The plate in Figure is loaded so that a state of plane strain (₂z = Ex € = 0) exists. (a) Determine the displacements for the plate for the deformations shown and the strain components at point B.

The plate in Figure is loaded so that a state of plane strain (₂z = Ex € = 0) exists. (a) Determine the displacements for the plate for the deformations shown and the strain components at point B.

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 7.7.20P: A strain rosette (see figure) mounted on the surface of an automobile frame gives the following...

See similar textbooks

Related questions

Q: 1. Determine the reaction and moment at point A and draw the Shear force and Bending moment diagrams

Q: What is the location of FR, i.e., the distance d? (a) 2 m, (b) 3 m, (c) 4 m, (d) 5 m, (e) 6 m. 3 m 3…

A: To determine:The location of FR ie the distance d.

Q: An ideal Otto cycle has a compression ratio of 8. At the beginning of the compression process, air…

Q: For the given loading system, find the equivalent resultant force and couple moment acting at point…

A: Two types of load are acting on the two goven beams.To determine:The equivalent resultant forceThe…

Q: specify the height h wh so that it lies through

A: The force acting on the wall per unit length is expressed as follows-

Q: Q. 2: Method Planform Design You are to design candidate wings for a sport RC electric aircraft to…

A: To Find: the chord distribution.The angle of attack distribution.the induced drag.the Lift-to-Drag…

Q: 2. The figure shows a traffic-light assembly with three identical 100-lb traffic lights at B, C, and…

A: We must evaluate the forces affecting the traffic light assembly in order to find a solution to this…

Q: 5/65 Using the methods of this article, determine the sur- face area A and volume V of the body…

A: According to the given dataWe need to findThe surface area and volume of the body.

Q: Derive the following equation? @2 0.622P 82 P₂ - P

Q: As shown, a submarine hatch door is to be opened by applying two oppositely oriented forces of equal…

Q: A vessel of 0.15 m3 volume containing saturated-vapor steam at 150°C is cooled to 30°C. what is the…

Q: Problem 81. The two mine cars of equal mass are connected by a rope which is initially slack. Car A…

A: The initial velocity of car A is The initial velocity of car B is .The loss in kinetic enrgy of car…

Q: 1- A boiler plant comprises a boiler, superheater, economizer and air preheater. The feedwater…

Q: Consider a 210-MW steam power plant that operates on a simple ideal Rankine cycle. Steam enters the…

A: Given:To find:Quality of the steam at the turbine exit.

Q: Find the total Force acts on cuvy right tring Plate. as shown infigi 18.9790 1 Water R=3! R=3 b=2m…

A: Water with density= 9790 N/m3other density is R= 3 N/m3To find: Total force

Q: calculate the magnitude of the shear stress at the point due to internal shear on the section.…

A: To calculate the normal stress, internal bending moment and shear stressthe following data istensile…

Q: At the bottom of a water storage tank, the pressure is 31.2 lb/in2 . What is the pressure head?

Q: The roller at A can support a maximum load of 4kN. Determine the maximum intensity of the…

Q: 1 208000 1 208000 (THoop – 0.29 X ĀLong ) = 266 X 10-6 - (-0.29 x + Long) = 69.6 × 10-6 НООР = X

Q: ent of a vehicle increases when its windows are rolled down or its sunroof is opened. A sports car…

A: The frontal area of the car, A = 18 ft2.Drag coefficient when the sunroof is closed, CD1 = 0.32.Drag…

Q: 1. Create a free-body diagram for the above condition and apply the sign convention for forces and…

A: Mass of the man, mass of the box, angle in horizontal plane,the distance from the center of the…

Q: *3–72. Replace the force system by an equivalent resultant force and couple moment at point P. 0.75…

A: Given data :- The force system Determine:- The equivalent resultant force and couple moment at point…

Q: For the symmetric queen truss shown here, determine the length of member DC. Round your answer to…

A: For the solution refer below images.

Q: An ideal turbojet ingests 192 lbm/s of air at an altitude of 22,000 ft. It fliesat a Mach number of…

A: Mass flow rate of air= 192 lbm/sAltitude = 20,000 ftMach No= 0.88Compressor pressure ratio = 17the…

Q: Based on Equation 5.46, what value of β would result in the annual minimum value of the incidence…

A: To Find:The value of β would result in the annual minimum value of the incidence angle i.Given:The…

Q: 2) 1 kg of air undergoes a thermodynamic cycle consisting of three processes. Process 1-2: constant…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: An industrial company has factories and distribution centers and is considering finding a location…

A: Given:To find:Location of the third factory and total associated cost.

Q: Determine the value of the support reactions at A and G. Use method of joint to find forces in…

Q: Determine the state of stress at point A on the cross section of the pipe assembly at section a - a.…

A: Given:Figure is givenF1 = 1520 NF2 = 1100 Nd =40 mmr = 20 mmTo find:A) State of stress at point AB)…

Q: En=-A/r+ B/r^n. A= 4.0 eV*nm, B= 5*10^-6 eV*nm^8, n=8. what is the r value?

A: Ans Given Now Now to find equilibrium interonic spacing where is the equilibrium interonic…

Q: Problem 1 - Heat Engine ( A heat engine that propels a ship produces 400,000 lbf-ft/lbm while…

Q: Solve the transfer function of the Mechanical system as shown below. Find X₁(s)/U(s) and X₂…

A: Given:To find:Find and .

Q: EXAMPLE 6.8 Draw the shear and moment diagrams for the cantilever beam in Fig. 6-15a. 2 kN 2 m 1.5…

Q: 3. Draw the projections of a regular hexagon of 20 mm side, having one of its sides in the H.P. and…

A: Object: Regular HexagonDimensions: 20 mm diameterCondition: One side in H.P

Q: Problem 4-Carnot Heat Engine ( A Carnot heat engine operates between a source at 600°C and a sink at…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Calculate the critical resolved shear stress (magnitude) in crystal if a stress of 100 MPa in the SP…

Q: A fluid flows between two parallel plates held at temperature zero. At the inlet, fluid temperature…

A: Given:To find:Solve the eigenvalue problem.

Q: A Pelton wheel has a mean bucket speed of 15 m/s with a jet of water impinging with a velocity of 40…

A: Given data, Speed of bucket Discharge R=density=Angle of deflection ,Now, Velocity of jet And, And ,

Q: A 10-mm diameter steel bar having Su = 1200 MPa and Sy = 950 MPa has a fine-ground surface. Estimate…

Q: A 45-lb sheet of plywood rests on two small wooden blocks as shown. It is allowed to lean 18° from…

Q: How are you solving the equations in step 4 to get the values for Tad, ab, ac? Especially when each…

A: We have following equations

Q: What is the difference between closed reduction and open reduction? In what type of fracture would…

A: Closed reduction and open reduction are two different surgical procedures used to treat fractures,…

Q: Determine the values of a and b so that the shown beam is in equilibrium when F = 1.5 kN and M = 2.5…

Q: 2. Show that the natural frequencies and modes for the 10 bar element mesh below are: 54 (U) 54.-0…

Q: change the disturbed load formula to w= (0.08x^3 + 100) lb/ft *you must use integration for this

Q: An air-conditioner with refrigerant-134a as working fluid is used to keep a room at 23°C by…

Q: A servo-driven actuator is programmed to extend according to the velocity profile shown in figure…

Q: Figure 1 shows a spring assemblage of three springs with spring constant of k₁ = 10,000 k₂ = 20,000,…

A: There are 4 nodes and with 3 elements

Q: 5. 6. Effect of the strain rate and temperature on the shape and magnitude of the stress- strain…

A: 5-Effect of strain rate and temperature on the shape and magnitude of the stress-strain…

Q: A member of a 3D truss is located between the origin of rectangular coordinates and point P…

A: Given:To find:Average extensional strain in the member.

Question

Q3/
The plate in Figure is loaded so that a state of plane strain (E = € =
€ = 0) exists.
(a)
Determine the displacements for the plate for the deformations shown
and the strain components at point B.
0
3.0 m
0"
1.5 m
3 mm
6 mm
Straight lines.
201

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Write the given data and what is to find

VIEW

Step 2: Determine the displacement function along the x-axis:

VIEW

Step 3: Determine the displacement function along the y-axis:

VIEW

Step 4: Determine the strain components at point B:

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 11 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 strain rosette (see figure) mounted on the surface of an automobile frame gives the following readings: gage A,310 × 10-6:gage B,180 × l0-6; and gage C. -160 × 10-6. Determine the principal strains and maximum shear strains, and show them on sketches of properly oriented elements.
During a test of an airplane wing, the strain gage readings from a 45° rosette (see figure) are as follows: gage A, 520 × l0-6; gage B. 360 × l0-6; and gage C,-80 × 10-6. Determine the principal strains and maximum shear strains, and show them on sketches of properly oriented elements.
The strain components E, Ey, and yyare given for a point in a body subjected to plane strain. Using Mohr's circle, determine the principal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle 0p, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = 440 µE, ɛ, = -810 µE, Vxy = -540 µrad. Enter the angle such that -45°s0,s +45°. Answer: Ep1 = Ep2 = Ymax in-plane prad Yabsolute max. prad 0, =
Q4 A three strain gages have been attached directly to a piston used to raise a medical chair, the strain gages give strains as Ea = 80 µ , Eb = 60 µ and Ec = 20 u . Determine the principal strains and the principal strain directions for the given set of strains. And Compute the strain in a direction -30° (clockwise) with the x axis. 45 Pump
The strain components ɛ, Ey, and yy are given for a point in a body subjected to plane strain. Using Mohr's circle, determine the principal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle 0, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = 300 µe, ɛ, = -710 pe, Vxy = -440 urad. Enter the angle such that -45°s0,s +45°. Answer: Ep1= pe Ep2= με Ymax in-plane = prad Yabsolute max. prad Əp =
A material is subjected to the following strain system,ex=200x10-6, ey=-56x10-6,yxy=230x10-6. Using graphical method, determine A. The principal strains B. The directions of principal strain axes C. The linear strain on an axis inclined at 50o counter clockwise to the direction of ex Given that young's modulus for the material is 207GN/m2 and the poisson's ratio is 0.27, determine the principal stresses
Q4 A three strain gages have been attached directly to a piston used to raise a medical chair, the strain gages give strains as ɛa = 80 µ , Ep = 60 µ and Ec = 20 µ . Determine the principal strains and the principal strain directions for the given set of strains. And Compute the strain in a direction -30° (clockwise) with the x axis. a,x A c.y Pump
The strain components at a point in a body subjected to plane strain are & 850μ, Ey -300μ, and Yay 400μ. Determine the principal strains and the maximum shearing strain at the point. Show the principal strain deformations and the maximum shearing strain distortion on a sketch. = = =
I Review The state of strain at the point has components of e, = 230 (10 6), e, = -240 (10 ), and Yay = 500 (10 6). Part A Use the strain-transformation equations to determine the equivalent in-plane strains on an element oriented at an angle of 30 ° counterclockwise from the original position. (Figure 1) Enter your answers numerically separated by commas. AEo 1 vec E, Ey', Yr'y = Figure étv
The state of plane strain on an element is represented by the following components: Ex =D340 x 10-6, ɛ, = , yxy Ey =D110 x 10-6, 3D180 x10-6 ху Draw Mohr's circle to represent this state of strain. Use Mohrs circle to obtain the principal strains and principal plane.
Your answer is partially correct. The strain components for a point in a body subjected to plane strain are ɛ, = -890 µɛ, ɛ, = -690µɛ and yy = -682 prad. Using Mohr's circle, determine the principal strains (ɛp1 > Ep2), the maximum inplane shear strain yip, and the absolute maximum shear strain ymax at the point. Show the angle 0, (counterclockwise is positive, clockwise is negative), the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Answers: Ep1 = 927.99 με. Ep2 = 1116.0 PE. Vip = 188.01 prad. Ymax = -188.01 prad. Op = 36.82
QB3 TWO DIMENTIONAL STRAIN Three strain gauges were arranged in the form of a rectangular rosette and positioned on a test surface. The measured strains were as follows: E1 = 200x 106 E2 = 100 x 10-6 E3 = 50 x 10-6 Determine a) the principal strains and the principle stresses b) the direction of the greater principal strain relative to gauge 1 and sketch the Mohr strain circle. Take the Young Modulus of Elasticity value to be E = 200 GN/m² and Poisson's ratio u = 0.28.