A bar produces a lateral strain of magnitude 60x105 m/m when subjected to a tensile stress of magnitude 300 MPa along the axial direction. What is the elastic modulus of the material if the Poisson's ratio is 0.3?

A bar produces a lateral strain of magnitude 60x105 m/m when subjected to a tensile stress of magnitude 300 MPa along the axial direction. What is the elastic modulus of the material if the Poisson's ratio is 0.3?

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 8.2.8P: A spherical steel pressure vessel (diameter 500 mm, thickness 10 mm) is coated with brittle lacquer...

See similar textbooks

Related questions

Q: Task (2) An ideal reheat regenerative Rankine cycle with one open feedwater heater. The boiler and…

A: Given: The boiler pressure, P1 = 10 MPa The condenser pressure, P4 = 15 kPa The reheat pressure, P2…

Q: The design specifications for the steel shaft AB require that the shaft acquire a strain energy of…

Q: a.) Which of the following gives reaction at support A? b.) Which of the following gives reaction at…

Q: A multiple drilling is used to drill simultaneously six holes in the steel plate shown in fig. Each…

A: Couple exerted by each drill, m=10 N.m

Q: Q1: 100kg of Sausage 'Frankfurter' energy Using the is to be cooled from 25°C to -5°C. content…

Q: machinist was tasked to insert an aluminum piston into a steel cylinder. The inside diameters of the…

Q: 4. For the Conduit shown, find the pressure head (P₂/y) at point (2). Knowing that: Q=25 L/s y =…

A: Pressure head at 1, P1γ=1.5 mElevation difference between 1 and 2, z1-z2=1.2 mFlow rate, Q=25…

Q: Determine the reactions in C nember ACD as shown in figure? 800 KN 5m + 4m 600 k

A: Given

Q: ***) Determine the resultant of forces system shown in Figure below and locate it with respect to…

A: Answer: ◆ Therefore, R = 4669.05 kN upward to the right at θx = 46.7357° . ◆ The intercepts of R are…

Q: Determine the resultant of forces system shown in Figure below and locate it with respect to point…

A: ◆ The magnitude of the resultant force is 4669.05 kN to the right at an angle of 46.7357° with the…

Q: , Determine the reactions in C on member ACD as shown in figure? 800 KN 5m 4m 6 m D ug E 600 KN 3 m

A: 1). First draw FBD for both members 2). apply moment balance equation at A and B separately 3).…

Q: A new thermometer is invented where the temperature scale is in degree G (°G). The boiling point of…

A: Given Boiling temperature = 900 G Freezing temperature = 120 G To find Relation of G with kelvin…

Q: Q2/ Steam at 320 °C and 80 bar enter Nozzle with velocity 70 m/s and leaving by temperature is 100…

Q: Read the problem carefully and provide complete solutions with derivation of formulas (integrals and…

Q: The magnitude of a vector: a.Can be positive or negative. b.Must always be negative. c. Must…

A: The magnitude of a vector: Answer: c. Must always be positive.

Q: )Describe 4 assumptions in the Euler theory of buckling. b)Euler theory does not take into…

A: Euler's theory of column buckling is used to estimate the critical load of the column when the…

Q: Steam at 320 °C and 80 bar enter Nozzle with velocity 70 m/s and leaving by temperature is 100 °C,…

A: For solution refer below images.

Q: Applying Clausius inequality to determine the minimum heat rejected if (300000 W) heat supplied to…

A: Find Minimum heat rejected.

Q: A solid cylinder A rolls without slipping is connected to a block B by a cord passing over a…

Q: Determine the resultant of forces system shown in Figure below and locate it with respect to point 4…

A: At point A total resultant force F = 4669.04 kN at 46.7 deg total moment = 30300 kN-m

Q: what is the answer?

Q: Determine the resultant of forces system shown in Figure below and locate it with respect to point…

Q: Differentiate between gage and absolute pressures

Q: Steam tables can be use. A- For a Rankine cycle prove the work input to feed water pump can written…

Q: An assembly plant uses a hoist to raise and maneuver large objects. The hoist shown in Figure is a…

Q: Determine the damping constant of the damper?

A: Given data; A mass,m=40 kg, It is attached to the free end of a iron cantilever beam. Length,l=1000…

Q: A Perfect gas (assumed to be air) is supplied to a Converging Nozzle at low Velocity at at loopsia…

A: Given Data The initial pressure is: P1=100 psia=689.476 kPa The initial temperature is:…

Q: The state of plain strain at a point in a body is given by €x = 800 x 10-6, €y = 200 x 1076, and yy…

Q: 1. Forces which do not work like constrained forces called a. Active forces b. Negative forces c.…

A: Dear student, According to the guidelines, I am allowed to answer only three…

Q: Determine the resultant of forces system shown in Figure below and locate it with respect to point…

A: given; lets take; force(F1)=120KN (downward)force(F2)=180KN…

Q: Determine the reactions in C on member ACD as shown in figure? 800 KN 5m 4m 6 m 8m 600 KN 3 m

A: For solution refer below images.

Q: Q4/ An electric power plant operating on the Carnot cycle puts heat into a river with a water…

A: ◆ The maximum temperature of the working fluid is 207℃. ◆ The quantity rejected is 30 MW. ◆ The…

Q: 2. One of the following is suited to the measurement of small, processed parts and similar items: A.…

Q: Q3/A cylinder fitted with a frictionless piston contained an ideal gas, with a volume of 23 m³, a…

Q: Determine the force in members ac,be,ce,ei & gh of truss shown in figure f h b 3m + 3m 4m g + 4m d +…

Q: A water jet impacting a conical surface (as shown). Find the force of water on the cone. V 50° V…

A: To determine the force acting on the conical surface.

Q: Q1/ In the equilibrium position shown in figure below, the uniform bar (AB) has a mass of (50 kg)…

Q: Find the moment of force about point A as shown in Figure? 10 m 90° 8 m 20 1000 KN C

Q: Task (1) A Brayton cycle with regeneration operates with a pressure ratio of 7. The minimum and…

Q: Compute the moment of the 100-lb force about A, (a) by using the definition of the moment of a…

Q: Determine the resultant of forces system shown in Figure below and locate it with respect to point…

Q: 1. The state of plain strain at a point in a body is given by = 800 x 10-6, y = 200 x 10-6, and yxy…

Q: Q3/ A cylinder fitted with a frictionless piston contained an ideal gas, with a volume of 23 m²,…

A: The system in this problem is a closed system where an ideal gas is contained in a piston cylinder…

Q: The actual trace of machined surface examined by surface profilometers is shown in the figure, me…

Q: A single plate friction clutch with both sides of plate being effective is used to transmit power…

A: Clutches are defined as the machine element which is used to engage or disengage driver and the…

Q: installed to enjoy the countryside views and is insisting on it, regardless of the cost. You have a…

A: Disclaimer from Bartleby: Since you have posted a question with multiple sub-parts, we will solve…

Q: -Q4:- If the wind speed measured on 10 m height from the earth. What the height of wind turbine…

A: Given Data The height from the earth surface is: h=10 m The speed of the wind is: V2=5 m/s To…

Q: 7 Principal stresses of a point in a critical section of a machine component are: ₁= 80 MPa 0₂= 5…

Q: Model by mechanical circuit. 2L 3 Funny

A: Given Mass = m Spring constant = k Length = L Find Equation of…

Q: what are the four primary functions of a hydraulic fluid

A: The following are the four primary functions of a hydraulic fluid: 1. It transmits power 2. It…

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 bar produces a lateral strain of magnitude 60x105 m/m when subjected
to a tensile stress of magnitude 300 MPa along the axial direction.
What is the elastic modulus of the material if the Poisson's ratio is
0.3?

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 brass plate with a modulus of elastici ty E = 16 X 106 psi and Poisson’s ratio a = 0.34 is loaded in biaxial stress by normal stresses r and cry. (sec figure). A strain gage is bonded to the plate at an angle 4 = 350 If the stress o is 10,700 psi and the strain means used by the gageise = 390 X 106.whatisthcmax- imum in-plane shear stress (Tr, ),. and shear strain (>‘ ).? What is the maximum shear strain (y ) in the x-: plane? What is the maximum shear strain (y ).. in the y-r plane?
(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 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?
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?
Determine the strain energy per unit volume (units of psi) and the strain energy per unit weight (units of in ) that can be stored in each or the materials listed in the accompanying table, assuming that the material is stressed to the proportional limit. DATA FOR PROBLEM 2.7-5 Material Weight Density (lb/in3) Modulus of Elasticity (ksi) Proportional Limit (psi) Mild sleel 0.284 30,000 36,000 Tool steel 0.284 30,000 75,000 Aluminum 0.0984 10,500 60,000 Rubber (soft) 0.0405 0.300 300
-7 A steel tube (G = 11.5 x 106 psi) has an outer diameter d2= 2.0 in. and an inner diameter dt=1,5 in. When twisted by a torque 7", the tube develops a maximum normal strain of 170 x 10-6. What is the magnitude of the applied torque T?
A rubber ball (sec figure) is inflated to a pressure of 65 kPa. At that pressure, the diameter of the ball is 240 mm and the wall thickness is 1.25 mm. The rubber has a modulus of elasticity E = 3,7 MPa and Poisson's ratio v = 0.48. (a) Determine the maximum stress and strain in the ball, (b) If the strain must be limited to 0.425, Find the minimum required wall thickness of the ball.
A solid spherical ball of magnesium alloy (E = 6.5 × l0-6 psi, v = 0.35) is lowered into the ocean to a depth of 8000 ft. The diameter of the ball is 9.0 in. (a) Determine the decrease ?d in diameter, the decrease, ?V in volume, and the strain energy U of the ball. (b) At what depth will the volume change be equal to 0.0324% of the original volume?
A specimen of copper having a rectangular cross section of 15.2 x 19.1 mm is pulled with a force of 44.5 kN, producing only elastic deformation. Calculate the strain. E is 110 Gpa.
A metal bar 5.0 m long extends by 0.05 mm when a tensile load is applied to it. The percentage strain is:
A plastic bar of 53 mm is to be twisted by torques T until the angle of rotation between the ends of the bars is 9 degree. If the allowable shear strain in the plastic is 0.018 radian, what is the minimum permissible length of the bar in mm?
Stress Strain-Behavior A specimen of aluminum having a rectangular cross section 10 mm × 12.7 mm(0.4 in.× 0.5 in. ) is pulled in tension with 35,500 N (8000 lbf) force, producing onlyelastic deformation. Calculate the resulting strain.