Steel, Brass, and Copper rods are connected as shown in the figure. Initially, the temperature was 15 degrees Celsius and the stress on the bars is zero. Eventually, the temperature increased to 25 degrees Celsius. Determine the total deformation on the brass.

Steel, Brass, and Copper rods are connected as shown in the figure. Initially, the temperature was 15 degrees Celsius and the stress on the bars is zero. Eventually, the temperature increased to 25 degrees Celsius. Determine the total deformation on the brass.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.7.10P: Three round, copper alloy bars having the same length L but different shapes are shown, in the...

See similar textbooks

Related questions

Q: A bucket is hanging from a horizontally moving crane. Calculate the maximum allowable speed (m/s) of...

A: Given: The length of wire is L=7.5 m. The angular deflection is limited to θ=21.4°. Explanation: D...

Q: A rubber bolt is inflated to apressure of 65kPa. At that pressure, te diameter of the ball is 240mm ...

Q: A 1.19 kg block B is moving with a speed of 3.38 m/s as it strikes the 0.46 kg sphere A which was at...

Q: Calculate the amount if work which a ball bearing of weight 50mN does against the drag force (fluid ...

A: Given: weight of the ball bearing→W=mg=50mN=50×106N distance travelled by the ball bearing→d=1mete...

Q: In a real mixture, substances behave differently than they would as a pure solution due to intermole...

A: A pure substance ( an element or a compound) is made up of only one type of atom, or molecule. Exam...

Q: Q: The specific gravity of a solution of KOH at 15°C is 1.0824 and contains 0.813 Ib KOH per U.S. ga...

A: we will answer the first question since the exact one was not specified. please submit a new questio...

Q: Steam and water flow in a 25 mm tube at 300 C, 3500 kg/m2 s, and X = 0.4. Use the drift flux model a...

A: Given: D = 25 mm T = 300 C G = 3500 kg/m2s X = 0.4 To find : α, S

Q: A Contractor/foreman needs lumber to be used for wooden scaffoldings, the set of lumber can be purch...

Q: Determine the tension Pin the cable which will give the 116-lb block a steady acceleration of 6.9 ft...

A: Given:W=116 lbμ=0.31a=6.9 ft/s2

Q: A tank contains carbon dioxide maintained at 50 C and 0.5 MPa. The tank is equipped with a 4.5 m lon...

A: Solution: Given Data: P=0.5 MPaT=50oCL=4.5 md=1 cmγ=1.28M=44

Q: When several measured values are close to the standard or accepted value, the values are said to be ...

A: Option 4 is correct.

Q: Use back-substitution to solve the system of linear equations. 2r+3y- 3z= -4 - 8y - 7z=73 A (-8, -7,...

Q: snowboarder starts from rest at the top of a double black diamond hill. As she rides down the slope,...

A: Given Data

Q: A right circular cylinder has a height of 1 m and diameter of 75 cm. Find the view factor for the cy...

Q: 1. The cantilever beam in Figure 1 is fixed at A, and is loaded with a distributed load from A to B ...

Q: Compute the pressure difference between m and n, in pounds per square inch, when: a) Fluid A is bri...

Q: A lunar excursion module (LEM) weighs 1500 kg on earth where g-9.75 mps2 Calculate Match each item t...

Q: n air-standard Carnot cycle operates between temperatures of 80 deg F and 1472 deg F. The minimum pr...

A: Carnot cycle is an imaginary cycle that gives the maximum possible efficiency between two temperatur...

Q: A product having a moisture content of 70% (wet basis) is dried in a tunnel-type dryer at a rate of ...

A: Moisture Content =70%Mass flow product=30kg/hrmass flow of the dry air=1000kg/hrInlet condition of a...

Q: The mass flow rate from a Bernoulli obstruction meter is given as: m =CA/2PAP/(RT, ) Find the percen...

A: Given equation is m˙ = CA 2 P1 ∆PRT1 Uncertainty in various quantities are as follows:C = 0.9 ± 0...

Q: The 1900-kg car has a velocity of 21 km/h up the 10-percent grade when the driver applies more power...

Q: A tennis ball is projected toward a smooth surface with speed v as shown. Determine the rebound angl...

A: e=0.58 since,0<e≤1 therefore, case of partial elastic collision Along line of Impact velocity o...

Q: Determine the pressure change of the differential pressure gauge expressed in Pa – Pb, express the p...

A: Given data

Q: Determine the relationship which governs the velocities of the three cylinders, and state the number...

Q: snowboarder starts from rest at the top of a double black diamond hill. As she rides down the slope,...

Q: Air at lol-325K Pa barometric pressure, dry bulb temperature of 20°C and wet buib tem perature f 1S°...

Q: A pipe is used for energy transmission. Length and diameter of pipe are 80 m and 45 cm respectively....

A: Friction pressure loss, measured in metres, dissipates the energy necessary to force water through a...

Q: A ordinary vapor-compression refrigeration using R-134A operates with a condenser tem- perature of -...

A: The vapor compression refrigeration cycle consists of four processes: Isentropic compression, Const...

Q: Air at pressure P1, temperature T1, and mass flow rate of m enters a compressor. ir pressure rise ov...

Q: A 1-lb stone is dropped down the “bottomless pit” at Carlsbad Caverns and strikes the ground with a ...

Q: rictionless piston-cylinder device contains a gas initially at 0.8 MPa and 0.015 m³. It expands quas...

A: Given: A Frictionless piston-cylinder device,Initial pressure, P1=0.8 MPaInitial volume, V1=0.015 m3...

Q: A centrifugal pump delivers water against a net head of 14.5 m at a designed speed at 1000 rpm. The ...

A: A centrifugal pump is a mechanical device that moves a fluid by transferring rotational energy from ...

Q: Gaseous nitrogen actuates a Carnot power cycle in which the volume at the beginning of the isotherma...

Q: Water flows at the rate of 5 ft3/s through an inclined pipe. At point A, where the diameter is 12 in...

Q: Air enters an ideal gas turbine cycle at 1 bar and 27 C. The maximum temperature in the cycle is 727...

Q: WITH STEP BY STEP PLEASE For the 3500 -lb car, determine (a)(a) its mass in slugs, (b) its weight i...

Q: Determine the magnitude of the vertical force C, for the simply supported beam, where w = 7 kips/ft,...

Q: Compute the final velocities v,'and v,' after collision of the two cylinders which slide on the smoo...

A: Given data e=0.59 V1=45 ft/sec V2=7 ft/sec W1=5lb W2=12lb We have determine final velocity

Q: Given points A(ρ = 5, φ = -60◦, z = 3) and B(ρ = 7, φ = 120◦, z = -2), find unit vector in cartesian...

Q: A 0.515-oz model rocket is launched vertically from rest at time t = 0 with a constant thrust of 0.9...

Q: A 1.08 kg block B is moving with a speed of 2.27 m/s as it strikes the 0.29 kg sphere A which was at...

A: Given data: μ=0.26mb=1.08 kgvbi=2.27 m/sms=0.29 kgvsi=0vsf=1.56 m/s Need to determine the distance t...

Q: An air-standard Carnot cycle operates in a piston-cylinder device between temperatures of 300 and 90...

Q: Select the correct y for finding the bending stress at K, given that the z centroidal axis is 6 in. ...

A: As per given We have find the bending stress at k

Q: An air-standard Carnot cycle operates between temperatures of 450 R and 1860 R. The minimum pressure...

A: Tmin = 450 R Tmax= 1860R Pmin =14.5 psi amount of heat supplied(Qs)= 50 BTU/b

Q: A simple harmonic oscillator, of mass m and natural frequency wo, experiences an oscillating driving...

A: Write the expression of motion. d2xdt2+ω02x=acosωt

Q: Consider the following numerical data that apply to a viscously-data spring-mass system subjected to...

A: Here the steady state amplitude = F°K(1+r2) + (2∑r)2=ADAr∑<1.65 x 10-3F0=460Nr=WWhW=PWA=4 X 10313...

Q: You want to save an amount of 100000 at the end of 10 years. you are given 8% interest compounded qu...

Q: A 12500 N car is driven at sea level on a level paved surface. The car has CD=0.78and 1.99 m^2 front...

Q: 10-4 A PWR operates at 2000 psia and 600°F hot leg. It has a 1000 ft pressurizer which is normally h...

Q: 2. A boiler consumes half a cubic meter of natural gas in one hour. What is the power of this boiler...

A: Calculated the power of the boiler in kW.

Question

Steel, Brass, and Copper rods are connected as shown in the figure. Initially, the temperature was 15 degrees Celsius and the stress on the bars is zero. Eventually, the
temperature increased to 25 degrees Celsius. Determine the total deformation on the brass.
Steel
Brass
Сopper
Ecu
120 GPa
Est = 200 GPa
12(10-)/°C abr
100 GPa
Epr
= 21(10-)/°C acu = 17(10-")/°C
ast
Acu = 515 mm?
Abr = 450 mm2
200 mm?
Ast
300 mm
-- -200 mm
100 mm
O -0.0109mm
O 0.0241mm
O -0.0241mm
O 0.0109mm
oooO

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

The rails of a railroad track are welded together at their ends (to form continuous rails and thus eliminate the clacking sound of the wheels) when the temperature is 60°F. What compressive stress ?? =6.5×10-6 /? is produced in the rails when they are heated by the sun to 120"F if the coefficient of thermal expansion a = the modulus of elasticity E = 30 × 106 psi?
A joint between two glass plates A and B is filled with a flexible epoxy that bonds securely to the glass. The height of the joint is/p = 0.5 in, its length is L = 30 in, and its thickness is/ = 0.5 in. Shear force of I' = 25 kips is applied to the joint. Calculate the displacement of the joint if the shear modulus of elasticity G of the epoxy is 100 ksi. Calculate the average shear strain in the epoxy.
(a) Solve part (a) of the preceding problem if the pressure is 8.5 psi, the diameter is 10 in., the wall thickness is 0,05 in., the modulus of elasticity is 200 psi, and Poisson's ratio is 0.48. (b) If the strain must be limited to 1.01, find the maximum acceptable inflation pressure
A high-strength steel bar used in a large crane has a diameter d = 2.00 in. (sec figure). The steel has a modulus of elasticity E = 29 × 10 psi and Poisson’s ratio is v = 0.29. Because of clearance requirements, the diameter of the bar is limited to 2.001 in. when it is compressed by axial forces. What is the largest compressive load Pmaxthat is permitted?
A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The wire is made of a copper alloy having a stress-strain relationship that may be described mathematically by =18,0001+30000.03(=ksi) in which is nondimensional and has units of kips per square inch (ksi). (a) Construct a stress-strain diagram for the material. (bj Determine the elongation, of the wire due to the Forces P. (c) IF the forces are removed, what is the permanent set of the bar? (d) If the forces are applied again, what is the proportional limit?
The hollow drill pipe for an oil well (sec figure) is 6,2 in. in outer diameter and 0.75 in. in thickness. Just above the bit, the compressive force in the pipe (due to the weight of the pipe) is 62 kips and the torque (due to drilling) is 185 kip-in. Determine the maximum tensile, compressive, and shear stresses in the drill pipe.
Two steel wines support a moveable overhead camera weighing W = 28 lb (see figure part a) used For close-up to viewing of field action at sporting, events. At some instant, wire I is at an angle a = 22° to the horizontal and wire 2 is at angle fi = 40°. Wires I and 2 have diameters of 30and 35 mils, respectively. (Wire diameters are often expressed in mils; one mil equals 0.001 in.) (a) Determine the tensile stresses s and s2 in the two wires. (b) If the stresses in wires 1 and 2 must be the same, what is the required diameter of wire 1 ? (c) To stabilize the camera for windy outdoor conditions, a third wire is added (see figure part b). Assume the three wires meet at a common point coordinates (0, 0. 0) above the camera at the instant shown in figure part b. Wire I is attached to a support at coordinates (75 ft, 48 ft, 70 Ft). Wire 2 is supported at (-70 ft. 55 ft, 80 Ft). Wire 3 is supported at (-10 ft. -85 Ft, 75 ft). Assume that all three wires have a diameter of 30 mils. Find the tensile stresses in all three wires
Solve the preceding problem if the internal pressure is 3,85 MPa, the diameter is 20 m, the yield stress is 590 MPa, and the factor of safety is 3.0. (a) Determine the required thickness to the nearest millimeter. (b) If the tank wall thickness is 85 mm, what is the maximum permissible internal pressure?
A hollow, circular, cast-iron pipe (Ec =12,000 ksi) supports a brass rod (Ec= 14,000 ksi} and weight W — 2 kips, as shown. The outside diameter of the pipe is dc= 6 in. (a) If the allowable compressive stress in the pipe is S00O psi and the allowable shortening of the pipe is 0.02 in., what is the minimum required wall thickness trmm? (Include the weights of the rod and steel cap in your calculations.) (b) What is the elongation of the brass rod Srdue to both load Wand its own weight? (c) What is the minimum required clearance h?
Solve the preceding problem if F =90 mm, F = 42 kN, and t = 40°MPa
An aluminum bar has length L = 6 ft and diameter d = 1.375 in. The stress-strain curse for the aluminum is shown in Fig. 1.34. The initial straight, line part of the curve has a slope (modulus of elasticity) of 10.6 × 106 psi. The bar is loaded by tensile forces P = 44.6 k and then unloaded. (a) That is the permanent set of the bar? (b) If the bar is reloaded. what is the proportional limit? hint: Use the concepts illustrated in Figs. l.39b and 1.40.
Three round, copper alloy bars having the same length L but different shapes are shown, in the figure. The first bar has a diameter d over its entire length, the second has a diameter d over one-fifth of its length, and the third has a diameter d over one-fifteenth of its length. Elsewhere, the second and third bars have a diameter Id. All three bars are subjected to the same axial load P. Use the following numerical data: P = 1400 kN, L = 5m,d= 80 mm, E= 110 GPa. and v = 0.33. (a) Find the change in length of each bar. (b) Find the change in volume of each bar.