A stepped shaft ACB shown in Figure Qz having solid circular cross sections with two different diameters is held against rotation at the ends. The parameter of X and Y are given in Table Q2. (i) By drawing the free-body diagram of the shaft, write the equation of moment equilibrium and the compatibility equation for the shaft. (ii) Using the torque-displacement relation, p= (TL) /(JG), solve the reactive torques, TT, in terms of torque To. (iii) If the allowable shear stress in the shaft is allow = 43MPa, calculate the allowable torque To based upon shear stress in segment AC. (iv) If the allowable shear stress in the shaft is allow = 43MPa, calculate the allowable torque To based upon shear stress in segment CB. (v) By comparing the result in (iii) and (iv), what is the maximum torque (To)max that may be applied at section C.

A stepped shaft ACB shown in Figure Qz having solid circular cross sections with two different diameters is held against rotation at the ends. The parameter of X and Y are given in Table Q2. (i) By drawing the free-body diagram of the shaft, write the equation of moment equilibrium and the compatibility equation for the shaft. (ii) Using the torque-displacement relation, p= (TL) /(JG), solve the reactive torques, TT, in terms of torque To. (iii) If the allowable shear stress in the shaft is allow = 43MPa, calculate the allowable torque To based upon shear stress in segment AC. (iv) If the allowable shear stress in the shaft is allow = 43MPa, calculate the allowable torque To based upon shear stress in segment CB. (v) By comparing the result in (iii) and (iv), what is the maximum torque (To)max that may be applied at section C.

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

Determine the equivalent state of stress if an element is oriented 50° counterclockwise to the element. Show the result on the element. Solve using Mohr's circle.
The toggle-wedge is an effective device to close the gap between two planks during construction of a wooden boat. For the combination shown, if a force P of 275 lb is required to move the wedge, determine the friction force F acting on the upper end A of the toggle. The coefficients of static and kinetic friction for all pairs of mating surfaces are taken to be 0.34. Assume 0 = 15%, p = 7° P Ꮎ Answer: F = i A lb
Solve for the equivalent force on an inclined surface. Look at Figure A.1 below. You will see a triangular block cut from a stress block with known stresses. The size and thickness of the block does not matter, so we will assume the area of the sloped inclined surface is A (sorry that it is the same symbol as the Point). If the area of the sloped surface is A, then the area of the other two surfaces is A cos (Theta) and A sin (Theta). First, draw a FBD of the block by multiplying each stress (normal and shear, known and unknown) by their associated area (in terms of A). Second, break the stress vectors on the side and bottom into components along the x’ and y’ axes. Third, sum the forces in the y’ direction and set them equal to zero (you should now be able to cross out the value of A for each term in your equation resulting in an equation with only one unknown, the normal stress in the y’ direction). Solve for the value of the normal stress in the y’ direction. Now repeat for…
A load Pis supported by a structure consisting of rigid bar ABC, two identical solid bronze [E = 15900 ksi] rods, and a solid steel [E = 30300 ksi] rod, as shown. The bronze rods (1) each have a diameter of 0.69 in. and they are symmetrically positioned relative to the center rod (2) and the applied load P. Steel rod (2) has a diameter of 0.42 in. Assume L=37 in and L2=68 in. If all bars are unstressed before the load P is applied, determine the normal stresses in bronze rods (1) and steel rod (2) after a load of P = 28 kips is applied. (1) L2 (1) B P. Answers: i 27.744 ksi. 02 = 4.512 ksi.
To determine the state of stress in a solid rod using the principle of superposition. A solid rod has a diameter of e = 50 mm and is subjected to the loading shown. Let a = 190 mm, b= 220 mm, c = 310 mm, d = 220 mm, and P = 3.0 kN. Take point A to be at the top of the circular cross-section. (Figure 1) Figure < 1 of 2 ▼ ▼ Part A - Moment about the x axis at A M₂ = As shown (Figure 2), a cut was made at A to determine the resultant internal loadings. Determine the moment about the x axis, M, Express your answer to three significant figures and include the appropriate units
The horizontal beam is supported by a pin at A and the pin-connected link BC. It has a uniformly distributed loading w = 2.6 kN/m as shown in the figure. All the pins are in double shear and have a diameter of 20 mm. Determine the max shear stress in the pin at C. Input your answer as a value only in MPa to one decimal place without +/- sign. W 1.5 m 2 m B 1m
In the system shown, the rigid bar ABC is subjected to a load w = 0.5 kip/in. Bars 1, 2 and 3 are made of steel and are hinged at both ends. a) State whether the system is statically determinate or indeterminate and the degree of indeterminacy. b) Determine the force in steel bars 1, 2, and 3 (indicating whether they are in tension or compression). c) Determine the displacement of point A. All steel bars have area A=1.25 in^2 L= 6 in Eac = 29×10^3 ksi
Q2
The beam section given in the figure is under the influence of M = 5 kN.m bending moment. Section C and B ' Calculate the normal stresses that will occur at the points. E = 200 GPa. (N-A axis weight passes through the center.)