Find out the outer diameter of the hollow shaft, if the allowable shear stress induced in it is 53MPa and the permissible value of Torque in it is 2000Nm. Take the value of k to be 0.6 k = the ratio of inner diameter to outer diameter.

Find out the outer diameter of the hollow shaft, if the allowable shear stress induced in it is 53MPa and the permissible value of Torque in it is 2000Nm. Take the value of k to be 0.6 k = the ratio of inner diameter to outer diameter.

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 3.11.13P: A thin-walled rectangular tube has uniform thickness t and dimensions a x b to the median line of...

See similar textbooks

Related questions

Q: The solid-circular member AC, having a diameter D and a shear modulus of 69 GPa, is subjected to the…

A: Given data: - The torque at point A is TA = 2T. The torque at point B is TB = 3T. The allowable…

Q: A solid 1.750-in.-diameter steel shaft is subjected to torques TB = 290 lb-ft and Tp= 100 lb-ft,…

Q: A tubular steel shaft transmits a power of P = 450 hp at a speed of 3000 rpm. Determine the maximum…

Q: 2. A tube is made of aluminum (G = 24 GPa ) and has a rectangular cross section as shown in figure.…

Q: 4) Shafts with lengths 5m and 4 m are connected by gears. The diameter and shear modulus for both…

A: Given, Lengths of the shafts , 5 m and 4 m. Diameter of the shafts , d = 10cm Shear modulus of the…

Q: Q2/ A hollow shaft has to transmit 6MW at 150rev/min. The maximum allowable stress is not to exceed…

Q: The internal loadings at a critical section along the steel drive shaft of a ship are calculated to…

A: Given data: The torque, T = 2300 lb-ft. The bending moment, M = 1500 lb-ft. The axial trust, P =…

Q: a hollow shaft for a rotary compressor is to be designed to transmit maximum torque of 4750 n-m. the…

A: Given Data⇒ Hollow shaft Maximum torque : Tmax=4750 N-m Shear stress in shaft : ζ=50 Mpaζ=50×106Pa…

Q: The solid-circular member AC, having a diameter D and a shear modulus of 69 GPa, is subjected to the…

Q: A 50 mm diameter shaft is transmitting a power of 142.8 HP and is turning at 900 rpm. The shaft is…

A: given data ; diameter = 50 mmpower = 142.8 HP = 142.8 * 746 Wrpm = 900 rpmbending stress =…

Q: A shaft is made of an aluminum alloy having allowable shear stress of tallow = 100 MPa. If the…

A: Given Allowable shear stress = 100 MPa Diameter of shaft = 100 mm To find Maximum torque at 75 mm

Q: Determine the maximum shear stress of the given shaft in MPa if a T= 10kNm torque is applied to it;…

A: Given, Torque applied on shaft = T = 10 kNm = 10 x 106 Nmm Diameter of shaft = D = 75 mm Length of…

Q: The brass wire has a triangular cross section, 2 mm on a side. If the yield stress for brass is tY =…

A: Given Data: Side of triangular section is a =2 mm. Yield stress of shear is tY = 205 MPa. Length of…

Q: An aluminum shaft of two segments is shown below. Determine the allowable torque if the shear stress…

A: Given Data Diameter of bar AB is : d1=90 mm Diameter of bar BC is : d2=60 mm Allowable stress is :…

Q: A solid 1.500-in.-diameter steel shaft is subjected to torques TB = 255 lb-ft and TD= 95 lb-ft,…

Q: A hollow steel shaft with an outside diameter of 90 mm and a wall thickness of 10 mm is subjected to…

Q: A hollow steel shaft with an outside diameter of 64 mm and a wall thickness of 5 mm is subjected to…

Q: A hollow steel shaft is stressed to 55 MPa by a torque of 135600Nm. Determine the outside diameter…

A: Given data: τ=55 MPaT=135600 N.md=23DG=83 GPa Need to determine the outside diameter.

Q: 2. A tube is made of aluminum ( G = 24 GPa ) and has a rectangular cross section as shown in figure.…

Q: Two shafts, one of steel and the other of phosphor bronze, are of the same length and are subjected…

A: Answer: (a) The diameter of the phosphor-bronze shaft is 28.12 mm. (b) The ratio of the maximum…

Q: A hollow shaft for a rotary compressor is to be designed to transmit a maximum torque of 4750 N-m.…

Q: A compound shaft consists of two pipe segments. Segment (1) has an outside diameter of 12.25 in. and…

Q: A hollow shaft for marine applications has outer and inner diameters of 400 mm and 200 mm…

Q: The steel shaft is formed by attaching a hollow shaft to a solid shaft. Determine the maximum torque…

Q: If the internal torque experienced by a hollow brass shaft (G = 39 GPa) at a section with diameter d…

Q: Find the diameter of the propeller shaft, which has to transmit power of 1.5 kW at 8 Hz without…

Q: A solid shaft with a diameter of 20 mm is shown below. The shaft is fixed at points A and B. In the…

A: As per given question question a) Draw a torque diagram for this shaft. b) Determine the maximum…

Q: If a = 25 mm and b = 15 mm, determine the maximum shear stress in the circular and elliptical shafts…

A: Given: a=25 mm b= 15 mm T = 80 Nm To determine: The maximum shear stress in the circular and…

Q: Determine the torque that can be transmitted by this shaft. D = 120 mm d = 80 mm L = 3 m Modulus of…

A: outside dia (D) = 120 mm = 0.120 m inside dia (d) = 80 mm = 0.08 m length (L) = 3 m modulus of…

Q: A solid circular steel shaft having an outside diameter of 2.25 in. is subjected to a pure torque of…

Q: Let's consider a solid circular shaft subjected to the torque loads as shown. Determine the minimum…

Q: Design a suitable diameter for a circular shaft required to transmit 90 kW at 180 r.p.m. The shear…

A: GIVEN DATA- MAXIMUM SHEAR STRESS = 70MPa POWER P=90KW SPEED N=180 r.p.m. MAXIMUM TORQUE = 140% OF…

Q: If the internal torque experienced by a solid brass shaft (G =39 GPa) with radius r=50 mm is T = 12…

A: Consider a twisting moment T is applied to a shaft having radius R. Then, torsional shear stress…

Q: 2) The minimum outer diameter required for a hollow shaft if the shaft inner stress of tallow= 75…

Q: The hollow circular shaft is subjected to an internal torque of T = 7.9 kN.m. If ri = 27 mm and r, =…

A: Maximum shear stress The highest shear stress in a compact region is the highest concentrated shear…

Q: Problem 1

A: Due to the torques at point B, C, D, E, and G, there exists a reaction torque at point A.Sign…

Q: A hollow circular shaft is required to transmit 300 metric horsepower at 200 r.p.m. The maximum…

A: Given data

Q: Determine the torque that can be transmitted by this shaft. D = 120 mm Outer diameter, Inside…

Q: For a given maximum average shear stress, determine the factor by which the torque-carrying capacity…

A: The mean area without reversed position Am=(1.10)1.75-π(0.55)22=1.4498 in2 The mean area at reversed…

Q: A motor driving a solid circular steel shaft transmits 50kW of power at 600rpm. If the diameter of…

A: Given data: Diameter of solid shaft = D = 50 mm = 0.05 m Speed of rotation = N = 600 rpm Power…

Q: Determine the resulting minimum shear stress. Also determine the resulting maximum shear stress.

Q: The bar has a circular cross section with 1-in diameter. If the torque TO = 1000 in-lb, determine…

Q: A 50-mm diameter solid shaft, with a length of 1 meter, is supported at one end and free in the…

Q: a solid shaft is transmitting 1 mw at 240 rpm determine the daimeter of shaft exceed the mean of…

A: Shear stress produced by torque vary from zero at center of cross-section to maximum at surface in…

Q: A compound shaft consists of two pipe segments. Segment (1) has an outside diameter of 12.25 in. and…

A: Given data: d1o=12.25 int1=0.365 ind2o=5.5 int2=0.28 inTB=69 kip-ftTC=12 kip-ft Need to determine…

Q: Determine the diameters of a hollow shaf

Q: The shaft consists of three concentric tubes, each made from the same material and having inner and…

A: Given, Torque, T=800N.m For Inner tube: ri= 20mm, ro= 25 mm. For Center tube: ri= 26 mm, ro = 30 mm.…

Q: Consider two steel shafts CFG and HJ of diameters 50 mm and 70 mm respectively as shown in fig. The…

Question

Find out the outer diameter of the hollow shaft, if the allowable shear stress induced in it is 53MPa and the permissible value of Torque in it is 2000Nm. Take the value of k to be 0.6

k = the ratio of inner diameter to outer diameter.

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

VIEW

Step 2

VIEW

Step by step

Solved in 2 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 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).
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
The dimensions of a stepped shaft are shown below. The maximum shear stress specification of the material is 67.1 MPa. Calculate the allowable torque for the shaft. r= 2.4 mm 12 mm 15 mm
An automobile engine develops a maximum torque of 162Nm. The low gear ratio of transmission is 2.75, while the back axle ratio is 4.25. The effective wheels radius is 0.325m and the co-efficient of friction between the tyre and the road surface is 0.6. If the permissible shear stress is 32373 X 104Pa. Determine the maximum shaft diameter. Assuming that the load is nearly torsional. What is maximum load permissible on each wheel?
Steel bar whose length of 1.31 m and a radius of 13 mm is subjected to torque which produce a shear. If the angle of twist is 30° and shear modulus of 203 GPa. Determine the torque applied.
A hollow steel shaft is stressed to 55 MPa by a torque of 135600Nm. Determine the outside diameter in mm if the inside diameter is 2/3 of the outside diameter and G = 83 GPa.
A solid shaft of 150 mm diameter is used to transmit torque. Find the maximum torque transmitted by the shaft if the maximum shear stress induced to the shaft is 45 N/mm2
A hollow steel shaft is stressed to 35 MPa by a torque of 200000Nm. Determine the outside diameter in mm if the inside diameter is 2/3 of the outside diameter both in mm.
A steel core is bonded firmly to the copper tube (shell) to form the shaft shown. The length of the shaft is 450 mm and the end A is fixed to the wall. Take the shear modulus of steel and copper as 76 GPa and 38 GPa, respectively. The diameter of the core is 60 mm and the outer diameter of the shaft is 100 mm. Determine the maximum external torque (Tmax) so that the absolute maximum shear stress for any point H on the surface of the copper shell does not exceed 50 MPa. 450 mm A 100 mm 60 mm В Tmax =? kN · m
A hollow circular steel shaft with an outside diameter of 2.569. and a wall thickness of 0.388 in. is subjected to a pure torque of 292 lb-ft. The shaft is 124 in. long. The shear modulus of the steel is G-12.000 ksi. Determine the magnitude of the angle of twist in the shaft. 1. T B
The solid-circular member AC, having a diameter D and a shear modulus of 69 GPa, is subjected to the torques 2T and 3T at points A and B, respectively. If Tallow = 35 MPa and (OA/c)allow =2°. detemine the maximum pemissible value of the torque T. Use the table given below and your student ID to find the values of L1, L2, and D. B A 3T 2T Student L1 (m) L2 (m) D ID (mm) 1131731 1 0.6 78
The mean dimensions of the cross-section of the leading edge and torsion box of an airplane wing can be approximated as shown. If the wing is made of 2014-T6 (G = 19 GPa) aluminum alloy having an allowable shear stress of Tallow = 158 MPa, and the wall thickness is 12 mm. Determine the maximum allowable torque and the corresponding angle of twist per meter length of the wing.