Circular solid ACB shaft is fixed supported between the wall at A and B. If the allowable shear stress in the shaft is 42 MPa, what is the maximum torque (To) that may be applied at section C? Let G= 73 GPa. 38 mm 19 mm

Circular solid ACB shaft is fixed supported between the wall at A and B. If the allowable shear stress in the shaft is 42 MPa, what is the maximum torque (To) that may be applied at section C? Let G= 73 GPa. 38 mm 19 mm

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 3.8.5P: A stepped shaft ACB having solid circular cross sections with two different diameters is held...

See similar textbooks

Related questions

Q: A steel tube with the cross section shown is 6 ft long and has a wall thickness of 0.12 in.…

Q: bar? What is the angle of twist between the ends? . If the allowable shear stress is 6200 psi and…

Q: d Bronze B Steel - b–

Q: Two solid steel shafts of different diameters are joined together at point C. The diameter of the…

Q: e composite shaft shown in Figure consists of a solid brass segment one and a solid aluminum segment…

A: Given values in the question:Torque is T=270 N-mIn the Aluminium segment,d2=24 mm; L2=165 mm; G2=28…

Q: Two steel shafts (G=77.2 GPa) are connected to a coupling disk Band to fixed supports at A and C.…

A: Both the shafts AB and BC are connected in parallel, therefore the angle of twist is the same in…

Q: Torsion A hollow circular shaft has inside and outside diameters of 30 mm and 40 mm respectively.…

Q: The thin walled cross-section, shown in figure, has an allowable shear stress of 2 ksi. Determine…

A: FOR THIN WALLED, τ×t=T2AA=MEAN AREA L=4-2×0.122=3.88inB=2.5-2×0.22=2.3inA=L×B= 3.88×2.3=8.924in2

Q: QUESTION 8 A torque T is applied on an aluminium shaft acting at the ends (see figure). The shaft is…

Q: PROBLEM 3. A solid cross-section shaft made of A992 steel and having a diameter of 60 mm is fixed at…

A: Given data as per question The diameter of shaft =60 mm Torque applied in AC =500 N.m/m Torque…

Q: Question 4. The shaft is made from a solid steel section AB and a tubular portion made of steel and…

A: Given data: T=50 kN.m Need to determine the angle of twist, at point C, maximum shear stress,…

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

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

Q: QUESTION 2 In Figure 2, the shaft is made of a solid A992 steel at section AB (rs = 25 mm),…

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: Part A The shaft is supported by a smooth thrust bearing at A and a smooth journal bearing at B.…

Q: (7) The drive of an outboard motor which rotates @ 5,000rpm is supported by a spline in the…

Q: A höllow circular shaft has an external diameter of 120 mm and the internal diameter is…

Q: Task 3: A hollow aluminum alloy 6061-T6 shaft of outer radius c = 40 mm, inner radius b = 30 mm, and…

A: Given data:

Q: a b A B Figure P-319 and P-320

A: The calculated maximum torque that can be applied.

Q: The composite shaft shown consists of a solid brass segment (1) and a solid aluminum segment (2)…

A: Given:d1=15 mmL1=235 mmG1=4 GPad2=24 mmL2=165 mmG2=39 GPaT=270 N.m

Q: A shaft ABCD 70 mm in diameter is subjected to torques of 1500 N-m at B and 1100 N-m at C acting in…

Q: QUESTION The shaft consists of solid 160 mm diameter rod segment PQ and RS, and the tubular segment…

A: To find: The maximum allowable torque T can be applied to the shaft. Given: The inner diameter of…

Q: A compound shaft consists of two pipe segments. Segment (1) has an outside diameter of 200 mm, a…

Q: 2. A composite shaft is subjected to two torques as shown below. Shaft AB is a solid aluminum (G =…

A: Given, Section AB:GAB = 25 GPa = 25000 N/mm2LAB = 400 mmTAB = 800 Nm = 800,000 NmmdAB = 36 mmJAB =…

Q: When subject to an applied torque,a circular shaft of length 600mm twists through an angle of 2°,if…

Q: Problem 10.2. A stepped steel shaft with diameters d, = 56 mm and d = 52 mm is twisted by torques T1…

A: d1 = 56 mm d2 = 52 mm T1 = 2.5 kN.m T2 = 1.5 kN.m

Q: Calculate the torque T: i. if the shear stress of the brass sleeve in section AB is limited to τb =…

A: Shear stress is defined as the intensity of force acting on the cross sectional area. Shear stress…

Q: (b) A solid rectangular shaft of cross-section 80 mm × 50 mm is welded by a 5 mm fillet weld on all…

A: Given data L=80 mmb=50 mmt=5 mmτ=85 N/mm2

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: 1.5 kN m 4 kN m Steel Aluminum Bronze 100 mm 75 mm 3 m 2 m -1.5 m- C FIG. P3.12 FIG. P3.11 3.12 The…

A: Answer: (a) Maximum shear stress in each material : ◆ Aluminum : 28.0 MPa. ◆ Steel and Bronze :…

Q: An aluminium hollow thin-wall torsion member shown in Fig. 3.15 is 3 m long. If a torque of 10 kN-m…

A: We know that a 3 m long aluminium hollow thin wall torison member is illustrated in the diagram.We…

Q: 3. From the figure shown below, determine the stress of member AB and BC. And calculate the maximum…

Q: Problem1: The entire composite shaft shown in the following figure is manufactured using steel with…

A: GivenG=80GPatorque =Tτa=75MPa

Q: The composite shaft assembly shown is composed of a bronze (G = 38 GPa) hollow shaft perfectly…

A: Note: Dear Student! As per our guidelines, we are only allowed to answer three sub-parts of a…

Q: 1) A solid steel drive shaft is required to transmit 12 hp. The allowable shear stress for steel is…

Q: Task 4: A solid steel shaft in a rolling mill transmits 20 KW of power at 2 Hz. Determine the…

A: The steel shaft of the rolling mill transmits 20KW at 2 Hz, The torque in the shaft while…

Q: • For the solid shaft shown in the figure, determine the maximum shearing stress. And the twisting…

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

Q: A solid circular shaft with a 2-in diameter is subjected to a vertical shearing force of V= 4 kips.…

A: The given values are - Shear force V=4kips, Diameter d=2 in , Radius R=1 in Maximum shear stress for…

Q: A compound shaft consists of brass segment (1) and aluminum segment (2). Segment (1) is a solid…

Q: The solid steel circular shaft (Figure Q1), known as a stepped shaft, is subjected to torque Ty and…

Q: The shaft consisting of steel and aluminum segments carries the torques T and 3T. Find the largest…

Q: The flanges used in the connection of the two shafts are connected to each other with 6 bolts. The…

A: Given is shaft diameter (ds) = 100 mm Torque (T) = 300 N-m diameter of circle passing through bolt…

Q: A shaft shown in the fig consist of 3-in diameter aluminum segment and 2 in diameter steel segment…

A: Given data: T=10000 lb-in Need to determine the torque in steel (Tst) in terms of torque in aluminum…

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

Q: A stepped shaft ACB having solid circular cross sections with two different diameters is held…

A: Write the given data. In section AC,d1=0.75 inL1=6 inIn section CB,d2=1.50 inL2=15 in

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

Entropy

In physics, entropy means the amount of disorder or the degree of randomness associated with a thermodynamic system. The system is not self-organized when the entropy of the system is high. For instance, when a system is at an elevated temperature, its molecules are in random motion, vibrating and colliding with each other. During this scenario, the probability of finding a molecule at a particular place twice, is low. Under this circumstance, the system can be said to be in a high entropy.

Question

You have 15 minutes for a solution. Please upload in 15 minutes, even if the solution is not finished, no matter where you solve it.

Circular solid ACB shaft is fixed supported between the wall at A and B. If the allowable shear
stress in the shaft is 42 MPa, what is the maximum torque (To) that may be applied at section C?
Let G = 73 GPa.
19 mm
38 mm
B
A
| To
-150 mm-
-380 mm

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

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Trending now

This is a popular solution!

Step by step

Solved in 7 steps

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 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 propeller shaft for a small yacht is made of a solid steel bar 104 mm in diameter. The allowable stress in shear is 48 MPa, and the allowable rate of twist is 2.0° in 3.5 meters. (a) Assuming that the shear modulus of elasticity is G = 80 GPa, determine the maximum torque that can be applied to the shaft. (b) Repeat part (a) if the shaft is now hollow with an inner diameter of 5d18. Compare values to corresponding values from part (a).
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 hollow tube ABCDE constructed of monel metal is subjected to five torques acting in the directions shown in the figure. The magnitudes of the torques are T1= 1000 lb-in., T2= T4= 500 lb-in., and T3= T5= 800 lb-in. The tube has an outside diameter of d2= 1.0 in. The allowable shear stress is 12,000 psi and the allowable rate of twist is 2.0°/ft. Determine the maximum permissible inside diameter d1, of the tube.
A stepped shaft ABC consisting of two solid, circular segments is subjected to torques T}and T2acting in opposite directions, as shown in the figure. The larger segment of the shaft has a diameter of dv- 2.25 in. and a length Lt= 30 in.; the smaller segment has a diameter d2— 1.75 in. and a length L, = 20 in. The torques are T, = 21,000 lb-in. and fz=10.000 lb-in. (a) Find reaction torque TAat support A. (b) Find the internal torque T(x) at two locations: x = L1/2 and x = L1+ L2/2. Show these internal torques on properly drawn free-body diagrams (FBDs).
A thin-walled rectangular tube has uniform thickness t and dimensions a x b to the median line of the cross section (see figure). How does the shear stress in the tube vary with the ratio = a/b if the total length Lmof the median line of the cross section and the torque T remain constant? From your results, show that the shear stress is smallest when the tube is square (ß = 1).
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.
The stepped shaft shown in the figure is required to transmit 600 kW of power at 400 rpm. The shaft has a full quarter-circular fillet, and the smaller diameter D1= 100 mm. If the allowable shear stress at the stress concentration is 100 MPa, at what diameter will this stress be reached? Is this diameter an upper or a lower limit on the value of D2?
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.]
A thin tubular shaft with a circular cross section (see figure) and with inside diameter 100 mm is subjected to a torque of 5000 N · m. If the allowable shear stress is 42 MPa, determine the required wall thickness t by using (a) the approximate theory for a thin-walled tube and (b) the exact torsion theory for a circular bar.
A steel punch consists of two shafts: upper shaft and lower shaft. Assume that the upper shaft has a diameter d1= 24 mm and the bottom shaft has a diameter d2= 16 mm. The punch is used to insert a hole in a 4 mm plate, as shown in the figure. If a force P - 70 kN is required to create the hole, what is the average shear stress in the plate and the average compressive stress in the upper and lower shaft of the punch?
A tubular shaft being designed for use on a construction site must transmit 120 kW at 1,75 Hz, The inside diameter of the shaft is to be one-half of the outside diameter. If the allowable shear stress in the shaft is 45 MPa, what is the minimum required outside diameter d?