1. For the plate in figure 1 below, determine the exact solution fori.displacements u(x), v(y)ii.iii.yStrains Ex, Ey, YxyStresses Ox, Oy, TxyFigure 1Material constants are E and vX

(i) Here, p is pressure applied on the plate. Now, write the displacements. u(x)=-pxE

Answered: For the plate in figure 1 below,…

For the plate in figure 1 below, determine the exact solution for i. displacements u(x), v(y) ii. Strains Ex, Ey, Yxy iii. Stresses Ox, Oy, Txy y A р X

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: A very thick structure is subjected to certain traction boundary conditions on its surface. The…

A: As asked only the first three are solved. φ(x,y)=sinxAx2e-y+Bey

Q: For the three stress states given, find all principal normal stresses using the eigenvalue method.…

A: In eigenvalue approach, the eigenvalue represents the principal normal stresses and eigenvectors…

Q: Same problem is considered here again using three equal length elements. Suppose that the strain…

A: Given Data :- Strain energy of element 1 ( u1) = 0.09 N.m Strain energy of element 2 ( u2) = 0.17…

Q: 1. Given a combination of stresses on an element shown in the figure, (a) draw a Mohr’s circle…

Q: Item 4. Two cars are on the bridge as shown in the figure. Find the support force at position A and…

Q: A thin plate of linear elastic materials (E v = 0.25) is in plane stress (o, = Txz = Tyz = 0). The…

A: Given that, Modulus of elasticity of the material, E=200 GPa,Kinematic viscosity of the material,…

Q: o = nioij nj [50 10 30] 0.693) 10 95 20 30 20 15 5 = 87.47 MPa

A: The matrix operation is as follows-Here, A, B, and C are sequential matrices respectively.

Q: Q8. Determine the deflection of point B on the steel beam with I = 80×106 mm4 and E = 200 GPa. [Ans.…

A: GivenI=80×106 mm4=80×10-6 m4E=200GPa

Q: Elastic Recovery After Plastic Deformation A cylindrical specimen of a brass alloy 6.8 mm (0.27 in.)…

A: Stress is the ratio of force per unit area having the unit of N/m2 in SI system. Strain is the ratio…

Q: Given is a thin-walled tube with the following data: Wall thickness- 2mm ABC is a sector with a…

Q: For the 2-Dimensional state of stress at a point represented by the following figure: (i) Determine…

A: According to our guidelines, we are supposed to answer the first three sub parts . Please repost the…

Q: A very thick structure is subjected to certain traction boundary conditions on its surface. The…

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

Q: > 15N/m²= 1-5x 10 ³/10/cm² = 0-0015 x(10-2) 2 N/cm²= lb/ft²

Q: as depicted in the figure. As

A: given:

Q: Rockwell hardness . figure 6.19 Rockwell hardness Tensile strength = 0 MPA Tensile strength = 0 ksi…

A: (a)

Q: The strain rosette shown has angles 0, = 0° (aligned with the x-axis), 0, = 60°, and 0, = 120°, We…

Q: a. Solve for R() as a piecewise function of x b. Solve for o(x) c. Solve for ɛ(x) d. Solve for u(x)

Q: unusable, If we consider the material 2 ánd will it take to lift up material Z? Also, what will be…

A: Given: Tst,o=150°Cx=4 mm=0.004 mTi= 25°C∆ts=2 mink=0.15 W/mKρcp=1.5×106 J/m3KTo determine:Time taken…

Q: a. Determine the stress matrix for this stress state if the axes are rotated 30° counterclockwise…

A: Solution: Given Data: σ=2010010100005 To Find: (a) Determine the stress matrix for the given…

Q: E, = 200.00 pE Eb = 400.00 pe E = 150.00 pe 600 The strain rosette shown was used to obtain normal…

Q: The nodal coordinates and the nodal displacements for some plane stress elastic element is listed in…

Q: Q1) At a point in a structure subjected to plane stress, the stresses are o = 4100 psi, Gy = 2200…

Q: Emate =315 mPA G 28GPA Cmad ulus rigidi- -130 mPA nate= 185 mPA Elculate Poisson's Patio fwe have a…

Q: Q1: A circular steel rod ABCD is loaded as shown below. Use the following data to Find the maximum…

Q: Mohr's circle, invented by Christian Otto Mohr, is a graphical representation of the transformation…

Q: ate of ess at a point is characterized by the components: Ox Txy Txz' [12 3 3 4 0 10] Tyx Тух ду Tyz…

A: Given Data⇒ State of stress is given σx=12σy=4ζxy=3 Required Data⇒ Find the values of the principal…

Q: Q4: For the following state of stresses, find 1- principal stresses. 2. Principal direction 3.…

Q: For the beam with shown loading, show that the equation of the elastic curve is Wo 7w,L3 + x3 y = EI…

Q: [o] = [20 10 0 10 01 10 0 0 5] a. Determine the stress matrix for this stress state if the axes are…

A: The new stress matrix after rotation can be obtained using the following…

Q: The state of stress at a point on a thin plate is as shown in the left side of the Figure below.…

Q: Plane Stress In the stress element given in Figure 3, WITH MOHR CIRCLE; (a) Determine the principal…

A: Mohr circle is a two dimensional graphical method of expressing the normal stresses and shear stress…

Q: Home Work: The lap joint shown in the figure is fastened by four rivets of 19 mm diameter. Find the…

A: Given data asper question Diameter of the rivet =19 mm shear stress =96 Mpa Bearing stress =124 Mpa

Q: The state of stress at a point in a structure is shown in the following figure. Determine: (a) The…

Q: Q1: The stresses measured at a point on bone are ox =5 MPa ,0y = -7 MPa and txy-2.4 MPa find: 1. The…

A: Given Data σx=5MPa σy=-7MPa Txy=2.4MPa Poison ratio, v=0.3 Principle stress expression

Q: 3) Solve the plane stress problem using two-element model to find displacements and stresses. 15 kN…

Q: C= 60 R= σ1 = 02 = Determine the principal stresses 1 and 2 for the stress element shown above: Ts=…

A: The principal stresses are The maximum shear stress is The principal plane is rotated by The radius…

Q: A point on the surface of a mechanical component has the following state of plane stress o. = 90…

A: Given:- σx=90 MPaσy= -50 MPaτxy= 60 MPaTo find:-a) Draw mohrs circleb) Principal stresses and…

Q: The wedge shaped bar shown in Figure Q1 is to be analysed using a single one dimensional quadratic…

A: Given data: a) Calculate the strain shape function matrix. [B], for the element.b) Using the strain…

Q: The following stress condition is applied to a cubic material. Normal stress in the x direction is…

A: Disclaimer:Hello. Since your question has multiple sub-parts, we will solve the first three…

Q: As shown in the figure, when the temperature was 20 ° C, a 0.5 mm gap was left. Just determine the…

Q: 4. The values of the normal (ON) and shear stresses (TN) in the plane making an angle of 60° with…

A: Stress When body is subjected to a force then body will resist that force and the resistance is…

Q: P= 2 MPa K= 3 MPa B ñ = РА K P (MPa) 2 + k =i+ √6 √6 √6 C a-)Find the principal normal stresses and…

A: The value of P is 2 MPa. The value of K is 3 MPa. The unit normal vector of the ABC plane is…

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

1. For the plate in figure 1 below, determine the exact solution for
i.
displacements u(x), v(y)
ii.
iii.
y
Strains Ex, Ey, Yxy
Stresses Ox, Oy, Txy
Figure 1
Material constants are E and v
X

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 3

VIEW

Step by step

Solved in 3 steps

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 bar with varying cross section is subjected to various forces as shown below. Compute: a) Stresses in each section b) strain in each section c) total extension of the bar. Take E = 2.1x105 N/mm² 400 mm² P1=10kN A 1000 mm B 800 mm mm² P₂ P3=45KN+ 1500 mm 600 mm² 800 mm → P4-35kN
M13.6 Principal stresses from rosette data scenes -200 µE 23 Eb = 200 με Ec 500 µE 30° 30° Ex (LE) a Ey (µE) Yxy (Lurad) The strain rosette shown was used to obtain normal strain data at a point on the free surface of a steel (E = 200 GPa; v = 0.32) plate. Op1 (MPa) Determine the normal strains, the shear strain, and the principal stresses in the x-y plane. Op2 (MPa) Try One 1st 2nd 3rd attempt enter
For the prismatic bar in simple tension shown below, the stress state at any point "M" is characterized by Sig = p, and the other stress components are null. You are asked to determine the stress vector, as well as its normal and shear components, on a generic facet of normal parallel to the xy plane.
The state of stress at a point for a given reference xyz is given by the following array of terms : | 15 8 -6] 8 - 12 5| MPа - 6 5 8 Determine the principal stresses.
For a plane stress state, in the original Oxy system we know the component Ox = 120 MPa and Txy = 60 MPa. After the element (see the left figure) is rotated counterclockwise by 45°, we know the stress component Txryı = -60 MPa in the new Ox'y' system (see right figure). Determine the two principal stresses and the absolute maximum shear stress (ra). y Oy Txıy! x' Txy Ox 45 х
The plane stress displacement field for the pure bending problem was given by u = - El v = (vy? + x² - P), where -1
i need the answer quickly
A bar BD is held in a horizontal position when there is no load by the steel wire AB. When a weight Wis added at C, also hanging from a steel wire CE, then point C is displace down by 0.025in. The cross-sectional area of the wires is 0.002in². The wires are made of a steel alloy with E = 29000ksi and σy = 70ksi. Calculate the strain in both wires, and the weight W. B A N E Parameter ft L_1 4 L_2 1 L_3 2 L_4 4 The strain in AB is € AB = The strain in CE is ECE = The weight W = 30 W cc 080 BY NO SA 2021 Cathy Zupke Xlb D in./in. in./in.
Need Help With This Question
Show the following: (a) E E O = 0 leads to symmetry of stress tensor (i.e. o =o or o = o') F.F. -8)=, +u,; (b) E %3D ("n"n+"n+
i need the answer quickly
At a point on the free surface of a machine part (E = 214 GPa, G = 83 GPa), the state of the stress is illustrated in the figure below. For the given plane stress condition determine: -all 3 principle stresses, the max in plane stress, average noemal stress and the absolut max shear stress. - Show the principle stress, the max inplane shear stress and the average normal stress on an appropriate schematic