1. Two torque as shown are applied on a compound shaft of aluminum segment and a steel. Determine the maximum permissible value of T subjected to the following conditions: T, 5 90MPA, Ta s 65MPA_ and the angle of rotation of the free end limited to 11°. Use GS = 84 GPa and Ga = 27 GPa 75 mm (30 pts) Aluminum Steel Bf 50 mm 1.5 m

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter11: Columns
Section: Chapter Questions
Problem 11.2.4P: Repeat Problem 11.2-3 assuming that R= 10 kN · m/rad and L = 2 m.
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1. Two torque as shown are applied on a compound shaft of aluminum segment
and a steel. Determine the maximum permissible value of T subjected to the
following conditions: t, < 90MPa, ta S 65MPA_ and the angle of rotation of the
free end limited to 11°. Use Gs = 84 GPa and Ga = 27 GPa
75 mm
2T
(30 pts)
Aluminum
Steel
B
50 mm
2 m
1.5 m
2. A solid shaft is to transmits 22 kW at 110 rpm. Determine the diameter of the
shaft if the shearing stress is not to exceed 35 MPa and the angle of twist is
limited to 5° in a length of 4m. Use G=86 GPa
(20 pts)
3. Determine the stress in each of the two vertical rods if the temperature rises 50
°C after the load P=75 KN is applied. Neglect the deformation and mass of the
horizontal bar AB. Use Ea = 75 GPa, as=23.0 um/m-°C, Aa = 850 mm2_ Es = 210
GPa, as = 11.9 µm/m-°C and As = 650 mm² .
(30 pts)
Steel
Aluminum
3m
2.5m
B
3 m
3 m
3 m
75 kN.
4. A steel rod of length L and uniform cross sectional area A is secured between
two walls, as shown. Use L=1.7 m, E = 200 GPa, a = 11.9 x 10-6 /°C and AT = 70
°C. Calculate the stress for a temperature increase of AT for: a) The walls are
fixed. b) The walls move apart a distance 0.4 mm.
(20 pts)
L
Transcribed Image Text:1. Two torque as shown are applied on a compound shaft of aluminum segment and a steel. Determine the maximum permissible value of T subjected to the following conditions: t, < 90MPa, ta S 65MPA_ and the angle of rotation of the free end limited to 11°. Use Gs = 84 GPa and Ga = 27 GPa 75 mm 2T (30 pts) Aluminum Steel B 50 mm 2 m 1.5 m 2. A solid shaft is to transmits 22 kW at 110 rpm. Determine the diameter of the shaft if the shearing stress is not to exceed 35 MPa and the angle of twist is limited to 5° in a length of 4m. Use G=86 GPa (20 pts) 3. Determine the stress in each of the two vertical rods if the temperature rises 50 °C after the load P=75 KN is applied. Neglect the deformation and mass of the horizontal bar AB. Use Ea = 75 GPa, as=23.0 um/m-°C, Aa = 850 mm2_ Es = 210 GPa, as = 11.9 µm/m-°C and As = 650 mm² . (30 pts) Steel Aluminum 3m 2.5m B 3 m 3 m 3 m 75 kN. 4. A steel rod of length L and uniform cross sectional area A is secured between two walls, as shown. Use L=1.7 m, E = 200 GPa, a = 11.9 x 10-6 /°C and AT = 70 °C. Calculate the stress for a temperature increase of AT for: a) The walls are fixed. b) The walls move apart a distance 0.4 mm. (20 pts) L
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