Steel railroad rails 10 m long are laid with a clearance of 3 mm at a temperature of 15 oC. E = 200 GPa and  = 11.7 x 10 - 6/oC. 1. At what temperature will the rails just touch? 2. What stress would be induced in the rails at that temperature if there were no initial clearance?

Steel railroad rails 10 m long are laid with a clearance of 3 mm at a temperature of 15 oC. E = 200 GPa and  = 11.7 x 10 - 6/oC. 1. At what temperature will the rails just touch? 2. What stress would be induced in the rails at that temperature if there were no initial clearance?

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 2.6.5P

See similar textbooks

Related questions

Q: Determine the moment of inertia of the section about its base a-a.

Q: A 300mm x 300mm pipe discharges 600 L/s of water where the length is 30m. Determine the head loss if…

Q: Problem 1) Determine the moment of force F about Point A. Express the result as a cartesian vector.

Q: Water velocity in ft/sec i

A: To find . Water velocity in ft/sec

Q: Problem 3.15. A hollow aluminium tube of rectangular cross- section as shown in Fig. 3.27 is…

A: We know that a hollow aluminum tube with a rectangular cross section is subjected to a torque of…

Q: ◊ - W, = ΔΗ + Δέκ + Δέρ

A: Solution is attached below

Q: 1. The coefficient of kinetic friction between the 40-kg crate and the slanting floor is μ = 0.3. if…

Q: A force of F is applied on the system at A as shown in the figure in order to maintain the system in…

Q: 1) Determine the minimum factor of safety for yielding. Use both the maximum-shear-stress (MSS)…

Q: 14 Q1: The machine part of negligible weight is supported by a pin at A and a roller at Cas shown in…

A: find the reaction force at point A and point C.

Q: Air enters the room through a 200 mm diameter pipe and exits the fan into the ambient air through…

Q: 7.21- In a textile manufacturing plant, the waste dyeing water (Cp = 4295 J/g Cº) at 75C° is to be…

Q: Figure below shows a rod with mass M = 100 kg, cross section area A = 10 cm². The rod is supported…

Q: In this diagram, which pressure differential valve has pressure loss? Which part of the system has…

A: Differential valves are used for detecting differential pressure. detection of the valve failure of…

Q: A streamlined experimental solar car has a frontal area of 0.48 m² and an expected coefficient of…

A: given; frontal area(A)=0.48m2coefficient of drag(Cd)=0.12total mass(m)=200kgdensity of…

Q: The shaft as shown in the figure is supported by bearings at A and B. The bearings exert only…

A: Let AY and BY be the reactions at A and B respectively. Apply +↺∑Mat B= 0 in the above free body…

Q: A 3500-lb automobile travels down a 10° inclined road at a speed of 20 ft/s. If the driver jams on…

Q: Fig. 3.19 shows a hammer of mass 6 kg and pivoted at A. It falls against a wedge of mass 1 kg which…

Q: Q1) In a cylinder-piston arrangement shown (D₁ = 100 mm), the piston is moving downwards at Vp = 0.5…

A: GivenD1=100mmVp=0.5mm/sD2=10mmD3=50mm

Q: Air enters the compressor of a gas turbine at 100 kPa and 25°C. pressure ratio 5 and For a maximum…

A: given data T1= 25°C P1= 100kpa pressure ratio= 5 maximum cycle temperature = 850 °C find the back…

Q: Fig. 3.19 shows a hammer of mass 6 kg and pivoted at A. It falls against a wedge of mass 1 kg which…

Q: A single stage compressor is to compress 8.5m3/min from 98.56KPa to 985KPa. Polytropic constant is…

Q: BCC Crystal Structure 1. Proof that for a Body-Centered-Cube Crystal Structure (BCC): 4R a= √√3…

Q: The figure below shows a single degree of freedom control surface/actuator system. The control…

Q: The forces involved in producing a couple: Act in the same direction. Are equal in magnitude. O Have…

Q: A flat plate, manufactured from Perspex, is drawn submerged through 25°C still water at a velocity…

Q: Q2. A four-stroke cycle SI engine with 8 cylinder has 6.2-liters. It designed to have a maximum…

Q: hat is the flexural stress of a 5mm diameter cylindrical ceramic specimen pjected to 275N load in a…

A: Ans- 252 MPa Option first is correct.

Q: For the following mechanical systems, obtain the equations of motion in Laplace domain.

Q: A heat engine operates between two reservoirs at 800 and 20°C. One-third of the work output of the…

Q: Calculate the minimum volume of air required for the complete combustion of 1 m³ of a gaseous fuel…

A: INTRODUCTION: The fuel has a distinct composition that undergoes the combustion process, and a…

Q: Determination of Discharge Thru a Siphon

A: Given Height = 83.5 cm To find Theoretical discharge Actual discharge Difference percentage

Q: ᴀ ꜱɪɴɢʟᴇ ꜱᴛᴀɢᴇ ᴄᴏᴍᴘʀᴇꜱꜱᴏʀ ɪꜱ ᴛᴏ ᴄᴏᴍᴘʀᴇꜱꜱ 8.5ᴍ3/ᴍɪɴ ꜰʀᴏᴍ 98.56ᴋᴘᴀ ᴛᴏ 985ᴋᴘᴀ. ᴘᴏʟʏᴛʀᴏᴘɪᴄ ᴄᴏɴꜱᴛᴀɴᴛ ɪꜱ…

Q: Compute the force in each member of the loaded cantilever truss by the method of joints. AB AC BC BD…

A: The force in the each member of the given loaded cantilever truss is solved using method of joints.…

Q: 1- Two stage compressor with suction pressure and temperature of (100kPa) and (300K). The…

Q: In a piston cylinder system, a fluid at 0.8 bar occupying 0.07 m³ is compressed reversibly to a…

Q: 2. Find the centroid of the figure shown. y 20 in + 18 in 10 in 12 in X

Q: Oil (SG oil = 0.95) flows at 200 L/s through a 200mm diameter pipe, 500m long. Friction factor is…

A: Given:SG=0.95Q=200 L/s =0.2 m3/sd=200 mmL=500 mf=0.0225

Q: 3. Find the centroid of the figure shown. 60 mm 60 mm x

Q: In a fluid rotated S solid Velocity (w). The pressure rise (P) in a radial direction. depends upon…

Q: An Otto cycle with a compression ratio of 8 begins its compression at 94 kPa, and 10°C. The maximum…

A: Given data Compression ratio = 8Initial pressure = 94 kPaInitial Temperature = 10°CMaximum…

Q: Q9 A hydraulic lift is to be used to lift weight by putting a weight of 25 kg on a piston with a…

Q: Topic: Centroid Graph and compute the center of mass/ centroid of the region R = {(x, y): 1 ≤ x ≤…

Q: 3. Draw the shear-force and bending-moment diagrams for the beam shown. Determine the maximum shear…

Q: Q4/ One mole of an ideal gas, initially at 20°C and 1 bar, undergoes the following mechanically…

A: As per our guidelines we are supposed to solve only 3 subparts if multiple subparts are asked .…

Q: The bore and stroke of an air compressor are 276mm and 164mm, respectively. If the piston…

Q: Q.3 A Carnot cycle heat pump operates with R134a as the refrigerant. The condenser and evaporator…

Q: The difference in elevation between the source of the water supply and the centerline of the base…

Q: For an ordinary concrete slab to be laid" -3 within tolerance, engineers can only realistically…

A: Given question is related to metrology and inspection We have to complete the expression that is…

Q: Problem 2) Draw the Shear and Moment Diagram for the beam below. 4 kN 1.5 kN/m -1m- B A -2 m 4 m C…

A: Draw the shear force and bending moment diagram.

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

SHOW ILLUSTRATION AND SOLUTION

Problem 2: Steel railroad rails 10 m long are laid with a clearance of 3 mm at a
temperature of 15 oC. E = 200 GPa and  = 11.7 x 10 - 6/oC.

1. At what temperature will the rails just touch?
2. What stress would be induced in the rails at that temperature if there were no initial clearance?

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 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 spherical steel pressure vessel (diameter 500 mm, thickness 10 mm) is coated with brittle lacquer that cracks when the strain reaches 150 X 10~ (see figure). (a) What internal pressure p will cause the lacquer to develop cracks? (Assume E = 205 GPa and v = 0.30.) (b) If the strain is measured at 125 x 10-6, what is the internal pressure at that point?
A W 8 × 28 beam of a length 10 ft is held between immoveable supports. The beam has a modulus of elasticity E = 29,000 ksi and coefficient of thermal expansion a = 6.5 ×10-6 /?. If the temperature of the beam is raised uniformly by an amount AT = 20°F, calculate the thermal stress aTin the beam.
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?
Rectangular bars of copper and aluminum are held by pins at their ends, as shown in the figure. Thin spacers provide a separation between the bars. The copper bars have cross-sectional dimensions 0.5 in. × 2.0 in., and the aluminum bar has dimensions 1.0 in. × 2.0 in. Determine the shear stress in the 7/16-in. diameter pins if the temperature is raised by 100°F. (For copper, Et= 18,000 ksi and ac = 9.5 × 10-6/?; for aluminum, Ea= 10,000 ksi and aa= 13 × 10-6/?.) Suggestion: Use the results of Example 2-10
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.
Solve the preceding problem if the cube is granite (E = 80 GPa, v = 0.25) with dimensions E = 89 mm and compressive strains E = 690 X l0-6 and = = 255 X 10-6. For part (c) of Problem 7.6-5. find the maximum value of cr when the change in volume must be limited to 0.11%. For part. find the required value of when the strain energy must be 33 J.
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?
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 rigid triangular frame is pivoted at C and held by two identical horizontal wires at points A and B (see figure). Each wire has an axial rigidity EA = 120 kips and coefficient of thermal expansion a = 12.5 X 10-6/°F. (a) If a vertical load P = 500 lb acts at point D, what are the tensile forces TAand TBin the wires at A and B, respectively? (b) If both wires have their temperatures raised by 180°F while the load P is acting, what are the forces TAand TB (c) What further increase in temperature will cause the wire at B to become slack?
Solve the preceding problem if the diameter is 480 mm, the pressure is 20 MPa, the yield stress in tension is 975 MPa, the yield stress in shear is 460 MPa, the factor of safety is 2,75, the modulus of elasticity is 210 GPa, Poissorfs ratio is 0.28, and the normal strain must not exceed 1190 x 10" . For part (b), assume that the tank thickness is 8 mm and the measured normal strain is 990 x 10~ .