Question 3 Consider a step shaft fixed at both ends and loaded with a torsional moment M, as shown in Figure Q.3. (a) Determine the maximum value of the torsional moment M, if the maximum shear stress (allowable stress) is given as 130 MPa. (b) Determine the angle of twist of one end with respect to the other end.

Question 3 Consider a step shaft fixed at both ends and loaded with a torsional moment M, as shown in Figure Q.3. (a) Determine the maximum value of the torsional moment M, if the maximum shear stress (allowable stress) is given as 130 MPa. (b) Determine the angle of twist of one end with respect to the other end.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

The stepped shaft ACB shown in Figure bellow is fixed at both ends and loaded by a torque TO at point C. Segment AC having solid eircular cross section and segment CB having hollow eircular cross section. If the shafts material is steel with shear mođulus G = 11 x 10 psi, and the torque is T, = 8,000 lb-in. Calculate: (a) The maximum and the minimum shear stress in segment CB. (b) The maximum and the minimum shear strain in segment CB. (c) The angle of rotation 0, at the cross section where the torque To is applied. 0.75 in. 3.0 in. -15.0 im. OF F 2.4 3.0 0.75 in. in.
A solid circular bronze [G = 6,500 ksi] shaft, 6.0 ft long and 1.325 in. in diameter, carries a torque of 90 Ib-ft. For this shaft, determine: (a) the maximum shear stress in the shaft. (b) the magnitude of the angle of twist. Answer: (a) Tmax = psi (b) Ф%3D
The bell-crank mechanism is in equilibrium for an applied load of P = 35 kN. Assume that a = 240 mm, b = 185 mm, and 8 = 65°. The pin at B has a diameter of d = 15 mm, and the bell crank has a thickness of t = 12 mm. Calculate the average shear stress in the pin at B. (1) P Answer: T = i Bell crank a C MPa B Support bracket- b F₁ -- B
(4) The 150-mm-diameter rods AB and BC, having the original lengths shown, are joined at the collar B and fixed connected at their ends. If a torque is applied at collar B as shown, determine the maximum shear stress in rod AB. Take G= 30 GPa. [Tmax MPa] %3D B. 90 kNm 1.0 m 0.8 m
The shaft is made from a solid steel section AB and a tubular portion made of steel having a brass core. It is fixed at a rigid support at A and a torque T=50lb-ft is applied at C. Gsteel= 11,500 ksi Gbrass= 5,600 ksi What is the angle of twist at C? What is the maximum shear stress in the steel and brass? What is the maximum shear strain in the steel and brass?
A compound shaft consists of brass segment (1) and aluminum segment (2). Segment (1) is a solid brass shaft with an allowable shear stress of 25 MPa. Segment (2) is a solid aluminum shaft with an allowable shear stress of 60 MPa. If a torque of Tc = 8,500 N-m is applied at C, determine the minimum required diameter of the brass shaft (1). (2) B O 89.9 mm O 112.3 mm O 165.4 mm O 138.1 mm O 120.1 mm
A force of P₂ = 1000 N is exerted on control arm BC, which is securely attached to the solid 30 mm diameter shaft. Dimensions of the assembly are a = 120 mm and b = 140 mm. Determine the absolute maximum shear stress in the shaft at (a) point H and (b) point K. Answer: A (a) (Tabs max)H= (b) (Tabs max) K = i K P₂ i b a B X MPa MPa
The bell crank, which is in equilibrium under the forces shown in the figure, is supported by a 25-mm-diameter pin at D. Determine the following: P B 4. The required diameter (in mm) of the connecting rod AB, given that its tensile working stress is 120 200 mm MPа. -240 mm 5. The shear stress (in MPa) in the pin. 60° Pin at D 30 kN
The bell-crank mechanism is in equilibrium for an applied load of P = 38 kN. Assume that a = 260 mm, b = 170 mm, and 0 = 64°. The pin at B has a diameter of d = 29 mm, and the bell crank has a thickness of t = 12 mm. Calculate the average shear stress in the pin at B. T= Bell crank A a B Support bracket MPa B F₁ F
Design the maximum permissible value of W using a factor of safety of 2, based on the following conditions of the structure below. a. Ultimate normal stress in members CD and EF is 160 ksi. b. Ultimate shear stress in pins B, D, F, and H is 110 ksi. c. Ultimate bearing stress on member ACEG is 190 ksi. d. Ultimate bearing stress on support plates at B and H is 220 ksi. The support plates are 2 inches thickness, while all members are 6 by 2 inches. Pins B and H are 1.5 inches in diameter while pins C, E, D, and F having 0.80 inches in diameter. Be aware that there are two identical members CD and EF. Additionally, B uses two support plates while H uses just one. W B 15 ft 9 ft 4 ft 3 ft- H
5. The ends of the compound shaft are attached to rigid walls. The maximum shear stress is limited to 10 000 psi for the bronze segment AB and 14 000 psi for the steel segment BC. Determine the diameter of each segment so that each material is simultaneously stressed to its permissible limit when the torque T = 16 kip - ft is applied as shown. The shear moduli are 6 x 10° psi for bronze and 12 x 10° psi for steel. Bronze Steel A 6 ft
Prob 1. The rigid bar below is supported by a pin and two rods and must support a load of 100 kN is placed 3 m from A. The brass (Ebrass = 85 GPa) rod has a cross section of 30 x 30 mm and the copper (Ecopper = 120 GPa) rod 20 x 20 mm. Determine the normal stress and deflection of both bars. 1.5 m 2 m B -copper 100 kN brass- 3m 3 m E