3 An aluminum (shear modulus = 2.8× 1010 Pa) rod is 25 mm in diameter and 50 cm long. One end is rigidly fixed to a support. What torque must be applied to twist the rod 4.5° about its longitudinal axis?

3 An aluminum (shear modulus = 2.8× 1010 Pa) rod is 25 mm in diameter and 50 cm long. One end is rigidly fixed to a support. What torque must be applied to twist the rod 4.5° about its longitudinal axis?

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 rectangular steel block is 4inches long in the x direction, 2inches long in the y direction, and…

Q: 7. A stepped shaft ABCD consisting of solid circular segments is subjected to three torques, as…

Q: A circular bar AB with ends fixed against rotation has a hole extending for half of its length (sec…

Q: The cross-sectional area of the figure below is 0.5 in2. If E = 13 x 106 psi, calculate the total…

Q: A plastic bar of 88 mm is to be twisted by torques T until the angle of rotation between the ends of…

Q: A circular steel tube of length L = 1.0 m is loaded by torques T a) If the inner radius of the tube…

A: a. At inner surface: from the given data, Shear strain,

Q: A flanged bolt coupling consist of 9 steel bolts evenly spaced around a bolt circle 300 mm. in…

A: Coupling : It is a mechanical element which connect the shaft from another also it is used to…

Q: According to a stiffness based design, a solid shaft has a diameter 50mm and the shear modulus of…

A: here, G= 35 Gpa = 35000 Mpa d = 50mm J = pi×d^4/32 mm4 Torsional rigidity = G×J.

Q: A solid steel post having a length of 3m and a diameter of 80 mm is subjected to pure torsion. a)…

A: Answer: (a) The torsional rigidity of the steel post is 321.7 × 109 N•mm2. (b) The torsional…

Q: A hollow shaft with external and internal diameters 100 mm and 75 mm respectively transmits 500 kW…

A: As per given question calculate the shear strain at the inner and outer radii and the modulus of…

Q: A 7.50 cm high annular copper cylinder with an inner radius of 2.00 cm and outer radius cm of 3.75…

A: Given data: L=7.5 cm=75 mm Inner Radius ri=2 cm=20 mm Outer Radius ro=3.75 cm=37.5 mm Tangential…

Q: The cylindrical rod BC, diameter 3.6 mm made of steel supports the AD bar with a distribution of…

A: Given data dBC=3.6mm E=200 GPa

Q: rectangular steel block is 76 mm long in the x direction, 50 mm long in the y direction, and 100 mm…

A: To find : The axial load in the x direction that would produce the same deformation in the y…

Q: Shown below is a torsion bar with a torque applied a distance L1 from one end. Th two ends are fixed…

Q: A circular tube is subjected to torsion by torques T applied at the ends. The bar is 0.75 m long and…

A: The length of the bar is, L=0.75 m The inside diameter of the bar is, d=35 mm The outside diameter…

Q: 11 A rectangular bar section of aluminium alloy has outside dimensions 100 mm x 50 mm, as shown in…

A: As illustrated in the image, a rectangular bar section of aluminium alloy has outer dimensions of…

Q: 3.9 A square steel rod 20 mm on a side develops a tor- sional shear stress of 50 MPa when subjected…

A: Introduction: When the shaft rotates, shear stress is created in the shaft. The shear stress varies…

Q: The shaft of a motor has a length of 15 times its diameter and has a maximum twist of 1.5 degrees…

A: Given: The length of shaft of motor, L = 15d The maximum twist in shaft = 1.5o The torque applied, T…

Q: A heavy-duty helical spring is to be made by wrapping a steel rod 10.6 mm in radius around forming…

Q: A steel hoop. 10 mm thick and 80 mm wide, with inside diameter 1500.0 mm. 5. Is neated and shrunk…

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: A shaft with a length of 2 m has the cross section shown in Figure 1, where a = 4 cm and t = 4 mm.…

A: Torque Torque is a rotational equivalent of linear force. Torsion Torsion is the twisting of an…

Q: A stepped steel shaft shown below is subjecte to 10 N-m torque. If the moduius of rigidity 80 GPa,…

A: Given:Torque, T=10 N-mG=80 GPad1=50 mmd2=25 mmL=100 mm

Q: A hollow aluminum tube used in a roof structure has an outside diameter of 104 mm and an inside…

A: Given data: τ=48 MPaD=104 mmd=82 mmL=2.75 mG=28 GPa Need to determine the angle of twist.

Q: A solid steel post is subjected to pure torsion. Given: -post Diameter = 65 mm -length = 2.75 m…

Q: Low Carbon structural steel has shearing ultimate strength of approximately 45,000 ib/in2 determine…

A: Given: The shearing strength of material = 45000 lb/in^2 The diameter of hole, d = 1 in The…

Q: A steel circular tube is subjected to torsion by torques T applied at the ends as shown below. The…

A: This problem is related to the torsion of the shaft. torsion, when the twisting moment is applied to…

Q: Q- A solid 75-mm-diameter Aluminum [E = 80 GPa and 0.3 Poisson ratio] shaft that is 1.25-m long…

A: DAl=Diameter of Solid Aluminum=75 mmLAl=length of Aluminum shaft=1.25 m DB1=Outside Diameter of…

Q: 200 mm A P 200 mm B 1 P 600 mm 400 mm

A: Write the given values with suitable variables. τmax=45 MPa=45×106 Pado=50 mm=0.05 mdi=40 mm=0.04 m…

Q: A 1 m length of 50 mm diameter steel bar is subjected to a torque of 230 Nm. Calculate the maximum…

Q: Compute the torsional deflection in degrees of a 110 mm diameter, 1.4 meter long shaft subjected to…

A: GIVEN DATA- D=110mm T=3*10^6Nmm G=83000 N/mm2 WE HAVE TO CALCULATE TORSIONAL DEFLECTION IN DEGREE

Q: e 3 m high is fixed at the base. It is 6mm thick and its outside diameter is 300mm. The pole is…

A: Given:h=3 mt=6 mmD=300 mmT=25 kN.mF=3 kNG=78 GPaζallow=60 MPa

Q: A circular tube is subjected to torsion by torques T applied at the ends. The bar is 0.75 m long and…

A: The above question is based on Torsion due to Torque which is applied at the ends.

Q: A cantilever hollow circular bar 5mm thick with inside diameter of 75mm is subjected to a torque of…

A: Given Data: The thickness of the bar is, t=5 mm. The inside diameter of the bar is, d=75 mm. The…

Q: 3. Shafts AB and BC (each 50 mm long) are welded to each other. Shaft AB is hallow with 20 mm inner…

A: Given dataLength of the shaft AB and BC = 50mmShaft AB inner raius ri = 20mmShaft AB outer radius ro…

Q: A brass bar having cross-sectional area of 1000 mm? subjected to axial forces as shown below. Find…

Q: 1.5 Figure 1.9 shows a circular steel rod of length 40 m and diameter 8 mm, which hangs in a mine…

Q: Consider a two-component rod fixed at the left end. The first component (on the left, positioned…

Q: A Steel wire hangs vertically under its weight. What is the greatest length it can have if the…

A: Given:- A Steel wire is hanging vertically under its weight Density of the wire (ρ)= 80 kg/m3…

Q: Consider a hollow steel shaft with a 130 mm outside diameter and a 70 mm inside diameter. What is…

Q: A simple diagram of a driveshaft ABC is shown in Figure 3. The power generated by an engine is…

Q: 3. A hollow aluminium tube used in a roof structure has an outside diameter 104mm and an inside…

A: Given data: Outside diameter of tube is d0 = 104 mm. Inside diameter of tube is di = 82 mm. The…

Q: A circular shaft measuring 3 meters in length with an inner and outer radius of 30 mm and 60 mm…

A: Given data: Length of shaft, L =3 m Inner radius, r1=30 mm = 0.03 m Inner Diameter = 0.06 m Outer…

Q: t (0) is 0.15°/

A: given:γmax=500×10-6 rad

Q: A flanged bolt coupling consist of 9 steel bolts evenly spaced around a bolt circle 300 mm. in…

Q: Consider a bar of cast iron under complex loading. The bar is subjected to a bending moment of M =…

Q: Q-A solid 75-mm-diameter Aluminum [E 80 GPa and 0.3 Poisson ratio] shaft that is 1.25-m long extends…

Q: The shaft assembly is made from a steel tube 1 in. in diameter, which is bonded to a solid brass…

Q: A cylindrical rod of diameter 10 mm and length 1.0 m is fixed at one end. The other end is twisted…

Question

3 An aluminum (shear modulus = 2.8× 1010 Pa) rod is
25 mm in diameter and 50 cm long. One end is rigidly
fixed to a support. What torque must be applied to
twist the rod 4.5° about its longitudinal axis?

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

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

B4 The short concrete cylinder having a diameter of 50 mm is subjected to a torque of 500 Nm and an axial tensile force of 2 kN. Find: 500 Nm 500 Nm A 2kN 2kN (a) the tensile stress in the concrete;
Torsional T is applied to the hollow axis (G=80 GPa). Ewha Womans University, the maximum shear strain is γmax = 640 × 10-6rad Igo, inside andThe outside diameters are 120mm and 150mm, respectively.a. What is the maximum axial strain?b. Maximum axial stress?c. What is the maximum torque (T) meeting the above conditions?
The hollow rod shown below is 2.99 meters long and is subjected to a torque of 988 Nm at end B. The diameter of the rod is 30 mm and has a wall thickness of 5 mm. The shear modulus of the material is 80 GPa, calculate the angle of twist in radians at B. TNm B meters
The copper pipe has an outer diameter of 2.5 in. and an inner diameter of 2.25 in. It is tightly secured to the wall at C and a uniformly distributed torque is applied to it as shown.(Figure 1) Points A and B lie on the pipe's outer surface. Figure C B |--M 2 ft V 150 lb-ft/ft. TIM A 2 ft V -- < 1 of 1 Determine the shear stress at point A. Express your answer to three significant figures and include appropriate units. TA = ΤΑ Submit Part B O — μA 4 TB = Value Units Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining μA P Determine the shear stress at point B. Express your answer to three significant figures and include appropriate units. Value Units ? www ? Submit Previous Answers Request Answer
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
Bearing stress 4. Please provide proper discussion and illustration also complete solution and clear solution please thank you Determine the length of a square key to be used for a 3.73 kW, 1800 rpm electric motor if the motor shaft diameter is 35 mm and the width of the key is approximately one-fourth of the shaft diameter. The allowable shearing stress on the key is 2.45 MPa
The copper pipe (G= 50 GPa) is tightly secured to the wall at A, has an outer diameter of 40 mm and an inner diameter of 37 mm, and subjected to three torques as shown in Figure 5. Determine the absolute maximum shear stress developed in the pipe and plot the variation of shear stress through the pipe wall. (i) (ii) Produce a graphical plot of the variation of angle of twist from end A to the free end (wind-up diagram) if the distances between the applied torques is equal at 300 mm. 80 N.m 20 N·m Figure 5 30 N.m
The diameter of and LcD = 240 mm. 1. The lengths LAB = LBC = 200 mm parts AB and CD of the bar is 25 mm and the diameter of part BC is 50 mm. The shear modulus of the material is G = 80 GPa. If the torque T = 2.2 kN- m, determine the magnitude of the angle of twist of the right end of the bar relative to the wall in degrees. 4 kN-m 8 kN-m LAB. LBC. 2. The lengths LAB = LBC = 200 mm and LCD = 240 mm. The diameter of parts AB and CD of the bar is 25 mm and the diameter of part BC is 50 mm. The shear modulus of the material is G = 80 GPa. What value of the torque T would cause the angle of twist of the right end of the bar relative to the wall to be zero? 4 kN-m 8 kN-m LAB. T LBC
A solid steel post is subjected to pure torsion. Given: -post Diameter = 65 mm -length = 2.75 m -torque = 2.4 kN-m -shear Modulus of Elasticity = 78 GPa Question: What is the Angle of Twist in degrees?
A 3-m long thin-walled tube has an equilateral triangular cross-section with a constant thickness of 10 mm. If each side of the triangle is 200 mm measured at the median line and the applied torque is 40 kN-m, what is the angle of twist in degrees? (Use G=70 GPa) (Round your answer to 3 decimal places)
2. A shaft is designed to carry torque as shown below. The shaft consists of a steel rod which is fixed against rotation at both ends. In addition, the left half of the rod is well bonded to an aluminum sleeve. The assembly is loaded by a torque of 2000 N-m as shown. - The steel rod has shear modulus G = 80 GPa and radius r= 1.5 cm (hence polar moment of inertia Ip = 7.95 x 108 m². The aluminum sleeve has shear modulus G = 26 GPa, outer radius 2.6 cm and inner radius 1.5 cm (hence polar moment of inertia I, = 7.95 x 108 m²). 2000 N sleeve -0.57 rod a. Calculate the total reaction torques at the two walls (points A and C). b. Calculate the maximum shear stresses in the steel rod and the aluminum sleeve. c. Calculate the angle of twist at point B.
4. As shown below, the prosthesis is made of two parts a core (Ge=150 ksi) and a tube (G=85 ksi). The prostheses is under torsional torque of 15 lbf.in due to foot movement. a) Determine the maximum torsional stresses in the core and tube. b) Determine the angle of twist 15 Ibf.in 15 lbf.in 15in Diameter 1.5 in Diameter 1in 15 Ibf.in (Answer: a)t, = 23.13 psi; t = 19.67 psi b) = 0.0046 rad)