2. With an area of 420 mm?, a bronze bar that is 3 m long is placed between two rigid walls as shown in Fig. below. Find the temperature at which the compressive stress in the bar will be 55 MPa, if at a temperature of -20°C, the gap A = 3 mm. %3D Use a = 18.0 x 106 m/(m-°C) and E = 80 GPa. %3D

2. With an area of 420 mm?, a bronze bar that is 3 m long is placed between two rigid walls as shown in Fig. below. Find the temperature at which the compressive stress in the bar will be 55 MPa, if at a temperature of -20°C, the gap A = 3 mm. %3D Use a = 18.0 x 106 m/(m-°C) and E = 80 GPa. %3D

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.5.1P: The rails of a railroad track are welded together at their ends (to form continuous rails and thus...

See similar textbooks

Related questions

Q: Fill in the blanks: Compute the difference in pressure (Pa-PR) if pipe A contains oil with sg = 0.92...

Q: Cars A and B are traveling in adjacent highway lanes and at t = 0s have the position and velocity sh...

Q: %=18 kg city=3 m/s ermine kinetic ene

A: Given data Mass= 18 kg Velocity= 3m/s2 Required Kinetic energy

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

Q: find the work with 2.5kg of nitrogen in adiabatic compression from a specific volume of 0.605 m^3/kg...

A: Calculated work required for adiabatic compression of nitrogen.

Q: or the following core plugs, gas floods were carried out using nitrogen. The oil produced from plugs...

A: Given Data△L=2.666×10-1mm=0.2666mm△T=1.58So=64.64Sw=35.36%ϕ=38.27BV=63.05cm3

Q: For the 3500 -lb car, determine (a)(a) its mass in slugs, (b) its weight in newtons, and (c) its mas...

Q: 51. Solve Example IIIa.3.13 by direct derivation. For this purpose, consider the elemental control v...

A: Given: Considering velocity in x direction=V

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

A: GivenCarnot cycleT1=T2=Tmin=300KT3=T4=Tmax=900KP1=Pmin=0.10MPaQrej=60kJ/kg

Q: termine the magnitude of the vertical force Cy for the simply supported beam, where w = 10 kips/ft, ...

A: Ans: 38.5 kips

Q: An electrical heater 114 mm long and 7 mm in diameter is inserted into a hole drilled normal to the ...

A: GIVEN DATA-

Q: tip In the above figure the block is just on the verge of tipping: W and N act through point A and t...

Q: Given data K=200 GPa Poissons ratio=0.34 Determine Youngs modulus

A: Given data : The value of Bulk modulus =K K=200 GPa The value of Poisson's ratio=μ μ=0.34

Q: 3. The ball shown is shot horizontally towards the grey slanted wall, with h =w=1m, at an initial sp...

Q: t-lb 7. One pound of air R = 53.3 is compressed isothermally in a closed system from 15 psia and 80°...

Q: The work required to compress 5 kg of air in an insulated cylinder from 200°C and 300 kPa to 800 kPa...

A: Giveninsulated cylinderm=5kgT1=200oC=473KP1=300kPaP2=800kPa

Q: A jet of water 50 mm in diameter strikes on a fixed plate normally with a velocity of 25 m/s. Find t...

A: We have, Velocity of jet, V=25 m/s Diameter of jet, d=50 mm=501000=0.05 m

Q: A pipe 800 m long connects two reservoirs whose level difference is 60 m. Find the discharge in pipe...

A: Length of pipe, L=800 mLevel difference between the two reservoirs, ∆z=60 mPipe diameter, d=0.5 mFri...

Q: From the grain distribution curve, D60 = 1.45 mm, D30 = 0.75 mm and D10 = 0.45 mm. Determine the coe...

A: Given- D60 = 1.45 mm D30 = 0.75 mm and D10 = 0.45 mm

Q: 3. Show the step-by-step solutions, diagrams, and use the steam table: a. What is the quality of ste...

Q: Nitrogen flows steadily through a converging tube. Near the inlet, the nitrogen is at 8.0 psia, 40 °...

A: The cross section area at the downstream section is 0.926 ft2.

Q: A box is projected up an inclined plane with velocity of 5 m/s as shown in Fig. (2). Determine: (a) ...

Q: What is the reading in the caliper as shown in the figure

Q: . A boiler consumes half a cubic meter of natural gas in one hour. V

A: need to find power of the boiler.

Q: 68. Water at a rate of 1 m'/s enters a small hydraulic turbine from the horizontal supply line, havi...

Q: 25. Surface temperatures of a plate are maintained at To(x = 0) and T¿(x = L). Thermal conductivity ...

Q: Given data E=220 GPa Poissons ratio=0.34 Determine bulk modulus

Q: An airplane used to drop water on brushfires is flying horizontally in a straight line at 180 mi/h a...

Q: The force F, acting in a constant direction on the 22-kg block, has a magnitude that varies with the...

Q: Part A Ball A has a mass of 3 kg and is moving with a velocity of (va)ı = 8 m/s when it makes a dire...

Q: Describe with the aid of suitable diagram and show how the piezoelectric property of a quartz crysta...

A: They discovered that applying mechanical pressure to select crystals like quartz released an electri...

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: (b) Water boils at 95° C in a particular hill station. Estimate the approximate altitude (above the ...

A: Here we want altitude for boiling temperature at 95oC. From steam table at 95oC saturation pressure ...

Q: A 1.58 kg block B is moving with a speed of 2.04 m/s as it strikes the 0.54 kg sphere A which was at...

Q: The quarter circular plate is subjected to forces as shown. If the plate weighs 50 kg, and assuming ...

A: Given Mass of the plate = 50kg Forces = 350 N, 200 N and 200 N To find Reaction at A Reaction at B ...

Q: ir is at 30 °C and standard atmospheric pressure. If the gas constant is 287 J/kg-K, find the specif...

A: Given:T=30 CPatmR=287 J/Kg.K

Q: 1. The structure is used to support a distributed load of w = 15 kN/m. The bolts at A, B, and C each...

Q: Determine the magnitude of the vertical force Cy for the simply supported beam, where w = 5 kips/ft,...

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: 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: 5. In a Stirling cycle with an ideal regenerator, the volume varies between 0.03 and m, the maximum ...

A: In a Stirling cycle there are two constant volume process and two isothermal process. here from the ...

Q: 30

A: GIVEN DATA- MASS OF BLOCK M=12kg MASS OF BULLET m=10gm VELOCITY V=320m/s

Q: Determine the pressure difference between two points on either side of a sudden enlargement from a ...

Q: heat transfer

A: Assuming PWR rod is homogenous isotropic solid. In cylindrical coordinates we have differential equa...

Q: in volume. The hot leg temperat =ssurizer, and (b) the final system

A: from kelvin's law we know V1T1 =V2T2V where V and T are in cubic metre and kelvin respectively aV...

Q: What three functions are performed by the clutch safety switch when the car has an electronic engine...

Q: Cars A and B are traveling in adjacent highway lanes and at t = 0 s have the position and velocity s...

A: The relative velocity between any two-point can be calculated by assuming one point to be in rest an...

Q: Two Carnot heat engines run in series with the efficiency of first engine is k times the second. If ...

Q: e maximum compression imparted to the spring. Tak

A: To find maximum compression imparted to the spring

Q: You are shocked to learn that the Sun (which has a mass of 1M⊙) and Betelgeuse (with a mass of 11M⊙)...

A: 1. Soln :- stars are giant bundles of gas which produce energy through combination inside their cent...

Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

2. With an area of 420 mm², a bronze bar that is 3 m long is placed between two
rigid walls as shown in Fig. below. Find the temperature at which the compressive
stress in the bar will be 55 MPa, if at a temperature of -20°C, the gap A = 3 mm.
Use a = 18.0 x 10“ m/(m:°C) and E = 80 GPa.
L = 3 m

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 with 4 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 compressive load P is transmitted through a rigid plate to three magnesium-alloy bars that are identical except that initially the middle bar is slightly shorter than the other bars (see figure). The dimensions and properties of the assembly are as follows: length L = 1.0 m, cross-sectional area of each bar A = 3000 mm", modulus of elasticity E = AS GPa, and the gap s = 1.0 mm. (a) Calculate the load Ptrequired to close the gap. (b) Calculate the downward displacement 5 of the rigid plate when P = 400 kN. (c) Calculate the total strain energy V of the three bars when P = 400 kN (d) Explain why the strain -energy V is not equal to PS/2. Hint: Draw a load-displacement diagram.
A brass wire of diameter d = 2.42 mm is stretched tightly between rigid supports so that the tensile force is T = 98 N (see figure). The coefficient of thermal expansion for the wire is 19.5 × 10-6/°C. and the modulus of elasticity is E = 110 GPa. (a) What is the maximum permissible temperature drop AT if the allowable shear stress in the wire is 60 MPa? (b) At what temperature change does the wire go slack?
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?
A vertical bar is loaded with axial loads at points B, C, and D. as shown in the figure. The bar is made of steel with a modulus of elasticity E = 29,000 ksi., The bar has a cross-sectional area of 8.24 in2. Calculate the displacements at points B, C, and D. Ignore the weight of the bar
Rigid bar ACB is supported by an elastic circular strut DC having an outer diameter of 15 in. and inner diameter of 14.4 in. The strut is made of steel with a modulus elasticity of E = 29,000 ksi. Point load P = 5 kips is applied at B. Calculate the change in length of the circular strut DC. What is the vertical displacement of the rigid bar at point B?
A two-story building has steel columns AB in the first floor and BC in the second floor, as shown in the figure. The roof load P:equals 400 KN, and the second-floor load P-, equals 720 kN. Each column has a length L = 3.75 m. The cross-sectional areas of the first- and second-floor columns are 11,000 mm" and 3900 mm", respectively. (a) Assuming that E = 206 GPa. determine the total shortenings aof the two columns due to the combined action of the loads Ptand P,. (b) How much additional load P0can be placed at t he top of t he column (point C) if t he total shortening: SACis not to exceed 4.0 mm?
An aluminum bar subjected to tensile Forces P has a length L = 150 in. and cross-sectional area A = 2.0 in2 The stress-strain behavior of the aluminum may be represented approximately by the bilinear stress-strain diagram shown in the figure. Calculate the elongation S of the bar for each of the following axial loads: p = 8 kips, 16 kips. 24 kips, 32 kips, and 40 kips. From these results, plot a diagram of load P versus elongation S (load-displacement diagram).
A three-story steel column in a building supports roof and floor loads as shown in the figure. The story height H is 10.5 ft. the cross-sectional area A of the column is 15.5 in2, and the modulus of elasticity E of the steel is 30 × 106 psi. Calculate the strain energy U of the column assuming P1= 40 kips and P2= P3= 60 kips.
Wires B and C are attached to a support at the left-hand end and to a pin-supported rigid bar at the right-hand end (see figure). Each wire has cross-sectional area A =0.03 in2 and modulus of elasticity E = 30 X 106 psi. When the bar is in a vertical position, the length of each wire is L = 80 in. However, before being attached to the bar, the length of wire B was 79.98 in. and wire C was 79.95 in. Find the tensile forces TBand Tc in the wires under the action of a force P = 700 lb acting at the upper end of the bar.
*16 A prismatic bar AB of length L, cross-sectional area A, modulus of elasticity E, and weight Changs vertically under its own weight (see figure). (a) Derive a formula for the downward displacement Scof point E. located at distance It from the lower end of the bar. (b) What is the elongation SBof the entire bar? (c) What is the ratio £ of the elongation, of the upper half of the bar to the elongation of the lower half of the bar? (d) If bar A B is a riser pipe hanging from a drill rig at sea. what is the total elongation of the pipe? Let L = 1500 m, A - 0.ol57 m2, and E = 210 GPa. See Appendix 1 for weight densities of steel and sea water. (See Probs. 1.4-2 and J.7-13 for additional figures.)
A round bar of 10 mm diameter is made of aluminum alloy 7075-T6 (see figure). When the bar is stretched by axial forces P, its diameter decreases by 0.0 16 mm. Find the magnitude of the load P. Obtain the material properties from Appendix 1.
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?