The solid shaft is fixed to the support at C and subjected to the torsional loadings TA = 12 kN.m and Tâ = 3 kN.m in the directions shown by the figure. What is the angle of twist of end A with respect to end C? Take d = 120 mm, LAB = 263 mm, LBC = 184 mm and G = 75 GPa. TA LBc LAB

The solid shaft is fixed to the support at C and subjected to the torsional loadings TA = 12 kN.m and Tâ = 3 kN.m in the directions shown by the figure. What is the angle of twist of end A with respect to end C? Take d = 120 mm, LAB = 263 mm, LBC = 184 mm and G = 75 GPa. TA LBc LAB

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.9.1P: A solid circular bar of steel (G = 1L4 × 106 psi) with length L = 30 in, and diameter d = 1.75 in,...

See similar textbooks

Related questions

Q: 4. The solid shaft and tube shown in Figure are made of a material having an allowable shear stress…

Q: he two solid steel shafts shown in the figure are connected by gears. Determine the angle of twist…

A: Given Shear modulus, E = 70 GPa Torque, T = 25 N Diameter, d = 20 mm Find…

Q: (A,) See the figure below. There are two torques applied at B and D. Segment CD is a tube, while AB…

A: In the given problem, the dimensions and Modulus of rigidity have been converted to feet. Radius,…

Q: The solid shaft (G=70 GPa) has a diameter of 40 mm. Calculate: a. The magnitude and direction of the…

Q: d Bronze B Steel - b–

Q: A thin-walled tube is subjected to torsion as shown. Determine the angle of twist produced. (in rad)

A: Given Radius =300 mm = 0.3 m Length = 6 m Thickness = 25 mm = 0.025 m T = 4kN m = 4000 Nm G = 70 GPa…

Q: The shear stress–strain diagram for a solid 50-mm diameter shaft can be approximated as shown in the…

Q: 5 - Shaft ABC is fixed at both ends. Segment AB is solid core and segment BC is hollow-core, with…

A: Given:LAB=0.4 mLBC=0.5 mDAB=40 mmDBC=60 mmdBC=30 mmGAB=28 GPaGBC=85 GPa

Q: The figure below shows a shaft of three segments. It is restrained (fixed support) at both sides and…

A: Bronze: Length, Lbronze= 2 mDiameter, Dbronze= 25 mm= 25×10-3 mGbronze= 35 GPa= 35×109 Pa Aluminum:…

Q: The compound shaft is attached to a rigid wall at each end. For the bronze segment AB, the diameter…

Q: A circular stepped steel shaft has the dimensions and cross sections as shown in Figure Q1. It is…

Q: Given the figure shown below, bronze and aluminum compound shaft are attached to rigid supports. The…

A: To find: The maximum torque carried by the aluminum shaft. Given: The diameter of bronze shaft is…

Q: The diameter of and LCD = 240 mm. 1. The lengths LAB = LBC = 200 mm parts AB and CD of the bar is 25…

A: Find the angle of twist and torque .

Q: A solid steel shaft ABCDE turns freely in bearings at points A and E. The shaft is driven by the…

Q: The compound shaft is attached to a rigid wall at each end and is subjected to the torque T = 6 kN.m…

Q: The wrench is applied to two forces each of magnitude P. The steel shaft AB has a diameter of 15 mm.…

Q: y T H A (1) B

A: You asking only Area and Polar moment of inertia so i provide only that,i hope you understand.

Q: The compound shaft is attached to a rigid wall at each end. For the bronze segment AB, the diameter…

Q: A 75 mm Bronze a B 50 mm T Steel -b- DC

Q: torque, T, should be applied to the end of the steel sha. duce a twist of 1.5°? Use G = 80 GPa for…

A: Given Data→ Steel shaft Angle of twist θ=1.5° Convert from degree to radian θ=0.0261799 G=80 GPa…

Q: The compound shaft is attached to a rigid wall at each end. For the bronze segment AB, the diameter…

Q: The 75-mm rod carries a bending moment of 3kNm and a Torque T as shown in the figure. If the…

Q: A metal shaft ABCD with variable cross-section is subjected to three external torques (T1=28 kip-…

Q: largest torque T (in Nm) that

A: Given that , For bronze,G=34.74d=66mmFor steel , G=84.1GPad'=45mma=2.18m &…

Q: 3.7-4 d = 40 mm is driven at A by a motor that transmits 75 kW to the shaft at 15 Hz. The gears at B…

Q: The proposed shaft is guided in rotation by two roller bearings O and C. T1 = 60 Ib T2 = 400 Ib…

A: Given: T1 = 60 Ib T2 = 400 Ib Reactions: Ro = 293,25 Ib Rc = -178,25 Ib To find: 1) Calculate the…

Q: The compound shaft is attached to a rigid wall at each end. For the bronze segment AB, the diameter…

Q: The shaft consists of a 3-in diameter aluminum segment that is rigidly joined to a 2-in diameter…

A: The diameter of the aluminiumThe diameter of the steelLength of the aluminium segmentLength of the…

Q: The compound shaft is attached to a rigid wall at each end and is subjected to the torque T = 10…

Concept explainers

Torsion

In mechanical engineering, torque, torsion, and twisting moment are three of the most important concepts which have different meanings. Torque is the consequence of a moment of a force that produces an angular acceleration in a body or induces rotational kinetic energy in a body. For instance, in an automobile, the power transmission shaft is a body that is always under rotation due to the external torque acting on it, this torque is created by the engine.

Question

The solid shaft is fixed to the support at Cand subjected to the torsional loadings
TA = 12 kN.m and TB = 3 kN.m in the directions shown by the figure. What is the angle
of twist of end A with respect to end C? Take d = 120 mm, LAB = 263 mm,
L BC = 184 mm and G = 75 GPa.
%3D
Tg
LBc
TA
LAB

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step by step

Solved in 5 steps with 3 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, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

A full quarter-circular fillet is used at the shoulder of a stepped shaft having diameter D2= 1.0 in. (see figure), A torque T = 500 lb-in. acts on the shaft. Determine the shear stress at the stress concentration for values as follows: D1= 0.7,0.8, and 0.9 in. Plot a graph showing versus D?
Solve the preceding problem for a W 200 × 41,7 shape with h = 166 mm, h = 205 mm. rw = 7.24 mm, tE= ILS mm,andV = 38 kN.
A stepped shaft ACB having solid circular cross sections with two different diameters is held against rotation at the ends (sec figure). If the allowable shear stress in the shaft is 6000 psi, what is the maximum torque (T0) that may be applied at section C? Find (T0)max if the maximum angle of twist is limited to 0.55º. Let G = 10,600 ksi.
Solve the preceding problem if the length L = 56 in., the inner radius r1— 1.25 in., the angle of twist is 0.5°, and the allowable shear strain is 0.0004 rad.
A tubular bar with outside diameterd2= 4.0 in, is twisted by torques T = 70,0 kip-in. (see figure). Under the action of these torques, the maximum tensile stress in the bar is found to be 6400 psi. Determine the inside diameter rtf of the bar. If the bar has length L = 48.0 in. and is made of aluminum with shear modulus G = 4,0 × 106 psi, what is the angle of twist d (in degrees) between the ends of the bar? (c) Determine the maximum shear strain y (in radians)?
What is the maximum power that can be delivered by a hollow propeller shaft (outside diameter 50 mm, inside diameter 40 mm, and shear modulus of elasticity 80 GPa) turning at 600 rpm if the allowable shear stress is 100 MPa and the allowable rate of twist is 3.0°/m?
A tubular aluminum bar (G = 4 × 106 psi) of square cross section (see figure) with outer dimensions 2 in. × 2 in. must resist a torque T = 3000 1b-in. Calculate the minimum required wall thickness Tminif the allowable shear stress is 4500 psi and the allowable rate of twist is 0.01 rad/ft.
A solid circular shaft AB of diameter d is fixed against rotation at both ends (sec figure), A circular disk is attached to the shaft at the location shown. What is the largest permissible angle of rotation 0max of the disk if the allowable shear stress in the shaft is Tallow? [Assume that a >b. Also, use Eqs. (3-50a and b) of Example 3-9 to obtain the reactive torques.]
The non prismatic, cantilever circular bar shown has an internal cylindrical hole from 0 to y, so the net polar moment of inertia of the cross section for segment 1 is (7/8 )Ip. Torque Tis applied at _y and torque 772 is applied at .v = L. Assume that G is constant. Find the reaction moment Ry. Find internal torsional moments Tiin segments 1 and 2. Find x required to obtain twist at joint 3 of tf3 = TLtGIp. What is the rotation at joint 2, Draw the torsional moment (TMD:7(.,0 _v L) and displacement (TDD: M_y),0 x L) diagrams.
A solid circulai' aluminum bar AB is fixed at both ends and loaded by a uniformly distributed torque 150N·n/m. The bar has diameter d = 30 mm. Calculate the reactive torques at the supports and the angle of twist at midspan. Assume that G = 28 GPa.
A square tube section has side dimension of 20 in. arid thickness of 0.5 in. If the section is used for a 10-ft-long beam subjected to 1250 kip-in, torque at both ends, calculate the maximum shear stress and the angle of twist between the ends. Use G = 11,600 ksi.
A stepped shaft ACE is held against rotation at ends A and B and subjected to a torque T0acting at section C(see figure). The two segments of the shaft (AC and CB) have diameters dAand dg, respectively, and polar moments of inertia IpAand IpBrespectively. The shaft has length L and segment AC has length a. For what ratio a/L will the maximum shear stresses be the same in both segments of the shaft? For what ratio a/L will the internal torques be the same in both segments of the shaft?