear stresss.
Conclusion:
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Thus, the bending force is
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Chapter 9 Solutions
Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
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