A solid circular bar ABCD with fixed supports at ends A and D is acted upon by two equal and oppositely directed torques To, as shown in the figure. The torques are applied at points B and C, each of which is located at distance z from one end of the bar. (The distance z may vary from zero to L/2.) To To Tp TA (a) For what distance z will the angle of twist at points B and C be a maximum? (b) What is the corresponding angle of twist max? [Hint: Use the equations below to obtain the reactive torques. Assume that the shear modulus of elasticity is denoted G, and the polar moment of inertia is denoted Ip.] ToLB ToLA ; TB TA L L

A solid circular bar ABCD with fixed supports at ends A and D is acted upon by two equal and oppositely directed torques To, as shown in the figure. The torques are applied at points B and C, each of which is located at distance z from one end of the bar. (The distance z may vary from zero to L/2.) To To Tp TA (a) For what distance z will the angle of twist at points B and C be a maximum? (b) What is the corresponding angle of twist max? [Hint: Use the equations below to obtain the reactive torques. Assume that the shear modulus of elasticity is denoted G, and the polar moment of inertia is denoted Ip.] ToLB ToLA ; TB TA L L

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Q.17 A stepped circular shaft is fixed at A and C as shown in the figure below. The diameter of the…

Q: Force P in the xy-plane acts on the triangular plate. Determine P in the following situations:a)…

A: The problem involves calculating the moment of force P acting on a triangular plate in two different…

Q: Force F acts at polnt C on the bent plpe OABC. 50° 5.60 ft 3.20 ft 40° F= (-4.6i - aj + 4.5k) kips…

A: The given figure is shown below:

Q: determine the maximum torque T that can be applied.

A: Solution: Allowable shear stress: Dd = 5020 = 2.5 rd = 420 = 0.20 Taken that, K = 1.25 τmax =…

Q: Problem 1: A beam is supported by a roller at A and a pin at B. Determine the reactions at A and B…

Q: The axial force at B is? 2. The bending moments at points C and E are?

A: Draw the free body diagram. Equilibrium of horizontal forces, ∑Fx=0Fx=0

Q: y | 1 A -X 25' 15⁰ 40° C F = 13 kips 15' B 11 .n

Q: The framework shown in Figure 1 is supported by an A-ball joint and an E-roller. Neglecting the…

Q: QUESTION 3 A frame of two members (AC) and (BD) are connected together at pin B. The other ends are…

Q: If the shear at point A on a beam is zero, then A.the slope of the bending moment at A must be zero…

Q: The following steel shaft (1) is rigidly connected at B to another aluminum shaft (2). Both shafts…

A: Step 1:Step 2: Step 3: Step 4:

Q: Problem 5: Determine the support reactions at A and E if F = 750 N. 80 mm A B D -170 mm 1 125 mm C…

Q: 8kN 16KN/m A E 75m .75mm D ()=ay 2m B 75m 1.5m

Q: Q5 Draw the influence line for (a) the moment at B, (b) the shear at C, and (c) the vertical…

A: Given data:

Q: The moment acting on the cross section of the T- beam has a magnitude of 19 kip-ft and is oriented…

Q: Problem 5: Determine the support reactions at A and E if F = 750 N. S80 mm A VB E D 170 mm- 125 mm C…

Q: A P = 10 kip 1.5 ft B C 2 ft The bars in the structure to the left are pinned and have circular…

Question

A solid circular bar ABCD with fixed supports at ends A and D is acted upon by two equal and oppositely
directed torques To, as shown in the figure. The torques are applied at points B and C, each of which is
located at distance z from one end of the bar. (The distance z may vary from zero to L/2.)
To
To
Tp
TA
(a) For what distance z will the angle of twist at points B and C be a maximum?
(b) What is the corresponding angle of twist max? [Hint: Use the equations below to obtain the reactive
torques. Assume that the shear modulus of elasticity is denoted G, and the polar moment of inertia is
denoted Ip.]
ToLB
ToLA
; TB
TA
L
L

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

The 23-N force Pis applied perpendicular to the portion BC of the bent bar. Determine the moment of P about point B and about point A. Moments are positive if counterclockwise, negative if clockwise. P = 23 N 2.0 m 49 B 2.0 m A Answers: MB = i N-m MA = N-m
Part E The shaft is supported at its ends by two bearings A and B and is subjected to the forces applied to the pulleys fixed to the shaft. (Figure 1) The T = 585-N forces act in the -z direction and the 200-N and 80-N forces act in the +y direction. The journal bearings at A and B exert only y and z components of force on the shaft. Determine the resultant bending moment in the y direction on the cross section at C. Express your answer to three significant figures and include appropriate units. HA Figure 1 of 1 (Mc)y = Value Units Submit Request Answer 400 mm 150 mm 150 mm Part F В 200 mm Determine the resultant bending moment in the z direction on the cross section at C. 200 mm Express your answer to three significant figures and include appropriate units. 300 mm 80 N 80 N HA 200 N 200 N (Mc)z = Value Units Submit Request Answer
The solid spindle AB has a diameter ds = 1.5 in. and is made of a steel with an allowable shearing stress of 12.5 ksi, while sleeve CD is made of a brass with an allowable shearing stress of 7 ksi. Determine the largest torque T that can be applied at A. 8 in. 4 in. D B -3 in. t = in. -d₂ T The largest torque T that can be applied at A is 82.834 kip-in.
The frame shown supports a load W DE 1000 lb through the cable that passes through 3 pulleys and at the end is attached to a frame, also supports the distributed loads ω1 = 100 lb / ft; ω2 = 60 lb / ft and ω3 = 50 lb / ft. Determine: 1. Reactions at supports A and E. 2. Forces acting on bar ABCDE, show the results in graphical form of the beam. That is, you must make the simplified free-body diagram of the loads that act only on the horizontal element. 3. Make the shear force and bending-moment diagrams for the entire beam. The geometry and load data are as follows: see the geometry and load in the images. Clarification: THE CABLE GOES BEHIND THE FRAME AND THE CONTACT IS ONLY WITH THE PULLEYS AND THE GRIP TO THE FRAME (WALL).All pulleys have the same radius.
A bent pipe is attached to a wall with brackets as shown. A force of F = 210 lb is applied to the end of the tube with direction indicated by the dimensions in the figure. Determine the support reactions at the brackets B, C, and D. Model these brackets as journal bearings (only force reactions perpendicular to the axis of the tube) and neglect couple moment reactions. Assume the distance between the supports at B and C and the tube bends nearby are negligible such that the support at C is directly above the support at D and the dimension g gives the distance between supports B and C. Enter your answers in Cartesian components. 2013 Michael Swanbom cc i❀O BY NC SA x Z B y g d FL $ h A каж Values for dimensions on the figure are given in the table below. Note the figure may not be to state.