Q: For the aluminum shaft shown (G = 27 GPa), determine (a) the torque T that causes an angle of twist of 4, (b) the angle of twist caused by the same torque T in a solid cylindrical shaft of the same length and cross-sectional area. 1.25 m 18 mm 12 mm

Q: For the aluminum shaft shown (G = 27 GPa), determine (a) the torque T that causes an angle of twist of 4, (b) the angle of twist caused by the same torque T in a solid cylindrical shaft of the same length and cross-sectional area. 1.25 m 18 mm 12 mm

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: a) Determine the torque that can be applied to a solid shaft of 80-mm diameter without exceeding an…

A: Given data, a solid shaft d=80mm z=120 MPa. So, τ=Polar…

Q: Determine the angle of twist caused by a 25kip – in torque T in the 3in diameter solid aluminium…

Q: Q5: (a) Determine the torque that can be applied to a solid shaft of 80-mm diameter without…

A: Diameter = 80 mm Shear stress = 120 MPa

Q: 3. A 220-mm-diameter steel shaft have a maximum shearing stress of 12 GPa. Determine the applied…

A: Write the formula for shear stress in the shaft under torsion. τ=16Tπd3 Here, τ is the shear stress…

Q: The aluminum rod AB (G = 27 GPa) is bonded to the brass rod BD (G = 39 GPa). Knowing that portion CD…

Q: Q: For the aluminum shaft shown (G 27 GPa), determine (a) the torque T that causes an angle of twist…

A: Given: G=27 GPad0=18 mmdi=12 mml=1.25 mθ=4°

Q: must transmit the torque of 34 kN-m. The total angle of twist must not exceed 3°. The maximum…

Q: Two solid steel shafts, each 30 mm in diameter, are connected by the gears shown in the figure.…

Q: While a steel shaft of the cross section shown rotates at 110 rpm, a stroboscopic measurement…

A: given datavpm=110 rpmangle of twist=2°length=4mG=77.2 Gpa10 determine:power transmitted

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: L1=1.8 L2=.9 d1=70 d2=53 Compound shaft ACB is fixed at A and consisting of two solid circular…

A: Given data:-diameter, d1=70mm & diameter, d2=53mmLength, L1=1.8m=1800mm &…

Q: (a) Determine the maximum shearing stress caused by a 4.6-kN • m torque T in the 76-mm-diameter…

A: Given dataApplied Torque(τ)=4.6kN.mDiameter of shaft(D)=76 mm=76*10-3mDetermine:-a)Maximum shear…

Q: A hollow shaft's inner diameter is half of its outer diameter D. Show that the maximum torque that…

Q: An aluminum shaft with a constant diameter of 70 mm is loaded by torques applied to gears attached…

Q: The torques shown are exerted on pulleys A and B. Knowing that the shafts are solid and made of…

A: Given Data: The Diameter of shaft AB is D1 = 30 mm. The diameter of the shaft BC is D2 = 46 mm. The…

Q: L1=1.8 L2=.9 d1=70 d2=53 Compound shaft ACB is fixed at A and consisting of two solid circular…

A: Given data:- The length L1 is L1 = 1.8 m. The length L2 is L2 = 0.9 m. The diameter D1 is D1 = 70…

Q: A solid shaft in a rolling mill transmits 30 hp at 100 rpm. Find the diameter in mm of the shaft so…

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

A: following is the solution for the above problem-

Q: circular solid shaft made of vibranium has G=80 Mpa and has a limiting torsional shear stress of 60…

Q: For the assembly of Fig. , knowing that rA= 2rB, determine the angle of rotation of end E of shaft…

A: Given that The relation between the radius is, rA = 2rB. Let TAD be the torque exerted on shaft AD.…

Q: The vertical shaft AD is attached to a fixed base at D and is subjected to the torques shown. A…

Q: 600 N-m Given: A solid aluminum shaft with 900 N-m diameter of 50 mm is loaded by torques as shown.…

Q: Determine the maximum torque that can be applied to a hollow circular steel shaft of 100-mm outside…

A: Data given- Outer diameter do = 100 mm Inner diameter di = 80 mm Shear stress = 60 MPa Twist =…

Q: The electric motor below, exerts a torque of 800 N.m on the steel shaft ABCD when it rotates at…

Q: PROBLEM 3.36 30 mm 30 mm The torques shown are exerted on pulleys B, C, and D. Knowing that the…

A: Given Data G=27 GPa

Q: Knowing that d = 1.2 in., determine the torque T that causes a maxi-mum shearing stress of 7.5 ksi…

Q: A torque T = 40 kip-in. is applied at end A of the composite shaft shown. Knowing that the modulus…

Q: The composite shaft shown consists of a 0.2-in.-thick brass jacket (G = 5.6 × 106 psi) bonded to a…

Q: A solid shaft 2 m. long is stressed 60 MPa when transmitted a power of 50 kW at 2 rev / sec. If G =…

A: Given :- Length, L = 2m Power, P = 50kW Rotational speed, n = 2 rev/s…

Q: A solid shaft 2 m. long is stressed 60 MPa when transmitted a power of 50 kW at 2 rev /…

A: Given: The length of solid shaft, L = 2 m The shear stress in shaft, τ = 60 MPa The transmitted…

Q: Q3: The horizontal shaft AD is attached to a fixed base at D and is subjected to the torques as…

A: To find: The total angle of twist at end A. Given: The modulus of rigidity of the shaft is G=77 GPa.…

Q: For gear-and-shaft system shown, both shafts AB and CD have a diameter of 1.2 in. Pulley A is…

Q: A solid circular shaft is acted upon by the torques as shown. If G= 12, 000 ksi determine: a.…

Q: a) Determine the maximum shearing stress caused by a 40-kip·in. torque T in the 3-in.-diameter solid…

A: Given data as per the question Torque applied in the shaft = 40-kip·in The diameter of shaft =3 in…

Q: A torque of magnitude T= 4 kN·m is applied at end A of the compos-ite shaft shown. Knowing that the…

A: Steel core: c1=12d1=0.027mJ1=π2c41=π2×0.0274=834×10-9 G1J1=834×10-9 ×77.2×109=64.44…

Q: A solid steel shaft will not twist through more than 3 degrees in a 6-m length when subjected torque…

Q: A hollow steel [G = 12,000 ksi] shaft with an outside diameter of 3.50 in. will be subjected to a…

Q: steel shaft is to be manufactured either as a solid circular or as circular tube. The shaft is…

A: → Given Data : T = 1200 N.m z = 40 mPa Q = 0.75 / m G = 78 GPaa) For Solid…

Q: 35 mm 30 mm Steel 2 m Bronze The composite shaft shown is twisted by applying a torque T at end A.…

A: Here, considering the maximum shear stress of the composite shaft is 100 Mpa.

Q: Determine the diameter of a solid steel shaft which will transmit 112.5 kW at 200 rpm. Also…

A: Given data, P= 112.5 kW =112500 W N= 200 rpm. θ=1.5° =0.0261799 rad. τ=55 N/mm² =55000000 N/m²…

Q: Please answer the following

A: Given data DAB=30 mmDBC=46 mmdAB=10 mmdBC=25 mmTAB=10 N·mTBC=20 N·m

Q: (a) Determine the maximum shearing stress caused by a 4.6-kN • m torque T in the 76-mm-diameter…

Q: a) A solid alloy shaft 5cm diameter is to be coupled in series with a hollow steel shaft of the same…

Q: a) Determine the torque that can be applied to a solid shaft of 20-mm diameter without exceeding an…

A: Torque for solid shaft can be determined as

Q: Knowing that the lengths of the shown solid shafts are AB=60mm and BC=80mm, determine the torque Ta…

Q: The composite shaft shown consists of a 0.2-in.-thick brass jacket (Gbrass= 5.6 × 106 psi) bonded to…

A: Given Data: The thickness of the brass jacket is, t=0.2 in. The diameter of the steel core is,…

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

Q: For the aluminum shaft shown (G 27 GPa), determine (a) the torque T that causes an angle
of twist of 4° (b) the angle of twist caused by the same torque T in a solid cylindrical shaft of the same
length and cross-sectional area.
1.25 m
18 mm
12 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

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 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 torque of magnitude T= 100 N·m is applied to shaft AB of the gear train shown. Knowing that the diameters of the three solid shafts are, respectively, dAB= 21 mm, dCD= 30 mm, and dEF= 40 mm, determine the maximum shearing stress in (a) shaft AB, (b) shaft CD, (c) shaft EF.
1. A steel shaft is to be manufactured either as a solid circular or as circular tube. The shaft is required to transmit a torque of 1200 Nm without exceeding an allowable shear stress of 40 MPa, nor an allowable rate of twist of 0.75º/m. For G = 78GPa, determine: a. The required diameter do of the solid shaft.b. The required outer diameter d2 of the hollow shaft if the thickness t of the shaft is specified as one-tenth of the outer diameter.c. The ratio of diameters (that is, the ratio d2/do and the ratio of the weights of the hollow and solid shafts.
A steel shaft must transmit 150 kW at a speed of 360 rpm. Knowing that G = 77.2 GPa, design a solid shaft so that the maximum shearing stress will not exceed 50 MPa and the angle of twist in a 2.8-m length must not exceed 3°. Consider the frequency f to be 6 Hz. The diameter of the solid shaft is -- mm
A 1.5-m-long tubular steel shaft of 38-mm outer diameter d1 is to be made of a steel for which τall = 65 MPa and G = 77.2 GPa. Knowing that the angle of twist must not exceed 4° when the shaft is subjected to a torque of 540 N·m, determine the largest inner diameter d2 that can be specified in the design.
A 1.5-m-long tubular steel shaft of 38-mm outer diameter d1 is to be made of a steel for which τall = 65 MPa and G = 77.2 GPa. Knowing that the angle of twist must not exceed 4° when the shaft is subjected to a torque of 660 N·m, determine the largest inner diameter d2 that can be specified in the design. The largest inner diameter d2 that can be specified is mm.
An aluminum shaft with a constant diameter of 50mm is loaded by torques applied to gears shown. Using G=28GPa, determine the angle of twist of gear D relative to gear A.
Knowing that the internal diameter of the hollow shaft shown is d = 0.9 in., determine the maximum shearing stress caused by a torque of magnitude T = 9 kip·in.
The preliminary design of a motor-to-generator connection calls for the use of a large hollow shaft with inner and outer diameters of 4 in. and 6 in., respectively. Knowing that the allowable shearing stress is 12 ksi, determine the maximum torque that can be transmitted by (a) the shaft as designed, (b) a solid shaft of the same weight, and (c) a hollow shaft of the same weight and an 8-in. outer diameter.
Determine the maximum torque that can be applied to a hollow circular steel shaft of 100mm outer diameter and 80mm inner diameter. The shear stress is limited to 70 MPa, and the angle of twist must not exceed 0.4 degrees in a length of one meter. Use G = 83 GPa for steel.
The stepped shaft shown rotates at 480 rpm. Knowing that r = 0.2 in. and using figure 3.28, determine the largest torque T that can be transmitted without exceeding an allowable shearing stress of 7000 psi.
a) Determine the maximum shearing stress caused by a 40-kip·in. torque T in the 3-in.-diameter solid aluminum shaft shown. (b) Solve part a, assuming that the solid shaft has been replaced by a hollow shaft of the same outer diameter and of 1-in. inner diameter.
Two solid steel shafts, each of 30-mm diameter, are connected by the gears shown. Knowing that G= 77.2 GPa, determine the angle through which end A rotates when a torque of magnitude T=200 N·m is applied at A.