A steel rod with a cross sectional area of 150 sq.mm is stretched between two fixed points. The tensile load at 20 deg C is 5000 N. At what temperature will the stress be zero. Assume a=11.7μm/m - degC and E=200GPa

A steel rod with a cross sectional area of 150 sq.mm is stretched between two fixed points. The tensile load at 20 deg C is 5000 N. At what temperature will the stress be zero. Assume a=11.7μm/m - degC and E=200GPa

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 2.11.4P: A prismatic bar in tension has a length L = 2.0 m and cross-sectional area A =249 mn2. The material...

See similar textbooks

Related questions

Q: In the test on a steel bar, E = 29.57 x 10° psi and v = 0.303. Find the shear modulus, G. %3D

A: Given data: E=29.57×106 psiν=0.303 Need to determine the value of shear modulus.

Q: The composite bar is initially stress-free. Calculate the stress in each material and indicate…

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: A steel rod with a cross-sectional area of 0.20 in is stretched between two fixed points. The…

Q: A cylinder head of a steam engine is held on by 14 bolts. The effective diameter of the cylinder is…

Q: Step by step

A: This is the very basic question of strength of material portion. Used concept is elongation of a bar…

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

Q: 6) A steel rod with a cross-sectional area of 0.25 in? is stretched between two fixed points. The…

Q: A tensile load of 40 kN is acting on a rod of diameter 40 mm and of length 4 m. A bore of diameter…

A: Given: Tensile load P=40 KN Diameter of the rod D=40 mm Area of the road A=π4D2…

Q: A copper rod of 50mm diameter is surrounded by a steel tube of 100mm external diameter, the ends…

Q: 1. For the pin-jointed configuration shown in Figure 1, (a) Determine the global stiffness matrix…

Q: Shown below is a torsion bar with a torque applied a distance L1 from one end. Th two ends are fixed…

Q: Question 3: Find the extension in mild steel wire of 10 mm in diameter and 1.6 m long, the wire is…

A: Given, Diameter of the steel wire = d = 10 mm Length of the wire = 1.6 m = 1600 mm Axial load on the…

Q: Example 3 A cable is made of two strands of different materials, A and B, and cross sections as…

Q: A force P = 1 KN applied to a right bar suspended by three wires, as shown below. all wires are of…

A: Given data as per question Force (p) =1 KN Area of each wire =80 mm2 E =200 Gpa Length of wire =4…

Q: SEE IMAGES AND FIND ANSWERS... PLEASE

A: Given data as per the question Considering the given diagram and drawing the free body diagram

Q: 3. A cylindrical metal rod of 50mm diameter and 3m length is subjected to a tensile load of 150KN.…

A: Strain is the deformation in the material per unit length. True strain is the natural log of the…

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

Q: An aluminium wire and steel of the same length and cross section are joined end to end the composite…

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: A steel bar with the dimensions and cross section shown is suspended vertically. Three concentric…

A: The change in length due to 22250 N force is ∆L1=PLAE=22250×1+0.65+0.356.5×10-4×210×109=3.26×10-4 m…

Q: A compressive axial load is applied to a fixed-free strut as shown in Figure 2(a). The strut has a…

A: Given data:E=200GN/m2P=400kNσy=350 GN/m2 Need to determine the minimum thickness,t,of the strut…

Q: A spherical tank contains an internal pressure of 3.0 MPa, the diameter is 16 m, the yield stress…

Q: 3. Find the equivalent stiffness as shown below. Draw the free body diagram. x10 Nm sx10' N 45 10 Nm

Q: A bar of mild steel 200 mm long and 50 mm × 50 mm in cross section is subjected to an axial load of…

A: Given, Length of bar = L = 200 mm Cross-sectional area of bar = A = 50 mm x 50 mm = 2500 mm2 Axial…

Q: 4. A steel bar of 40 mm x 40 mm square cross-section is subjected to an axial compressive load of…

A: Given, Cross sectional area = A = 40 mm x 40 mm = 1600 mm2 Axial compressive load = P = 200 kN = 200…

Q: 30. A compressive load P is transmitted through a rigid plate to three magnesium-alloy bars that are…

Q: 1. A brass rod of diameter 25 mm and length 250 mm is subjected to a tensile load of 50 kN and the…

Q: At room temperature the gap between bar A and bar B shown in Fig. 8.54 is 0.2 mm. What are the…

A: Given: The gap between the rods is 0.2 mm. Temperature increment ( T ) required to fill the gap…

Q: A solid 0.12 in. diameter steel (E = 30,000 ksi: a = 6.5 × 10-6/°F] wire is stretched between fixed…

Q: i) The circular rod in Figure 3.1 is subjected to an axial force of 300 N. The length of the rod is…

A: A pulling load that tends to elongate the material is called the tensile load.

Q: 3. A 5-m rod having a uniform cross-sectional area of 1000 sq.mm. is secured between two walls 5…

Q: 5. (20 pt) A bar having length of 5 in and cross-sectional area of 0.7 in' is subjected to an axial…

A: Given:- Area 0.5 inch2 Length 5 inch Stress 8000 lb

Q: A 200 kg load is hung on a wire of length 4 m, cross sectional area of 0.2 x 10 -4 m2 and Young’s…

A: Given data: The mass hanged in the wire is m = 200 kg. The length of the wire is L = 4 m. The area…

Q: B/A cylindrical piece of carbon-steel with dimension of 100 mm length and 10 mm diameter exposed to…

Q: ILLUSTRATION AND SOLUTION Problem 1: A steel rod with a cross - sectional area of 150 mm2 is…

Q: A horizontal bar, fixed at one end (x 0), Has a length of 1 m, and croes-sectional area of 100 mm,…

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

Q: A steel rod with length equal to 12 ft, has a diameter of 0.8 inches in quarter of its length and a…

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: Problem 1: A steel rod with a cross-sectional area of 0.20 in² is stretched between two fixed…

A: Given data: The cross-section area is The 1st temperature is The tensile load is The 2nd…

Q: A horizontal bar, fixed at one end (x = 0), has a length of 1 m. and cross-sectional area of 100 mm2…

Q: 2 Figure 2 shows a shaft consists of Rods AB, BC and CD which made of Aluminium, Brass and Steel,…

Q: The assembly consists of two 10-mm diameter red brass C83400 copper rods AB and CD, a 15-mm diameter…

A: Given data: The diameter of brass rod, dB=10 mm. The diameter of the steel rod, ds=15 mm. The…

Q: A steel wire is 10m long supports a tensile load of 2000N. What is the diameter if the stress is 140…

Q: A steel [E = 200 GPa] rod with a circular cross section is 8-m long. Determine the minimum diameter…

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…

Question

1. A steel rod with a cross sectional area of 150 sq.mm is stretched between two fixed points. The tensile load at 20 deg C is 5000 N. At what temperature will the stress be zero. Assume a=11.7μm/m - degC and E=200GPa

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 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 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 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.
Five bars, each having a diameter of 10 mm. support a load P as shown in the figure. Determine the plastic load Ppif the material is clastoplastic with yield stress
A symmetrical framework consisting of three pin-connected bars is loaded by a force P (see figure). The angle between the inclined bars and the horizontal is a = 52°. The axial strain in the middle bar is measured as 0.036. Determine the tensile stress in the outer bars if they are constructed of a copper alloy having the following stress-strain relationship:
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 slightly tapered bar AB of solid circular crass section and length L is supported at end B and subjected to a tensile load P at the free end A. The diameters of the bar at ends A and B are dAand dB. respectively. Determine the length of the bar if the elongation of the bar due to the load P = 45 kips is 0.02 in. Assume that E = 10,400 ksi.
A square aluminum bar with pinned ends carries a load P = 25 kips acting at distance e = 2,0 in. from the center (sec figure). The bar has a length E = 54 in. and modulus of elasticity E = 10,600 ksi. If the stress in the bar is not to exceed 6 ksi, what is the minimum permissible width bminof the bar?
A steel bar has a square cross section of width b = 2.0 in. (sec figure). The bar has pinned supports at the ends and is 3.0 ft long. The axial forces acting at the end of the bar have a resultant P = 20 kips located at distance e = 0,75 in, from the center of the cross section. Also, the modulus of elasticity of the steel is 29,000 ksi. Determine the maximum compressive stress max, in the bar. If the allowable stress in the steel is 18,000 psi, what is the maximum permissible length Lmaxof the bar?
A pinned-end strut of aluminum (E = 10,400 ksi) with a length L = 6 ft is constructed of circular tubing with an outside diameter d = 1 in. (sec figure). The strut must resist an axial load F = 4 kips with a factor of safety n = 2.0 with respect to the critical load. Determine the required thickness t of the tube.
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.