2. The diameters of the solid shafts are: AB is 0.6 in,ABDBC is 0.75 in. and CD is 0.9 in. The applied torquesare: TĄ = 400 in lb, Tg = 1200 in Ib, Tc = 500 in İb.Determine the maximum shear stress in each of thethree shafts.TATBAns: TmaxAB = 9431 psi, TmarBC = 9658 psi,TmaxCD = 9082 psiTeFixedto wall

Answered: Image /qna-images/answer/6366c6aa-9797-41de-8878-0600c9d45e65.jpg

2. The diameters of the solid shafts are: AB is 0.6 in, BC is 0.75 in. and CD is 0.9 in. The applied torques are: TA = 400 in Ib, Tg = 1200 in lb, Tc= 500 in Ib. Determine the maximum shear stress in each of the three shafts.

2. The diameters of the solid shafts are: AB is 0.6 in, BC is 0.75 in. and CD is 0.9 in. The applied torques are: TA = 400 in Ib, Tg = 1200 in lb, Tc= 500 in Ib. Determine the maximum shear stress in each of the three shafts.

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 3.8.3P: A solid circular shaft AB of diameter d is fixed against rotation at both ends (sec figure), A...

See similar textbooks

Related questions

Q: Calculate the maximum permissible torque on a hollow shaft if the maximum allowable shearing stress…

Q: The end of a 2.5 in diameter steel shaft is milled to two flats (one flat on the top and one flat at…

A: Given data as per question Diameter of shaft =2.5 in Length of shaft =2 in Torque applied =750 lb.in…

Q: A solid shaft having a diameter of 100mm has an allowable shearing stress of 80 MPa. Determine the…

Q: solid shaft is transmitting 9 KW at 550 r.p.m. Determine the diameter of the shaft if the maximum…

A: for solution refer below images.

Q: Find the maximum stress developed in a stepped shaft when it is subjected to a: i) Torque of “T” Nm.…

Q: Problem #1. The 60-mm diameter shaft is subjected to torques as shown. If the applied allowable…

Q: A solid steel shaft must not twist through more than 30 in a 6-m length when subjected to a torque…

Q: A solid circular shaft is required to transmit 200 kW while turning at 90 rpm (rev/min). The…

A: Consider a shaft having diameter 'D' is subjected to a twisting moment 'T'. Then, from torsion…

Q: The compound shaft made from the same material consisting of two segments AC and CB is firmly…

Q: A solid constant-diameter shaft is subjected to the torques shown. The bearings shown allow the…

A: Given:Torque acting at A, TA=105 N.mTorque acting at B, TB=314 N.mTorque acting at C, TC=372…

Q: Q4- A circular shaft consists of steel and aluminum segments is subjected to the torques shown in…

A: Given:ζA=75 MPaζs=100 MPaGs=83 GPaGA=28 GPaDAC=50 mmLAC=225 mmDCB=75 mmLCB=300 mm

Q: Compute the torsional shear stress that would be produced in a solid circular shaft having a…

Q: À solid 0.96-in.diameter shaft is subjected to the torques shown. The bearings shown allow the shaft…

Q: Find the torsional shear stress on a 2 inch diameter shaft if it is subjected to a torque of 561…

A: Given diameter of shaft = 2 inch. Torque=561in-lb.

Q: A solid circular shaft of 35 mm diameter transmits a torque of 1460 Nm. The value of maximum shear…

A: Diameter of solid circular shaft, d = 35mm Torque transmitted, T = 1460 Nm or 1460000 Nmm

Q: Figure Q1 shows a 1.4 m long steel shaft that consists of a hollow segment AB and a solid segment…

A: From the above figure : TB=TA+750...........................(1)

Q: The torque of 100 kip - ft is applied in the 16-ft-long hollow steel shaft. Note that the inner…

Q: A torque of T= 40 kip-in. acts on gear C of the assembly shown in Fig. P6.91. Shafts (1) and (2) are…

Q: Figure Q6 shows a circular shaft AB and a square shaft BC where it is fixed at C. а. Determine the…

Q: A 2000 in-Ibf torque acts on a hollow shaft with an outer diameter of 2 in and an inner diameter of…

A: Torque, T=2000 in.lbfOuter diameter of shaft, do=2 inInner diameter of shaft, di=1.75 in

Q: Compute the torsional shear stress in a circular shaft with a diame to a torque of 800 N-m.

Q: A solid constant-diameter circular shaft is subjected to the torques of TA = 440 Ib-ft, TB = 1030…

Q: Question 6 Figure Q6 shows a circular shaft AB and a square shaft BC where it is fixed at C. a.…

A: Part (a) The data given is,

Q: A 1100 Nm torque is applied at B (CW looking from C towards A). Shaft (1) is solid brass with G 40…

Q: To Tc B A If TB=3T and TC=1T, determine the maximum value of T considering that the maximum…

A: Given data: - The value of torque at C is TC = 1T. The value of torque at B is TB = 3T. The…

Q: The A-36 steel shaft with a diameter of 30mm is supported on smooth bearings that allow it to rotate…

A: Given: The diameter of the shaft, d = 30 mm = 0.03 m The modulus of elasticity of the A36 shaft, G =…

Q: Problem 4 A 200-mm-diameter pulley is prevented from rotating relative to 60-mm-diameter shaft by a…

Q: A solid circular steel shaft having an outside diameter of D = 1.25 in. is subjected to a pure…

Q: A steel shaft ABCD having a total length of 3.5 m consists of three lengths having different…

A: Torque is the rotational equivalent of linear force. It is also referred to as the moment, moment of…

Q: Pls answer thank you! A 2 in diameter 6-spline shaft ( d= 0.85D, W= 0.25D, h= 0.075D ) and to slide…

A: Given DataDs=2inn=6d=0.85D=1.7inW=0.25D=0.5inh=0.075D=1.5inL=212inF=2500lbs

Q: 1. The rotating solid steel shaft is simply supported by bearings at points B and C and is driven by…

A: given data D=150mmSy=420Mpaθ=20°SUT=560MpaTA=340NmFOS=2.5(A) Consider the equation of torque acting…

Q: For the solid circular rods exposed to the shown torques, determine the segment that experiences…

Q: hollow with an internal diameter of 50 mm. Both are made from steel (G=120 GPa). Critically evaluate…

Q: Q.191 A solid circular shaft of diameter 100 mm is loaded with a uniformly distributed torque of 4…

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 rigidly attached to unyielding supports as shown. Use G = 35 GPa for bronze…

Q: A solid circular shaft of diameter 100 mm is subjected to an axial stress of 50 MPa. It is further…

A: Given, Diameter of shaft = d = 100 mm Axial stress = σx = 50 MPa = 50 N/mm2 Torque = T = 10 kNm = 10…

Q: For solid circular cross section shaft of diameter 25mm , if the applied torque is 20N.m, THEN *?…

Q: A solid constant-diameter shaft is subjected to the torques shown. The bearings shown allow the…

Q: A keyed gears delivers a torque of 912.4 N-m thru its shaft of 63.5 mm outside diameter. If the key…

A: GivenT=912.4Nmd=63.5mmt=15.875mmw=11.1125mmτ=61.2MPaσ=98.8MPa

Q: Determine the power in kilowatts transmitted by the solid shaft if the radius is 7.5mm and it…

Q: A single torque of T = 50 N-m is applied to a compound torsion member. Segment (1) is a 32-mm…

Q: solid steel shaft must not twist through more than 3° in a 6-m length when subjected to a torque of…

Q: The shaft shown has a diameter of 30 mm and is fixed at points A and B. Shear Modulus = 75 GPa.…

Q: PROBLEM 3.2 Determine the maximum shear stress caused by a torque of magnitude T= 800 Nm. [Ans. 87.3…

Q: Two designs for a shaft are being considered. Both have an outside diameter of 70 m and are 900 mm…

A: outside diameter cannot be 70m when inside dater is 50 mm . hence, taking outside diameter as 70 mm…

Q: What is the minimum diameter of a solid steel shaft that will not twist through more than 3˚ in a…

Q: What is the minimum diameter in mm of a solid steel shaft that will not twist through more than 3°…

Q: A solid circular shaft of diameter 100 mm is subjected to an axial stress of 50 MPa. It is further…

A: Data given- d = 100 mm T = 10 × 103 N-m = 10 × 106 N- mm Axial stress = 50 MPa

Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

2. The diameters of the solid shafts are: AB is 0.6 in,
A
B
D
BC is 0.75 in. and CD is 0.9 in. The applied torques
are: TĄ = 400 in lb, Tg = 1200 in Ib, Tc = 500 in İb.
Determine the maximum shear stress in each of the
three shafts.
TA
TB
Ans: TmaxAB = 9431 psi, TmarBC = 9658 psi,
TmaxCD = 9082 psi
Te
Fixed
to wall

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, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Repeat Problem 11.2-3 assuming that R= 10 kN · m/rad and L = 2 m.
A motor driving a solid circular steel shaft with diameter d = 1.5 in, transmits 50 hp to a gear at B, The allowable shear stress in the steel is 6000 psi. Calculate the required speed of rotation (number of revolutions per minute) so that the shear stress in the shaft does not exceed the allowable limit.
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.]
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?
Pls answer thank you! A 2 in diameter 6-spline shaft ( d= 0.85D, W= 0.25D, h= 0.075D ) and to slide when not under load has a compressive force of 2500 lbs. Find the torque applied if hub length is 2 1/2 in.
2: If the permissible shear stress of a solid shaft is of 70MPa, the torque angle between two cross sections separated 2.5m does not exceed 3°, the applied torque is of 1400N.m and G=11Gpa a. Determine the required diameter in function of the shear stress b. Determine the required diameter in function of the angle of twist
Two designs for a shaft are being considered. Both have an outside diameter of 70 m and are 900 mm long. One is solid but the other is hollow with an internal diameter of 50 mm. Both are made from steel (G=120 GPa). Compare the torsional shear stress, angle of twist of the two designs if they are subjected to a torque of 796 N. m.
Two sections of steel drill pipe, joined by boltedflange plates at B, are being tested to assess the adequacyof both the pipes. In the test, the pipe structureis fixed at A, a concentrated torque of 500 kN ? m isapplied at x = 0.5 m, and uniformly distributed torqueintensity t0 = 250 kN . m/m is applied on pipe BC.Both pipes have the same inner diameter d = 200 mm.Pipe AB has thickness tAB =15 mm, while pipe BChas thickness tBC =12 mm. Find the maximum shearstress and maximum twist of the pipe and their locationsalong the pipe. Assume G = 75 GPa.
The torsional assembly consists of solid 1.6 in. diameter aluminum [G = 4,000 ksi] segments (1) and (3) and a central solid 2.0 in. diameter bronze [G = 6,500 ksi] segment (2). Segment lengths are L1 = L3 = 32 in. and L2 = 66 in. Concentrated torques of TB = 2T0 and TC = T0 are applied to the assembly at B and C, respectively. If the rotation angle at joint B must not exceed 3.0°, determine:(a) the maximum magnitude of T0 that may be applied to the assembly.(b) the maximum shear stress magnitude in aluminum segments (1) and (3).(c) the maximum shear stress magnitude in bronze segment (2).
Two designs for shaft are being considered. Both have an outside diameter of 60 mm and are 500 mm long. One is solid but the other is hallow with an inside diameter of 40 mm, both are made from steel ( G=80 GPa). Compare the torsional shear stress, and the mass of the two designs if they are subjected to a torque of 71 N.m.
(7) The drive of an outboard motor which rotates @ 5,000rpm is supported by a spline in the crankshaft @ the upper end & bearing @ the lower end 560mm apart. (a) If the engine develops 15kW @ this speed, what is the diameter of the solid steel shaft to use? The allowable torsional stress is 80N/mm2 .
PLEASE ANSWER ASAP TY! The shaft shown has a diameter of 30 mm and is fixed at points A and B. Shear Modulus = 75 GPa. a) What is the internal torque in segment AC (in N-m)? b) Determine the maximum torsional shear stress experienced at segment AC (in MPa). c) What is the torsional shear stress at the center of the cross-section of the shaft (in MPa)? d) Determine the reactive torque at point B (in N-m).