Question 5A crank arm consists of a sold segment of length bi and diameter d, a segment of length b2,and a segment of length b3 as shown n Figure Q5 Two loads P act as shown one parallel to-x and another parallel to -y Each load P equals 1 2 kN The crankshaft dimensions are b75 mm, b2 125 mm, and b3 = 35 mm. The diameter of the upper shaft is d 22 mmDetermine the maxımum tensile, compressive, and shear stresses at point A, which is locatedon the surface of the shaft at the z axisTrHint Shear stress due to Torsion is TTis the torque on the shaft,Ipr is the shaft radus and In is the16V4VShear stress due to shear fore Vs T3Apolar moment of inerta gven by3πα232Bbb3in-x directonP in -y directonFigure Q5

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Asked Aug 28, 2019
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Question 5
A crank arm consists of a sold segment of length bi and diameter d, a segment of length b2,
and a segment of length b3 as shown n Figure Q5 Two loads P act as shown one parallel to
-x and another parallel to -y Each load P equals 1 2 kN The crankshaft dimensions are b
75 mm, b2 125 mm, and b3 = 35 mm. The diameter of the upper shaft is d 22 mm
Determine the maxımum tensile, compressive, and shear stresses at point A, which is located
on the surface of the shaft at the z axis
Tr
Hint Shear stress due to Torsion is T
Tis the torque on the shaft,
Ip
r is the shaft radus and In is the
16V
4V
Shear stress due to shear fore Vs T
3A
polar moment of inerta gven by
3πα2
32
B
b
b3
in-x directon
P in -y directon
Figure Q5
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Question 5 A crank arm consists of a sold segment of length bi and diameter d, a segment of length b2, and a segment of length b3 as shown n Figure Q5 Two loads P act as shown one parallel to -x and another parallel to -y Each load P equals 1 2 kN The crankshaft dimensions are b 75 mm, b2 125 mm, and b3 = 35 mm. The diameter of the upper shaft is d 22 mm Determine the maxımum tensile, compressive, and shear stresses at point A, which is located on the surface of the shaft at the z axis Tr Hint Shear stress due to Torsion is T Tis the torque on the shaft, Ip r is the shaft radus and In is the 16V 4V Shear stress due to shear fore Vs T 3A polar moment of inerta gven by 3πα2 32 B b b3 in-x directon P in -y directon Figure Q5

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Expert Answer

Step 1

Apply force equilibrium condition along x direction.

 

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-P V 0 P V 1.2 kN Apply force equilibrium condition along y direction -P V0 P = V = 1.2 kN Apply moment equilibrium condition along x direction -(Pxb2)T 0 T 1.2 kN x 125 mm T 150 kN mm x T 150 x103N-mm x

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Step 2

Apply moment equilibrium condition along y direction.

 

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M, Pxb)0 M12 kNx 125 mm My 150 kN mm M, 150x 10 N mm Apply moment equilibrium condition along z direction. M+P(b M1. kNx(75 mm +35 mm) M, 132 kN mm M 132 x 10 N -mm z

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Step 3

Consider the stress element at poi...

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xy

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