Answered: A sheet of copper is stretched…

A sheet of copper is stretched biaxially in the xy-plane. If the strains in the sheet are e, = 0.40 × 10-³ and ey = 0.30 × 10-³, determine a, and ay. Use E = 110 GPa and v = 0.35.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.7.1P: An element of material in plain strain has the following strains: x = 0.001 and y = 0.0015. (a)...

See similar textbooks

Related questions

Q: 5. The torques shown are exerted on pulleys A and B. The diameter of the shaft AB is dAB = 50mm whil...

A: To transmit energy by rotation it is necessary to apply a turning force. in the case of a shaft if t...

Q: / 1 If acceleration due Jo gravity J 13 m What weill he the patentinl energu t body b af mass 2kg ke...

A: Given data : Acceleration due to gravity = g Mass = m Height ...

Q: Q2) The system shown in Figure 2 is open to 1 atm on the right side. If L = 120 cm, what is the air ...

Q: A small turbine runs an airoraft reirigeration system. Air enters the turbine, at 4 bar and 40°C wit...

Q: A steam power plant operates on the ideal Rankine cycle producing a net power output of 120 MW. The ...

A: Answer: ◆ The quality of steam entering the condenser is 74.10%. ◆ Qa = 3155.71 kJ/kg , Qr = 1795.96...

Q: Provide a general description of the type of furnace

A: A furnace is a device that produces and transfers heat to materials with the goal of causing phys...

Q: The wheel rolls without slipping at constant angular velocity o-5 rad/s. At the instance shown, use ...

Q: er the arm shown in Figure 1. rd kinematics problem. on of the end effector (x; y; z)* , solve the i...

A: Kinematics - Kinematics is the part of mechanics which informs us regarding the movement disregardin...

Q: Controlling the rate of flow in a hydraulic circuit allows for speed control of hydraulic cylinders ...

A: Controlling the rate of flow in a hydraulic circuit allows for speed control of hydraulic cylinders ...

Q: 2) A vertical force FI acts on a frame shown in figure Q.2. Calculate the moment about C. Length of ...

A: Answer: The moment about point C is 45.46633 N•m.

Q: Five kilograms of a perfect gas expands polytropically from a pressure of 1 MPa and temperature of 3...

Q: ermine the weight “W” of the heaviest cylinder that can be supported in the position as shown in the...

A: From above diagram-

Q: What are the most essential parts of the Surface Grinding Machine for it to function?

Q: Q1// A heat engine receives 1000 KJ of thermal energy from a heat source. (60%) of the resulting wor...

Q: Steam enters a turbine operating at steady state at 850oF and 450 lbf/in2 and leaves as a saturated ...

Q: A single-cylinder four-stroke diesel engine running at 2241 p.m. has a bore of 7.6cm and a stroke of...

A: Volumetric Efficiency:- Volumetric efficiency is defined as the ratio of actual suction volume of ai...

Q: Given data: Coefficient of friction=D0.5 Normal force=50 N Find friction force

A: Given data : Coefficient of friction=μ Normal force=N To find : Friction force

Q: An air stream, with T1 =0 C, p1 = 60.0 kPa (abs), and V 497 m/sec, undergoes a normal shock. Determi...

Q: State the uses of each tools: 1. parting off tool 2.boring tool 3. undercutting tool 4. thread t...

Q: A block is subjected to a compressive force of 2kN. Determine the shear stress and the normal stress...

Q: The number of pups in wolf dens of the southwestern United States is recorded below for wolf dens: 5...

Q: outside diameter (in mm) of the shaft

A: Given; Length,L=1 m Power,P=30 kWRotating speed,N=700 rpmPermissible twist in the shaft= 10Inner dia...

Q: Use the method of members to find the components of the forces acting on the frame with P=750N and Q...

Q: Q1// A heat engine receives 1000 KJ of thermal energy from a heat source. (60%) of the resulting wor...

Q: During orthogonal cutting of MS with a 15degree rake angle tool, the chip thickness ratio was obtain...

A: Given Data r=0.2 Rake angle a=15°

Q: A hypothetical A-B alloy of composition 54 wt% B-46 wt% A at some temperature is found to consist of...

A: Given data as per the question Percentage of A =54% Percentage of B = 46% mass fraction =0.5

Q: 5. A polymer is used for shrink-on banding to keep cardboard boxes from popping open during shipment...

A: we assume that the polymer can be described by a Maxwell model as below

Q: 6. 308 Moles of He has pressurized to 17167kPa at 20*C cylinder 20cm diameter at 1m^3 20*C water ba...

A: Given: Number of moles of He→n=308 mol Temperature of the He→T=20°C=293.15 K Diameter of the cylinde...

Q: V Use the engincering stress strain diagram provided below to answer parts (A) to (1) below (the str...

Q: 2. Draw and Explain Schematic diagram of Geo Thermal power plant. Discuss its advantages.

Q: What is the partial pressure (in atm) of the water vapor present in 1000 g of moist air that contain...

Q: Find the brake power of the engine running at 755 rpm. The iength of lever from centre of pulley is ...

Q: if a hydraulic system has a cylinder containing fluid trapped between two pistons with equal diamete...

A: Given Pressure, P = 25 J Diameter = d Find Force, F

Q: Question 4 ) Listen AV-belt is wrapped around a Ø5.00-inch pulley with a 38.0° groove angle. Calcula...

A: Given data-angle in degree for belt wrap=38.0°C

Q: Determine the normal stress (in Mpa) in member AB of the truss shown if it is made up of a 34-mm-squ...

Q: Water undergoes an adiabatic and reversible process from 0.5 MPa, 5000C to 50 kPa. Calculate the fin...

A: Givenworking fluid -waterP1=0.5MPa =500kPaT1=500oC=773KP2=50kPa

Q: Consider a propeller-type wind turbine with following specification Air density = 1.2 Kg/m³ Interfer...

A: Givenρ=1.2kg/m3a=0.2D=80mV=10m/s

Q: Before the 400-kN load is applied, the rigid platform rests on two steel bars, each of cross-section...

Q: Problem 2: The pulleys are frictionless and of negligible weight 150 kg C A 200 kg B 300 kg Find: 2....

Q: A river section shown has an initial volume of 600m with 750g of phosphorus. The discharge from the ...

A: (a) Write the discharge from upstream. Q1=100 m3day2gm3=200 g/day

Q: If the motor draws in the cable with an acceleration of 3 m/s^2, determine the reactions at the supp...

Q: The pump is used with a 3-in.-diameter hose to draw water from the cavity. Include frictional head l...

Q: A wheel of mass mg = 5 kg, outer radius ro = 0.6m, r; = 0.3m, and mass moment of inertia lg = (mg*r....

Q: 2. A rock is thrown with an initial vertical velocity component of 30 m/s and an initial horizontal ...

Q: . Find the greatest length

A: To find greatest length of aluminium wire

Q: Explain the different experimental methods that would relate stress with strain to determine the str...

A: Stress-strain characteristics of a material gives an impression on how the material behave under var...

Q: A 1018 steel wedge will be created with Sy = 63 Kpsi and a factor of safety of 1.5. The axis where t...

Q: Example 5 The total mass, wing area, cruising speed, and air resistance power of a small aircraft ar...

A: Givenm=1800kgA=42m2V=280 km/hr =280×1033600=77.78m/sPa=190kWH=4000m

Q: 3) Compute the centroid of the shaded area shown in figure Q.3 y R50 R30 120 100 25 50

Q: Saturated water vapor at 200.111 oC is isothermally condensed to a saturated liquid in a piston-cyli...

Concept explainers

Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.

Question

100%

Generalized Hooke's Law

Please include a free-body diagram.

A sheet of copper is stretched biaxially in the xy-plane. If the strains in the
sheet are e = 0.40 × 10-³ and e, = 0.30 × 10-³, determine o, and ay. Use E = 110
GPa and v = 0.35.

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 1 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

- 7.2-26 The strains on the surface of an experiment al device made of pure aluminum (E = 70 GPa. v = 0.33) and tested in a space shuttle were measured by means of strain gages. The gages were oriented as shown in the figure. and the measured strains were = 1100 X 106, h = 1496 X 10.6, and = 39.44 X l0_. What is the stress o in the x direction?
An element of material in plain strain has the following strains: x = 0.001 and y = 0.0015. (a) Determine the strains for an element oriented at an angle = 250. (b) Find the principal strains of the element. Confirm the solution using Mohr’s circle for plane strain.
2. A sheet of copper is stretched biaxially in the xy-plane. If the strains in the sheet are Ex = 0.40 x 10-3 and ɛy = 0.30 x 10-3, determine ox and oy. Use E = 110 G Pa and v 0.35. Ox %3D Oy I I|
Ex4: Determine the average normal strains in the two wires in Fig. 2-5 if the ring at A moves to A'. 3 m - 3 m B 4 m |20 mm 10 mm
For the state of a plane strain with Ex, Ey and yxy components: (a) construct Mohr's circle and (b) determine the equivalent in-plane strains for an element oriented at an angle of 30° clockwise. Ex = 250 x 10-6 Ey = 310 x 10-6 Yxy = -100 × 10-6
1.A sheet of copper is stretched biaxially in the xy-plane. If the strains in the sheet are epsilon_{x} = 0.40 * 10 ^ - 3 and epsilon_{y} = 0.30 * 10 ^ - 3 determine and Use sigma_{y}; E = 110 GPa and y = 0.35 . sigma_{x}. Use E= 110 GPa and v=0.35. Show complete free body diagram.
A sheet of steel is stretched biaxially in the xy-plane. The strains in the sheet are described below. Determine the stresses along the x and y axes. Use E=200 GPa and v=0.28 Ex = 0.4 x 10‐³ Ey = 0.3 x 10‐³
A rectangular titanium plate has the followingdimensions. a = 20 mm, b = 15 mm, and c=5 mm. Uniformly distributed tensile forces of 7.50 kN act in the z direction. Determine the strains in the x, y, and z directions. Let E = 120 GPa, and v = 0.35.
6. Two bars are used to support a load P. When unloaded, AB is 5 in. long, AC is 8 in. long, and the ring at A has coordinates (0, 0). If a load is applied to the ring at A, so that it moves it to the coordinate position (0.25 in., -0.73 in.), determine the normal strain in each bar. (Use the figure in Prob.5)
2. A sheet of copper is stretched biaxially in the xy-plane. If the strains in the sheet are 0.40 x 10 - in the x direction and 0.30 x 10 in the y direction, determine the stresses in the x and y direction. Also, determine the strain in the z direction. The modulus of elastic and Poisson's ratio of copper is 110 GPa and 0.35 respectively. 3. If the copper in no. 2 is changed into steel with the same dimensions and with a modulus of elasticity of 200 GPa and a Poisson's ratio of 0.30, determine the strains in all direction if the same stresses in no. 2 where to be applied to the steel. €, E,
The strains on the surface of an experimentaldevice made of pure aluminum (E = 70 GPa,n = 0.33) and tested in a space shuttle were measuredby means of strain gages. The gages were orientedas shown in the figure, and the measured strainswere εa = 1100 X 10-6 , εb = 1496 X 10-6 and εc = -39.44 X 10-6What is the stress σx in the x direction?
5. Two bars are used to support a load. When unloaded, AB is 5 in. long, AC is 8 in. long, and the ring at A has coordinates (0, 0). If a load P acts on the ring at A, the normal strain in AB becomes EAB = 0.02 in/in., and the normal strain in AC becomes EAC = 0.035 in/in. Determine the coordinate position of the ring due to the load. 60 5 in. 8 in. A P