Problem 1: A steel rod with a cross-sectional area of 0.20 in² is stretched between two fixed points. The tensile load at 65°F is 1250 lb. What will be the stress at 0°F? At what temperature will the stress be zero? Assume a = 6.5×10° in / (in-°F) and E = 29 × 10° psi. %3D

Problem 1: A steel rod with a cross-sectional area of 0.20 in² is stretched between two fixed points. The tensile load at 65°F is 1250 lb. What will be the stress at 0°F? At what temperature will the stress be zero? Assume a = 6.5×10° in / (in-°F) and E = 29 × 10° psi. %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

Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)

Section: Chapter Questions

Problem 8.2.9P: A spherical tank of diameter 48 in. and wall thickness 1.75 in. contains compressed air at a...

See similar textbooks

Related questions

Q: A 100 mm x 5 mm x 5 mm steel bar free to expand is heated from 15°C to 40°C. What shall be…

A: As stated in question, Dimensions of the steel bar = 100 mm x 5 mm x 5 mm Initial temperature = T1 =…

Q: 2. A horizontal bar of negligible mass, hanged by hinge at point (A) as shown. The bar is assumed to…

Q: A column has a rectangular cross-section of 10 mm x 20 mm and a length of 1 m The slenderness ratio…

A: Length of the column, L=1 mArea of column, A=10×20×10-6 m2

Q: At the proportional limit, a 18 mm thick x 82 mm wide bar elongates 7.1 mm under an axial load of…

Q: A steel bar 100 mm long and having a square cross section 20 mm on an edge is pulled in tension with…

A: Given data: The length of the bar, L = 100 mm. The side of square, a = 20 mm. The applied load, P =…

Q: A load P will be supported by a structure consisting of a rigid bar ABCD, a polymer [E = 2,300 ksi;…

Q: A thin-walled cylinder shell has an internal diameter of 2m, is fabricated from plates 20mm thick.…

Q: Coefficient of Thermal Expansion Steel Rod (figure) a. Change in length if the rod is heated to…

Q: A column is made from a rectangular bar whose cross section is 5.1 cm by 8.7 cm If the height of the…

Q: 12. A column of length 18" and a diameter of 0.25" was tested with both ends pinned. The measured…

A: Given- Length (L) = 18 inch Diameter (d) = 0.25 inch E = 29000 ksi = 29000000 lbs/in2 Case 1 -…

Q: Required information The aluminum shell is fully bonded to the brass core, and the assembly is…

A: Given data: Ti=78°FTf=185°FEBr=16×106 psiαBr=11.6×10-6/°FEAl=10.6×106 psiαAl=12.9×10-6/°F Need to…

Q: To support a tensile load of 65 kN, a metallic rod with a circular cross section and a length of…

Q: thick is to be pulled on to a cylinder 30cm in diameter. The internal diameter of the hoop formed by…

Q: A steel rod with a cross-sectional area of 199 mm2 is stretched between two fixed points. The…

Q: A 100 mm x 5 mm × 5 mm steel bar free to expand is heated from 15°C to 40°C. What shall be…

A: Given, Dimensions of the steel bar = 100 mm x 5 mm x 5 mm Initial temperature = T1 = 15 oC Final…

Q: LA = 2600 mm2 1000 mm E = modulus of elasticity = 200 GPa a = coefficient of thermal expansion

A: Thermal stress is generated inside the rod because of the change in the temperature or temperature…

Q: A steel band 6mm thick is to be pulled on to a cylinder 30cm in diameter. The internal diameter of…

A: Answer: (a) The necessary increase in temperature is 52.32℃. (b) The stress occurred in the hoop is…

Q: An AISI 1020 steel rod 12 feet long is anchored between two rigid supports. At 68 degrees the rod…

Q: °C) .what is the length of the bar in a summer day when the temperature is (38 C) ?Calculate the…

A: Given: T1= -20oC T2=38oC L=50 m α=12×10-6 C-1 To determine: The length of the bar in the summer day…

Q: A solid steel bar 250 mm long is 10 mm square over part of its length, the remainder being circular…

A: Answer: (a) The load P is 20 kN. (b) The total extension of the bar is 0.13 mm. (c) The length of…

Q: A bar subjected to a stress of 1 GPa develops an elongation of 5mm. If the initial length of the bar…

Q: Q2) An external ocompressive load of 900 kN is applied on compound bar consists of three bronze bars…

Q: A solid steel cylinder is enclosed by a hollow copper cylinder; both cylinders are 250 mm long at 20…

A: Permissible stress is stress, which produces due to pressure or forces which does not exceed the…

Q: A 23 mm diameter bronze bar 2.8 m long is placed between two rigid walls. At a temperature of -3°C,…

Q: Required information The aluminum shell is fully bonded to the brass core, and the assembly is…

A: Given:Brass core E=15 x106 psiα=11.6 x 10-6/o FAluminium shell E=10.6 x106 psiα=12.9 x 10-6/o F

Q: Calculate the bursting pressure for a cold drawn seamless steel tubing of 60 mm inside diameter with…

A: Given data:

Q: bar is 250 mm long and 10 mm square over part of its length, the remainder being circular with a…

A: as per our company guidelines we are supposed to answer only first three sub-parts. Kindly repost…

Q: A 35 kN axial load is applied to a metal bar with a rectangular cross-section, 28mm wide by 10mm…

A: To find: The original length of the bar. Given: The load is P=35 kN. The width is 28 mm and…

Q: Required information A gap of 0.02 in. exists between the composite rod and the wall when the…

A: GIVEN DATA BRONZE AND ALUMINIUM ROD IS GIVEN WE HAVE TO FIND TEMPRATURE AT WHCIH IN ALUMNIUM ROD…

Q: A uniform edge load of wi = 540 lb/in. and w2 = 300 lb/in. is applied to the polystyrene specimen.…

Q: A steel rod with a cross-sectional area of 180 mm2 is stretched between two fixed points. The…

Q: A load P will be supported by a structure consisting of a rigid bar ABCD, a polymer [E = 2,300 ksi;…

Q: (a) A 25 mm diameter bar is subjected to an axial tensile load of 100KN. Under the action of this…

A: Given Data⇒Diameter of bar d=25 mmAxial tensile load F=100 KNGauge Length L=200 mmChange in length…

Q: A uniform edge load of wi 470 lb/in and un = 350 lb/in is applied to the polystyrene specimen E,…

A: Please find the answer below

Q: A spherical pressure vessel 400-mm in diameter has a uniform thickness of 6 mm. The vessel contain…

A: To Find : The Factor of safety with respect to tensile failure . Given : The diameter is D=400 mm.…

Q: Problem 3: (M4) Your boss at a construction company asked you to verify the thickness of a 3 m long…

Q: The blue bar is made from steel with the following mechanical properties: Young's Modulus, E =…

Q: Problem 3: (M4) Your boss at a construction company asked you to verify the thickness of a 3 m long…

A: As per given conditionWe have the equation for moment of…

Q: A railroad track is laid at a temperature of 10°C with gaps of 0.008 m between the ends of the…

A: 2. Given Change in temperature = 10oC Modulus of elasticity, E = 200000 MPa Solution…

Q: A spherical gas-storage tank with an inside diameter of 31 ft is being constructed to store gas…

A: Given:d=31 ft =372 inp=204 psiSy=31 ksi =31*103 psiN=3

Q: A steel rod bolt 8mm diameter inside fits loosely on an aluminium tube and 16mm outside diameter. A…

A: Given data: The diameter of the steel rod bolt is = 8 mm The outside diameter of the aluminum tube…

Q: Your boss at a construction company asked you to verify the thickness of a 3 m long hollow-square…

A: Given that, Length of the column, L=3 m=3000 mmModulus of elastisity, E=200 GPA=200×103…

Q: n an experiment, an alloy bar of 1m long and 20mm by 20mm in section was tested to increase through…

A: GivenL=1md=20mm=0.020m∆L=0.1mmσ=6.4kNE=133Gpa

Q: A 5-m rod having a uniform cross-sectional area of 1000 sq. mm. is secured between two walls 5…

A: Given Data: Total length, L=5 m Cross-sectional area, A=1000 mm2

Q: Problem 1 An axially loaded bar shown in Fig. 1 has a stress concentration factor of 2.9 at the…

Q: Consider a cylindrical titanium wire 3.0 mm (0.12 in.) in diameter and 2.5 x 104 mm (1000 in.) long.…

A: Hi. as you have posted multiple questions and not specified which question needs to be solved, we…

Q: 2) A bar of length 5 m is subjected to an axial tensile load of 100 KN. The bar is 25 mm diameter…

A: According to the given information we have a bar of 5 m to an axial load of 100 Kn the bar is 25 mm…

Q: An unknown specimen having a rectangular cross section of dimensions 5 mm × 20 mm is deformed in…

Concept explainers

Conduction and Convection

When energy travels from one object to another it is said to have undergone heat transfer. Heat transfer is nothing but the transfer of thermal energy or internal energy from one thing to another, like e.g., when a vessel with water, kept on top of a burner, heats up because of the flame underneath it.

Question

100%

Problem 1:
A steel rod with a cross-sectional area of 0.20 in´ is stretched between two
fixed points. The tensile load at 65°F is 1250 lb. What will be the stress at
0°F? At what temperature will the stress be zero? Assume a = 6.5×10° in /
(in.°F) and E = 29 x 10° psi.

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 9 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) 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
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 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 spherical balloon is filled with a gas. The outer diameter of the balloon is 20 in. and the thickness is 0,012 in. Calculate the maximum permissible pressure in the balloon if the allowable tensile stress and the allowable shear stress in the balloon are 1 ksi and 0.3 ksi, respectively.
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?
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 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.
A flat bar of width b and thickness t has a hole of diameter d drilled through it (see figure). The hole may have any diameter that will fit within the bar. What is the maximum permissible tensile load Pmaxif the allowable tensile stress in the material is st?
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 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 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?
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.