Answered: A copper rod of diameter 10 mm and…

A copper rod of diameter 10 mm and length 4 m has a tensile force of 5 kN applied on it . Modulus of Elasticity of Copper is 96 GPa. Calculate the stress in MPa and extension in mm

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 8.2.7P: (a) Solve part (a) of the preceding problem if the pressure is 8.5 psi, the diameter is 10 in., the...

See similar textbooks

Related questions

Q: Q // If the value of the highest load we get from the tensile test of a wrought iron model with a…

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

Q: Compute the deformation (change in length) of bronze (B) and steel (S) in the given diagram below,…

Q: D A 10kN 28kN + → 60KN 44KN + 120cm 80cm Ост 40cm Figure 1 a) Draw a Free Body Diagram for each…

Q: A cylindrical steel pressure vessel 400 mm in diameter with a wall thickness of 20 mm, is subjected…

Q: Consider a tetrahedron containing point Q and show the forces on the faces of the tetrahedron due…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 450-mm-long AISI 1020 steel rod is subjected to a tensile load of 55 kN. The allowable tensile…

A: Given Length = 450 mm Tensile load = 55 kN = 55 X 103 N Allowable tensile stress = 140 MPa = 140…

Q: teel wire 5u-m long hanging vertically supports a weight of 1200 N. Determine the required wire…

A: Given;-δ=PLAE4x10-3=1200x5π4xd2x200x1094x10-3=1200x5x4πxd2x200x109d2=1200x5x4πxd2x200x109x4x10-3d=3.…

Q: A circular tube is subjected to torsion by torques T applied at the ends. The bar is 0.75 m long and…

A: Given Data: The length of the tube is, l=0.75 m=0.75 m×1000 mmm=750 mm. The inside diameter of the…

Q: aluminum rod is hanging from one end. The rod is 1 m long and has a square cross section 20 mm by 20…

Q: The longitudinal strain in a cylindrical bar of diameter 20mm and length 2.5m during the tensile…

Q: The elongation of the is proportional to the following except Group of answer choices Length Normal…

A: When a material is under stress where Hook's law is applicable then strain is proportional to stress…

Q: A thin cylinder of 100 mm internal diameter and 5 mm thickness is subjected to an internal pressure…

A: Given:internal diameter, di=100 mm or 0.1mthickness, t=5 mm or 0.005 mouter diameter, do=110 mm

Q: A thin copper tube, 14 mm internal diameter and 0,5 mm wall thickness has closed ends and rotates at…

Q: What is stress transformation and why we study stress transformation at a point within a given…

A: Given Stress transformation To find Definition of stress transformation Importance of stress…

Q: Problem Solving: Show your Solution 1. A sculpture weighing 10,000 N rests on a horizontal surface…

A: 1) Weight of sculpture =10000 N h=6 m A=0.20 m2 density =2700 kg/m3 length of segment =3 m

Q: A steel pipe 1.5m in diameter is required to carry an internal pressure of 650kPa. If the allowable…

Q: 3.8 The discs in the spinal column can withstand a stress (force per unit area) of 1.1 x 107 N/m2…

A: Given dataStress in the spinal column σmax = 1.1(10)7 N/m2Cros sectional area A = 10cm2= 10-3m2To…

Q: rectangular bar 40 mm wide and 30 mm thick is 0.5 m long. It is acted upon by axial tensile force of…

Q: A 12-mm thick steel tire has a width of 110 mm and internal diameter of 800 mm. It is heated and…

Q: A wire with a Young’s Modulus, E, of 8.5 x 106 N/m2 and an original length of 1.5 m is under…

A: Calculate the strain in the wire. ε=δll Here, l is the original length of the wire, δl is the change…

Q: A rubber block with dimensions of 120x120x120 mm is compressed in a rigid mold cavity with a…

Q: A steam engine cylinder has an effective diameter of 35 cm and the maximum steam pressure acting on…

Q: circular rod of 50 mm diameter experience a tensile load of 100 N. Find the stress induced in ro

A: Given:Diameter of rod, d=50 mmTensile load, L=100 N

Q: A rubber block with dimensions 120x120x120 mm is a rigid mold It is compressed with a vertical force…

Q: m high and 5 m in diameter is to be filled with water. Find the minimum thickness of the tank…

Q: A steel boiler 2.5 m in diameter has a wall thickness of 25 mm. The internal pressure is 1.6 MPa.…

A: Given: d=2.5 m t=25 mm P=1.6 MPa S=250 MPa

Q: (1) Find the factor of safety allowed in a piston rod 200 mm diameter if the maximum tensile pull in…

A: Given data: d=200 mmF=1 MNσS=600 MPa Need to determine the factor of safety allowed in a piston rod.

Q: A steel bar with triangular cross section has a base 30 mm and height 20 mm. When 1.2kN force…

A: Stress developed in the bar = Force applied/area of Cross section.

Q: А + 10kN 28kN 60kN 44kN 120cm 80cm Ocm 40cm Figure 1 a) Draw a Free Body Diagram for each section of…

A: Using lami's theorem TAsin1350=TCsin126.860=mgsin98.1300 TA=420.428 NTC=475.722 N Stress in each…

Q: dimensions. Here, l=30 cm and the diameter is 4 cm. A Calculate the level of the tensile strength…

A: To given that,Pf(v)=0.1Pf(v0)=0.01module,m=9a we know that , P=1-e-(σσ0)m…

Q: A 1.25 inch diameter hole is drilled on the centerline of a steel bar 3.5 inches wide by 3/8 inches…

Q: A steel is 10 mm diameter and 2 m long. It is stretched with force of 20 kN and extends by 0.2 mm…

Q: stanchion and carries a vertical load of 50 kN. Assuming that the total shearing stress in a bolt is…

A: GIVEN:

Q: 4. For an element subjected to stresses of x= 70 ksi y=-15 ksi xy=30 ksi SAH: (a) Draw Mohr's…

Q: Consider a tetrahedron containing point Q and show the forces on the faces of the tetrahedron due to…

Q: A bar of material with a cross sectional area of 50 mm' is subjected to tensile force of 200 N.…

A: Given data, A bar is subjected to tensile load. Load (P) = 200 N Area = 50 mm2 Find tensile stress =…

Q: A Steel wire hangs vertically under its weight. What is the greatest length it can have if the…

A: Given:- A Steel wire is hanging vertically under its weight Density of the wire (ρ)= 80 kg/m3…

Q: A 2m long rod of radius 1 cm which is fixed from one end is given a force of 8 N. Calculate the…

A: Given data: The radius of the rod is R = 1 cm. The force is F = 8 N. The elastic constant is E =…

Q: 4. A ring made of 2.5 cm diameter steel bar carries a pull of 10 kN. Calculate the maximum tensile…

A: We know that a ring composed of steel bar with a diameter of 2.5 cm has a draw of 10 kN. The maximal…

Q: 2. The discs in the spinal column can withstand a stress (force per unit area) of 1.1 x 107 N/m2…

A: GIVEN: σ=1.1X107 N/m2A=10cm2=10-3m2 a) Maximum force that can be applied before rupture takes…

Q: A rod is 0.5 m long and 5 mm diameter. It is stretched 0.06 mm by force of 3 kN. Calculate stress…

A: Length of the rod, L= 0.5 m= 500 mm Diameter of the rod, d= 5 mm Length stretched, ∆L= 0.06 mm…

Q: block of rubber 500 mm long, 20 mm wide and 400 mm high has its lower face fixed and its upper face…

Q: A steel pipe 1.5m in diameter is required to carry an internal pressure of 750kPa. If the allowable…

Q: A copper rolled wire 10 m long and 1.5 mm diameter when supporting a weight of 350 N elongates 18.6…

A: Given data, ∆L= 18.6 mm P=350N D= 1.5 mm L= 10 m = 10000 mm

Q: A rod is hanging vertically, supports a load of 2000N. Neglecting the weight of the wire, determine…

A: Given data, P= 2000 N Tensile stress = σ= 140 MPa, N/mm2

Q: An enormous and expensive artwork with mass 42.8 kg is mounted on a wall with four heavy-duty steel…

A: (a) The shear stress on the bolts is 5.35 × 106 N/m2. (b) The resulting vertical deflection of the…

Q: A rod of square 30x 30mm^2 cross-section subject to a compressive axial force of 72kN and a twisting…

Concept explainers

Thermal Properties of Materials

In mechanical engineering, the thermal property is represented as the physical quantity that is relevant to the application of heat. The thermal properties are evaluated by variations in any specific material due to low heat or high heat. The quantities that influence the thermal property of the materials are mass, density, temperature, and many others.

Question

A copper rod of diameter 10 mm and length 4 m has a tensile force of 5 kN applied on it . Modulus of Elasticity of Copper is 96 GPa. Calculate the stress in MPa and extension in mm .

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 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Types of Properties of Engineering Materials

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 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 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.
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) 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 steel cable with a nominal diameter of 25 mm (see Table 2-1) is used in a construction yard to lift a bridge section weighing 38 kN. as shown in the figure. The cable has an effective modulus of elasticity E = 140 GPa. (a) If the cable is 14 m long, how much will it stretch when the load is picked up? (b) If the cable is rated for a maximum load of 70 kN, that is the factor of safety with respect to failure of the cable?
Two bars AC and BC of the same material support a vertical load P (see figure). The length L of the horizontal bar is fixed, but the angle fl can be varied by moving support A vertically and changing the length of bar AC to correspond with the new position of support A. The allowable stresses in the bars are the same in tension and compression. When the angle ft is reduced, bar AC becomes shorter, but the cross-sectional areas of both bars increase because the axial forces are larger. The opposite effects occur if the angle 0 is increased. Thus, the weight of the structure (which is proportional to the volume) depends upon the angle ft. Determine the angle ft so that the structure has minimum weight without exceeding the allowable stresses in the bars. Note: The weights of the bars are very small compared to the force P and may be disregarded.
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 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 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 cylinder head of a steam engine is held on by 14 bolts. The effective diameter of the cylinder is 35 cm and the steam pressure is 8.5 kg/cm2. Assuming that the bolts are not initially stressed, find the diameter of each of the bolts if the tensile stress is not to exceed 200 kg/cm2.
A bar subjected to a stress of 1 GPa develops an elongation of 5mm. If the initial length of the bar is 1m, calculate the elastic modulus of the bar.
Take E 200 GPa for bar material,A conical tapering bar u from a diameter of 4 cm to 15 cm is given, It has a length of 40 cm. If an axial force of 80 KN is applied at each end of the bar, calculate the elongation of the bar.