Q2. The figure below shows a shaft mounted in bearings at A and D and having pulleys at B and C. The forces
shown acting on the pulley surfaces represent the belt tensions. The
shaft is to be made of AISI 1035 CD steel. Using von-Mises failure
theory with a design factor of 2.2, determine the minimum shaft
diameter to avoid yielding. (Representation of shear and moment
diagrams of the shaft is necessary) (15 marks)
6-in D.
300 lbf
50 lbf
y
59 lbf
1
2
3
4
SAE and/or Process-
UNS No.
AISI No.
ing
Tensile
Strength,
MPa (kpsi)
5
Yield
Strength,
MPa (kpsi)
G10350
1035
HR
500 (72)
270 (39.5)
A 8 in
CD
550 (80)
460 (67)
Mises stress
σ' =
(01-02)² + (02-03)2 + (03-01)271/2
2
8-in D.
392 lbf D
C.6 in