A steel rod of 30 mm diameter is inserted in a copper tube of external diameter 45 mm and an internal diameter of 37 mm carries a load of W =1750kN. The length of this compound bar is 180 mm. If, ES= 2 × 105 N/mm2and ECu= 1 × 105 N/mm2, calculate the stresses developed in copper and steel.

A steel rod of 30 mm diameter is inserted in a copper tube of external diameter 45 mm and an internal diameter of 37 mm carries a load of W =1750kN. The length of this compound bar is 180 mm. If, ES= 2 × 105 N/mm2and ECu= 1 × 105 N/mm2, calculate the stresses developed in copper and steel.

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter6: Introduction To Mechanical Properties

Section: Chapter Questions

Problem 6.2DP

See similar textbooks

Related questions

Q: (a) Figure Q2 shows a steel bar held between two rigid supports. The bar has a cross sectional area…

A: Given: A=0.25 m2P=3×106 NE=210 GPaα=12×10-6 K-1

Q: An aluminum block show in Figure 9 is subjected to uniform pressure on all faces. If the chang ein…

Q: The stresses shown in the figure act at a point on the free surface of a machine component. If o =…

A: Given Stress in X direction for inclined plane = 31 Mpa

Q: The figure below shows a shaft of three segments. It is restrained (fixed support) at both sides and…

A: To determine the maximum shear stress in Aluminum

Q: A 2-m long steel rod, 10-mm in diameter, is carrying a load of 20 kN. (a) what is the axial stress…

A: This question is related to the Strength of material. In this question we calculate axial stress and…

Q: Given that a steel cyInder of dimenslons 12.0 mm in dlameter and 70 mm bng is subjected to tensicn.…

A: a) According to Hook's law within the elastic limit, stress is directly proportional to strain.…

Q: At a temperature of 23.1 °C a 0.43-mm gap exists between the ends of the rods shown. At a later time…

A: Determine normal stress in steel rod?

Q: Bronze A = 300mm? 2.00 m E = 83 GPa Steel 1.00 m A = 600mm? E = 200 GPa A 0.60m 1.00 m 1.00m ΜN kN

Q: As shown, three steel wires, each 27 mm2 in area, are used to lift a mass M. Their unstretched…

Q: Problem 1 A bar obtained by bonding together pieces of aluminum (E, = 70 GPa) and brass (E, = 105…

A: We have to determine the value of largest moment M that can be applied about the horizontal axis…

Q: In shown figure the aluminum is subjected to a thermal stress where T1 is 21.957 deg. C and T2 is…

Q: Consider a 1 m-long bar of 2024-T81 aluminum alloy with a 20mm-diameter and the following property…

Q: Three rods, cach of area 250 mm2. jointly support a 7.5 kN load, as shown in Figure below. Find the…

A: My dear Given data Total hanging load Two types of materials. Area of cross section Youngs modulus…

Q: Determine strain in rod Initial length=400 mm Change in length=5 mm

A: Given data : Change in length=5 mmInitial length=400 mm

Q: A square plate of width o and thickness t is loaded by normal forces P, and Py, and by shear forces…

Q: A 220 mm? steel rod and 420 mm? copper rod supports a rigid bar as shown. If a 30 kN load is…

Q: 1) A circular aluminum tube of length L = 400 mm is loaded in compression by forces P (see figure).…

A: Note:- Hi! Thank you for the question As per the honor code, We’ll answer the first question since…

Q: The rigid bar of negligible weight is supported as shown in figure 5. If W = 80 kN. compute the…

A: Draw the free body diagram.

Q: As shown, three steel wires, each 26 mm in area, are used to lift a mass M. Their unstretched…

Q: Unit for strain is 2 O a. N/mm 3 O b. mm O c. mm O d. No unit

A: Finding out unit of strain.

Q: Q2\ A compound bar consisting of bronze, aluminum, and steel segments is loaded axially as shown in…

A: When the deviation exceeds the maximum allowable value, the amount of radiation obtained on the…

Q: Figure 5 shows a steel rod of 200 mm length (L) with modulus of elasticity, E = 200 GPa and…

Q: For the punching operation shown in the figure, compute the shear stress in the material if a force…

Q: A cylindrical piece of steel 80 mm dia and 120 mm long is subjected to an axial compressive force of…

Q: Example 10.6 A railway wagon moving at a velocity of 1.5 m/s is brought to rest by a bumper…

A: We are authorized to answer three subparts at a time, since you have not mentioned which subparts…

Q: The stresses shown in the figure act at a point on the free surface of a machine component. If o= 45…

Q: PROBLEM 4: As shown in the diagram shown, there is a gap of 0.5 mm between the rods at 10°C.…

Q: A compound bar consisting of bronze, aluminum, and steel segments is loaded axially as shown in the…

Q: As shown, three steel wires, each 29 mm2 in area, are used to lift a mass M. Their unstretched…

Q: A beam shown below, 200mm wide by 350mm deep, is loaded as shown in figure below. Determine the…

A: Given overhang beam with loading and asked to calculate shear stress below 50 mm from top fibre at…

Q: A wood beam carries the loading shown in the figure. Determine the smallest allowable width b of the…

A: Ultimate stress is the safest stress taken within elastic limit. It is the ratio of ultimate stress…

Q: Determine the maximum tensile strength of the steel bar described by the following data Initial…

Q: Determine stress in rod Load=1000 N Area=5 mm2

A: Given data : Load (P)=1000 NArea (A)=5 mm2

Q: One aluminium rod joint together with steel and bronze rods loaded with axial load as shown in…

A: The free body diagram of steel beam is shown below.

Q: 35 MPa 14.6 ksi 25 MPa 9.3 ksi 75° 650 7.4 ksi FIGURE P12.7 FIGURE P12.8

A: Given Details:

Q: SITUATION. As shown in the figure below, a rigid bar with negligible mass is pinned at O and…

Q: Figure shown is a bar composed of different materials - Aluminum and Steel attached to rigid…

Q: A 1-m long steel bar (E = 200 GPa) of 10 x10 mm dimension fixed at one end and free at the other end…

A: Given:- A 1-m long steel bar (E = 200 GPa) of 10 x10 mm dimension fixed at one end and free at the…

Q: A steel bar 2.4 m long and 30mm square is elongated by a load 500kN. If passion's ratio is 0.25 and…

A: Given: The length of the square bar is 2.4 m. The side of the square is 30 mm. The load is 500 kN.…

Q: PROBLEM O1: A loadP compresses the bronze core, brass, and steel shell as shown in the figure, which…

Q: A 20 KN weight is suspended by two wires as shown in the figure. The length of each wire is 2 meter.…

Q: Determine the stress in each section of the bar shown in the Figure when subjected to an axial…

Q: A brass bar is fastened between a steel bar and an aluminum bar as shown in the figure. Axial loads…

Q: 1. Find: (a) the stress in the Steel and Ahuminium rods after the loap P applied and the temprature…

A: Total stress acting on the rods is equal to the sum of stress due to load P and the stress caused…

Q: 320 MPa 12.5 ksi 55 50° 190 MPa 21.0 ksi FIGURE P12.3 FIGURE P12.4

A: Given Details

Q: a) 128.5 GPa A circular rod of diameter 30 mm and length 200 mm is subjected to a tensile force. The…

A: Given, Diameter of the rod = D= 30mm Length= L= 200mm Change in length, ∆L= 0.09 Change in diameter,…

Q: Three rods, each of area 250 mm2, jointly support a 7.5 kN load, as shown in Figure below. Find the…

Q: Problem 2: A rigid bar AB as shown in Figure SM – 011 is supported by two vertical rods. The bar AB…

A: ASKED: To determine- value of 'x' for which the axial stress in rods at A and B is equal stress in…

Q: Based on the figure below, a steel rod was fitted on the copper tube and was fixed with a washers…

Q: Determine the total deformation of a tapered bar with a thickness (t = 25 mm) as shown in the…

Question

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

Step 2

Step 3

Step 4

Step 5

Step 6

Step by step

Solved in 6 steps with 8 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, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

Compare the engineering and true secant elastic moduli for the natural rubber in Example Problem 6.2 at an engineering strain of 6.0. Assume that the deformation is all elastic.
A rigid beam rest on two bronze bars 700mm long. Another aluminum bar is placed between them which is 699.93mm long. If the weight of the beam is 375KN, determine the stress in the aluminum bar in MPa. (Round your answer to 3 decimal places) (Exclude your unit in the answer box)
A 2-m long steel rod, 10-mm in diameter, is carrying a load of 20 kN. (a) what is the axial stress developed in the rod, in kN/m^2. Is the tensile or compressive? (b) compute the amount of elongation (in mm) in the steel rod caused by the applied load, (c) what will be the elongation (in mm) in the steel rod if the weight of the steel rod is included? Use density of the steel to be 7860 kg/m^3. Young's modulus of elasticity, E=200GPa. W=mg. Draw free body diagram of the steel rod.
As shown, three steel wires, each 29 mm2 in area, are used to lift a mass M. Their unstretched lengths are 19.99 m, 19.98 m, and 20 m. If M= 1,200 kg. what stress exists in the MIDDLE wire? Use E= 215 Gpa. Answer must be in MPa.
A circular bar of magnesium alloy is 750mm long. The stress-strain diagram for the material is shown in the figure. The bar is loaded in tension to an elongation of 6.0mm, and then the load is removed. (a)What is the permanent set of the bar? (b)If the bar is reloaded, what is the proportional limit? (High: Use the concepts illustrated in figures below)
SHOW COMPLETE ANSWER AND ILLUSTRATION FINAL ANSWER IN 3 DECIMAL PLACES Problem 4: A steel bar 50 mm in diameter and 2 m long is surrounded by a shell of castiron 5 mm thick. Compute the load that will compress the combined bar a total of 1 mm. For steel, E = 200 GPa, and for cast iron, E = 100 GPa.
A steel rod with a cross sectional area of 180 mm² is stretched between two fixed points. The Tensile load at 25 degrees is 3600 N. Assume α= 11.7 x10^-6 mm/(mm –degree celsius) and E = 200 GPA. Calculate the temperature at which the stress will be zero. Your answer
Consider a 1 m-long bar of 2024-T81 aluminum alloy with a 20mm-diameter and the following property data: E=70GPa Y.S.=410MPa T.S.=480MPa %Elongation at failure=8% What will be the length of the bar under a structural load of 1.2×10^5N in tension? Your answer should be in units of meters (m).
One aluminium rod joint together with steel and bronze rods loaded with axial load as shown in Figure 3. Calculate normal stress in each materials if P = 3kN.
As shown, three steel wires, each 27 mm2 in area, are used to lift a mass M. Their unstretched lengths are 19.99 m, 19.98 m, and 20 m. If M= 975 kg. what stress exists in the MIDDLE (the second longest) wire? Use E=215 Gpa. Answer must be in MPa.
A compound bar consisting of bronze, aluminum, and steel segments is loaded axially as shown in the figure. Determine the maximum allowable value P if the change in length of the bar is limited to 2 mm and the working stresses prescribed in the table are not to be exceeded
Determine the maximum tensile strength of the steel bar described by the following data Initial diameter = 12 mm Final diameter = 6.5 mm Initial length = 60 cm Final length = 86 cm Ultimate load = 5000 kgf