The compound shaft below is attached to rigid supports. It is subjected to a concentrated torsional force of 2 kN-m at the junction. For the bronze segment, the diameter is 75 mm, and G = 35 GPa. For the steel segment, the diameter is 50 mm, and G = 83 GPa. If a = 1.5 m and b = 1 m, compute the shearing stress for both segments and angle of twist at the junction. T a b

The compound shaft below is attached to rigid supports. It is subjected to a concentrated torsional force of 2 kN-m at the junction. For the bronze segment, the diameter is 75 mm, and G = 35 GPa. For the steel segment, the diameter is 50 mm, and G = 83 GPa. If a = 1.5 m and b = 1 m, compute the shearing stress for both segments and angle of twist at the junction. T a b

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

2. All members of the truss A B C shown have a cross- sectional area of 500 mm? and all pins have a diameter of 20mm. Determine: 2 m (a) The axial stresses in members BC and DE F E D -2 m 2 m 2 m- (b) The shear stresses in the pin at A, assuming the pin is in double shear P = 21 kN
The bell crank shown is in equilibrium. (a) Determine the required diameter of the connecting rod AB if its axial stress is limited to 120 MPa. (b) Determine the shearing stress in the pin D if its diameter is 20 mm. B 30° 260 mm- 180 mm A 3. C D 140°. DOUBLE 28 KN SHEAR
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
The 600mm diameter steel shaft is subjected to the torques shown. Determine torsion at each section. Assume G = 75 GPa. P=74 1.5P= 1.5(74) = 111 kNm 3P= 3(74)= 222kNm
It is known that q=2kN/m, 1= 6m in the shown structure. Determine the force in the tension link AB. 1/2 12 | (1)6kN (2)9kN (3)3kN 9/1 (4)4kN B
Rigid bar ABC is supported by a pin at bracket A and by tie rod (1). Tie rod (1) has a diameter of 7 mm, and it is supported by double- shear pin connections at B and D. The pin at bracket A is a single-shear connection. The pin at B is 7 mm in diameter. Assume a = 640 mm, b = 320 mm, h = 400 mm, and 8= 55°. If the normal stress in tie rod (1) cannot exceed 200 MPa and the shear stress in pin B cannot exceed 100 MPa, determine the maximum load Pmax that can be supported by the structure. D (1) a B KN h
The bell-crank mechanism is in equilibrium for an applied load of P= 48 kN. Assume that a = 230 mm, b = 180 mm, and 8 = 65°. The pin at B has a diameter of d = 30 mm, and the bell crank has a thickness of t= 10 mm. Calculate the bearing stress in the bell crank at pin B. (1) P Answer: O= i Bell crank A a C MPa B Support bracket b B F₁
For the beam shown: 1. Draw the free-body diagram (FBD) and determine the reactions at the supports. 2. Determine the internal forces and draw their diagrams. 3. Design the beam using IPE shape. 4. Draw the stress diagram in the critical cross section. Data: F= 60 kNm, L = 1 m, 0 = 120 MPa. I IPE A F L #C L B
If the applied load "P" causes the point C to be displaced downward by oc=2.8 mm, determine the normal strain in members AC and BC. The unloaded lengths are LAC-290 mm and LBC=340 mm. A The strain for link AC is The strain for link BC is 60° 45° C P SC B
A truss system is supported by two pins at the top. Determine the absolute value of the axial stress in member AC (in MPa) if the diameter of the member is 30 mm.
The uniform beam is supported by two rods AB and CDthat have cross-sectional areas of 10-mm2 and 15-mm2,respectively. Determine the stress on two rods AB and CDif the uniform load is 5N/m.