Part 1.A composite assembly of length, L-375 mm, consisting of a steel (G-77 GPa) core (2) connected by rigid plates at the ends of analuminum [G-35 GPa) tube (1) is shown. The aluminum tube has outside diameter D₁ - 50 mm and inside diameter d₁-30 mm.= 100 MPa, and theThe solid steel core has diameter d₂-25 mm. The allowable shear stress of aluminum tube (1) is (rallow)allowable shear stress of steel core (2) is (Tallow)2= 135 MPa. Determine(a) the allowable torque T that can be applied to the composite shaft.(b) the corresponding torques produced in tube (1) and core (2).(c) the angle of twist produced by the allowable torque T.TD₁LCalculate the polar moment of inertia, J₁, of the aluminum tube.Answer: J₁(106) mm².

Introduction: When two shafts having variation in diameters are joined together to form one shaft,…

A composite assembly of length, L-375 mm, consisting of a steel (G-77 GPa) core (2) connected by rigid plates at the ends of an aluminum [G-35 GPa) tube (1) is shown. The aluminum tube has outside diameter D₁-50 mm and inside diameter d₁-30 mm. The solid steel core has diameter d₂-25 mm. The allowable shear stress of aluminum tube (1) is (rallow); = 100 MPa, and the allowable shear stress of steel core (2) is (Falkow)2= 135 MPa. Determine (a) the allowable torque T that can be applied to the composite shaft. (b) the corresponding torques produced in tube (1) and core (2). (c) the angle of twist produced by the allowable torque T. T di D₁ B Calculate the polar moment of inertia, J₁, of the aluminum tube. Answer: J₁ (106) mm.

A composite assembly of length, L-375 mm, consisting of a steel (G-77 GPa) core (2) connected by rigid plates at the ends of an aluminum [G-35 GPa) tube (1) is shown. The aluminum tube has outside diameter D₁-50 mm and inside diameter d₁-30 mm. The solid steel core has diameter d₂-25 mm. The allowable shear stress of aluminum tube (1) is (rallow); = 100 MPa, and the allowable shear stress of steel core (2) is (Falkow)2= 135 MPa. Determine (a) the allowable torque T that can be applied to the composite shaft. (b) the corresponding torques produced in tube (1) and core (2). (c) the angle of twist produced by the allowable torque T. T di D₁ B Calculate the polar moment of inertia, J₁, of the aluminum tube. Answer: J₁ (106) 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: Links (1) and (2) support rigid bar ABCD shown in the figure. Link (1) is bronze [E = 15,200 ksi]…

Q: The pin-connectsed structure consists of a rigid bar ABCD and two bronze alloy [E = 100 GPa] bares,…

A: GivenE=100GPaA=340mm2L1=810mmL2=1080mma=480mmb=38mmc=600mmσlim=165MPa

Q: Two steel tubes are joined at B byfour pins (dp = 11 mm), as shownin the cross-section a-a in…

A: given: the diameter of pin, dp = 11 mm the outer diameter of tubes dAB =40 mm the outer diameter of…

Q: A composite assembly of length, L= 350 mm, consisting of a steel [G- 77 GPa) core (2) connected by…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: A simple torsion-bar spring is shown. The shear stress in the steel [G= 11,500 ksi] shaft is not to…

Q: A diagonal aluminum alloy tension rod of diameter d and initial length / is used in a rectangular…

A: We have to determine Deformation of aluminum rod

Q: (5) A homogeneous 800-kg bar AB is supported at either end by a cable as shown in the figure.…

Q: The solid shaft shown in the figure below is fixed at one end and has a lever at the other. The…

Q: A steel bar with a diameter of 100 mm is rigidly attached to the wall and carries the loads shown in…

A: Given: The diameter of shaft, d = 100 mm = 0.1 m The torque acting on the shaft, T = 8 kN.m The load…

Q: 3. As in the figure, a ship can move both with the wind and with a diesel engine. your ship The mast…

Q: The rectangular bar is connected to the support bracket with a circular pin, as shown in the figure.…

A: Bar width, w= 2.25 in Bar thickness, t= 0.375 in Pin diameter, d= 0.775 in Applied load, P= 4800 lb…

Q: 2- Determine the nodal displacements and the element stresses for the thin plate with a uniform…

A: Find outDetermine the nodal displacement and the element stresses for the thin plate.GivenYoung's…

Q: 1. A brass shell is fully bonded to a steel core; the cross-sectional dimensions of the shell and…

Q: Complete answer

A: Given Data: Diameter of OB and AB (D) = 100 mm = 0.1 m Radius of disc (r) = 0.5 m Allowable normal…

Q: Rigid bar BC is supported by aluminum rod (1) and bronze rod (2), as shown in the figure. Aluminum…

Q: A 100mm diameter steel shaft is loaded as indicated in the figure. Determine the angle of twist of…

A: find angle of twist of pulley D with respect to A and shear stress in each section.

Q: A rigid plate (AC) is connected to flat steel bars by pins at A and B. The horizontal flat steel bar…

A: A rigid plate (AC) is connected to flat steel bars by pins at A and B. The horizontal flat steel bar…

Q: Calculate the total deformation of steelbars shown in Figure. (d1=1A mm, d2=2A mm and E=210 GPa)…

A: Given, A=5B=3C=8d1=1A mm=1×5 mm=5 mm=5×10-3 md2=2A mm=2×5 mm=10 mm=10×10-3 m E=210 GPa=210×109 Pa…

Q: A 0.5 m-long metal composite shaft AB consists of a steel rod (radius r=25 mm), the outer surface of…

A: Answer and explanation are given below.Explanation: Please let me know if there are any further…

Q: A motorcycle's clutch hand lever is designed to receive a load from the rider's finger of 50 N at…

A: &#x3C3;=F&#x200B;A" data-mce-style="display: inline-block; line-height: 0; text-indent: 0px;…

Q: Prob. 4.3-1. A bimetallic torsion bar consists of a steel core (G, = 75 GPa) of diameter d bonded a…

A: Given Data: Shear stress in steel, τ=50 MPa

Concept explainers

Pressure Vessels

The term pressure vessel refers to a closed container that contains gas or liquid at a different pressure than environment pressure. The pressure vessels have a wide scale of applications in our day-to-day lives and other industrial places. Some common examples of pressure vessels are gas cylinders, autoclaves, compressor vessels, etc.

Question

Part 1.
A composite assembly of length, L-375 mm, consisting of a steel (G-77 GPa) core (2) connected by rigid plates at the ends of an
aluminum [G-35 GPa) tube (1) is shown. The aluminum tube has outside diameter D₁ - 50 mm and inside diameter d₁-30 mm.
= 100 MPa, and the
The solid steel core has diameter d₂-25 mm. The allowable shear stress of aluminum tube (1) is (rallow)
allowable shear stress of steel core (2) is (Tallow)2= 135 MPa. Determine
(a) the allowable torque T that can be applied to the composite shaft.
(b) the corresponding torques produced in tube (1) and core (2).
(c) the angle of twist produced by the allowable torque T.
T
D₁
L
Calculate the polar moment of inertia, J₁, of the aluminum tube.
Answer: J₁
(106) mm².

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

Trending now

This is a popular solution!

Step by step

Solved in 4 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

In the structure shown below (Figure 3), two forces of equal magnitude (P) are applied along the horizonal and vertical directions at point C. The beams are connected by pins at A, B and D. The pins A, B and D have diameters of 8 mm, 12 mm, and 14 mm, respectively. The failure stress for all the pins is Tfail=120 MPa and the failure stress for the bars between B-D is o fail =300 MPa. Assume that the beam ABC does not fail. Find the value of P such that the factor of safety (F.S.) for this structure equals 3. 8 mm- Top view -200 mm- D B B -180 mm 20 mm Front view 12 mm C P + P 8 mm 12 mm B Side view -8 mm D
r2, E, , E L2 Two aluminum circular shafts (E=70GPA) are mounted according to the figure. The two shafts have the following dimensions: r1 = 6.9mm r2 = 11.1mm L1= 1.52m L2 = 1.29m. If the load applied is P = 2.1 kN, what is the displacement at the point of application of P in mm (accuracy of 5%)?
A simple torsion-bar spring is shown. The shear stress in the steel [G= 11,500 ksi] shaft is not to exceed 10800 psi, and the vertical deflection of joint D is not to exceed 0.425 in. when a load of P = 3100 lb is applied. Neglect the bending of the shaft and assume that the bearing at C allows the shaft to rotate freely. Determine the minimum diameter required for the shaft. Use dimensions of a = 84 in., b = 32 in., and c = 36 in. Part 1 Answer: T = a i D P B Calculate the torque being applied to the shaft at point B. b C lb-in
An angled strut b = 6.2 in. thick is subjected to a force F = 55 kip and a uniformly distributed load q = 23.5 kip/ft as shown below. Determine the principal stresses at points A, B, and C. (op1) A = (0₂2) A = (pl) B = (p2)B= (pl) c = (p2) c = = 15 in. 10 in. number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) F 12.5 in. -7.5 in.- -12.5 in. ksi ksi ksi ksi ksi ksi q
provide a clear and detailed answer
Parvinbhai
4. For an element subjected to stresses of x= 70 ksi y=-15 ksi xy=30 ksi SAH: (a) Draw Mohr's circle (b) Calculate the value of the principal stresses
please answer quickly
A 28mm diameter steel shaft AB is built into a rigid wall at A and supported by a smooth bearing at B. The lever BC is welded to the end of the shaft. Load P 360 newton is applied as shown in the figure below. Determine the maximum shear stress and the angle of twist if the distance from A to B is 3 meters and the distance from B to C is .3 meters
A steel shaft BCD (G=80 GPa) of total length 3 m is encased for 1/3 of its length by a bronze sleeve ABC (G=41 GPa) that is securely bonded to the steel. The diameter of the steel is 60 mm while the outer diameter of the bronze is 80 mm. a. What is the maximum allowable torque in gear A if the allowable shear stresses in the steel and bronze are limited to 110 MPa and 70 MPa, respectively; and the angle of twist between A and D is limited to 9o? b. What power is supplied by the motor that corresponds to the computed torque at A if shaft EF rotates at 200 rpm? The diameter of gear E is 60 mm while gear D has a diameter of 100 mm.
A hydraulic cylinder with a bore radius of 100 mm and an outer radius of 200 mm has been designed to withstand a maximum internal pressure of 200 MPa in service. During operation, the pressure within the cylinder is retained by a freely sliding piston. The steel used in the manufacture has Young's modulus of 210 GNm-². Note: There is no axial stress generated in the cylinder wall in this application. 1. Elastic Stress Distributions in a Single Cylinder a) At an operating pressure of 200 MPa, calculate using Lame's equations the radial and circumferential stresses at the cylinder bore and the outer surface. b) For the same operating pressure, calculate the maximum shear stress values at the cylinder bore and the outer surface. Hint: For axisymmetric problems, there are no shear stresses generated on the faces of a radial element in the cylinder wall. Therefore, der, and oz are (also) the Principal stresses. (Please refer to Stress Transformation). c) Verify the values of the maximum…
this is about thermal stress