Figure Q4 shows the values of the normal and shear stresses acting on a certain stress element which is in plane stress. a) Draw Mohr's circle for this element, clearly showing the locations and values of the stresses in Figure Q4, the co-ordinates of the centre of the circle, and the radius of the circle. b) Use the Mohr's circle drawn in (a) to find the principle stresses and maximum shear stress associated with this stress element, and locate and label them on the circle. Show the principle stresses on a stress element oriented at the principle stress angle. c) Use the Mohr's circle drawn in (a) to find the stresses acting on an element rotated by 50 degrees anticlockwise, and show the stresses on a properly oriented stress element.

Figure Q4 shows the values of the normal and shear stresses acting on a certain stress element which is in plane stress. a) Draw Mohr's circle for this element, clearly showing the locations and values of the stresses in Figure Q4, the co-ordinates of the centre of the circle, and the radius of the circle. b) Use the Mohr's circle drawn in (a) to find the principle stresses and maximum shear stress associated with this stress element, and locate and label them on the circle. Show the principle stresses on a stress element oriented at the principle stress angle. c) Use the Mohr's circle drawn in (a) to find the stresses acting on an element rotated by 50 degrees anticlockwise, and show the stresses on a properly oriented stress element.

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: For each of the stress states listed below, find all three principal normal and shear stresses. Draw…

A: Find outFind all three principal, normal, and shear stresses. Draw a complete Mohr's three-circle…

Q: Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid…

Q: Q2 The state of stress at a point of an elastic solid is given in the x-yz coordinates by: (a)…

A: (a) Write the given matrix. σ=σxxσxyσxzσyxσyyσyzσzxσzyσzz=901800180240000120 MPa

Q: find the resultant force of following like parallel forces p1=20n ,p2=50n,p3=60n,p4=70n .take…

A: Assumption 1) Considering Coplanar forces

Q: plane stress: The point in a material is subjected to the state of generalized UV O=160+. 10 in MPa,…

A: Given:To find:

Q: 3. A 65 mm diameter solid shaft is subjected to force and torque as shown in the figure below.…

A: Given, Diameter, D=65 mm,Cross-section Area, A=π4D2A=π4652A=3318.307 mm2 Calculate the stress due to…

Q: The internal loadings at a section of the beam in Elouce.1) are shown Figure 100 mm 0 mm 200 mm 10…

A: Given: Fx=-80 kNFy=60 kNMy=500 N.mMz=10 kN.m=10×106N.mm

Q: Calcuate torsion From Point A to Point C, Calcuate Bending From Point A to Point B and Point A to…

A: For the solution refer below images.Find F.B.D. and shear and bending diagrams for portions AB and…

Q: Given a stress state of a, = -4 MPa, a, = 12 MPa, ty = 7 MPa cew 1) Draw a properly oriented stress…

Q: At a point on a component, the stress has been calculated. The direct stress in the x direction is…

Q: Q1. For the given cube below, complete the following: 1.find the center, radius (R), principal…

Q: Calcuate torsion From Point A to Point C, Calcuate Bending From Point A to Point B and Point A to…

A: For the solution refer below images.Find F.B.D. and shear and bending diagrams for portions AB and…

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 state of stress at a point in a member is shown on the rectangular stress element in (Figure 4)…

Q: Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid…

Q: B) The Figure shows Mohr's circle for a point in a physical object that is subjected to plane…

Q: 1. This question relates to stresses due to combined loading. A shaft subjected to combined torsion…

A: Given: The stress in x-direction = -130 MPa The shear stress acting on element = 90 MPa

Q: Calcuate torsion From Point A to Point C, Calcuate Bending From Point A to Point B and Point A to…

A: For the solution refer below images.Find F.B.D. and shear and bending diagrams for portions AB and…

Q: For the state of stress shown in figure (a=54 degrees), determine (a) The normal and shear stress…

A: Given on an oblique plane

Q: The stresses acting on element A in the web of a train rail are found to be ‘X (MPa)’ tension in the…

A: Given data:-σx=75MPa, σy=-90MPa(-ve for compression) and τxy=40MPa⇒Center of Mohr's…

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: Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid…

A: To study the given mohr's circle and determine the given stresses.

Q: Calcuate torsion From Point A to Point C, Calcuate Bending From Point A to Point B and Point A to…

A: For the solution refer below images.Find F.B.D. and shear and bending diagrams for portions AB and…

Concept explainers

Stress transformation

The term stress indicates the measure of internal forces that develop due to an external force's application on an object. When a specific external force is applied to an object, internal stress generates in the material. The value of stress can obtain by taking the ratio of the externally applied force and cross-sectional area of the object. There are different types of stress depending on the type of external force.

Question

Figure Q4 shows the values of the normal and shear stresses acting on a certain stress element which
is in plane stress.
a) Draw Mohr's circle for this element, clearly showing the locations and values of the stresses
in Figure Q4, the co-ordinates of the centre of the circle, and the radius of the circle.
b) Use the Mohr's circle drawn in (a) to find the principle stresses and maximum shear stress
associated with this stress element, and locate and label them on the circle.
Show the principle stresses on a stress element oriented at the principle stress angle.
c) Use the Mohr's circle drawn in (a) to find the stresses acting on an element rotated by 50
degrees anticlockwise, and show the stresses on a properly oriented stress element.

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 with 3 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

Q6 Beta =111 Please provide justified answer asap to get a upvote
The state of plane stress at a point is represented by the element shown in the figure. Oy o, = 200 Mpa oy = 450 Mpa Txy Try 3D200 Мра Click here to see all formulas Ox Part A - Determine the maximum principal stress in Mpa. O 253 О 355 O 507 O 760 O 608 Submit Request Answer O O O O O
Please work out part A and B
The topic is all about the different kinds of stresses the simple stress, simple normal stress, simple shearing stress. Also, show the conversion in the solution. Please use and paper to solve and use 3 decimal places. Provide also a step-by-step solution to be able to understand Thank you.
A member is subjected to a major stress of 110 MPa (tensile), minor stress of 40 MPa (tensile) along with a counter clockwise shear stress of 30 MPa. Calculate the Normal stress, tangential stress, Resultant stress and its inclination on plane make 20 to major stress. Validate your analytical results by drawing Mohr’s circle. i) Normal Stress (unit is MPa) = (ii) Tangential Stress (unit is MPa) = ) Resultant Stress (unit is MPa) Resultant inclination (unit in degree) =
Q: The soil element with known stress conditions is shown in following figure. (i) construct Mohr's circle for the soil element and determine (ii) stress condition of the plane AC (use double angel method); (iii) major and minor principal stresses; (iv) the angle between major principal plane and the plane "AD" ; (v) maximum shear stress. Provide your answer up to one decimal point. [use graph paper to draw Mohr's circle] 2 kN/m² 6 kN/m² + + B D 2 kN/m² 2 kN/m²
In the figure, a force of 1 kN is applied by means of an arm connected to a shaft with a diameter of 50 mm. So, represent the stress state of point B on the element? b) Draw the Mohr's circle for the given stress member and calculate the principal stresses?
Hertz contact theory can be used to determine the stresses due to contact between two spheres, which can be used approximate frictionless contact between the patellar and femoral components of a total knee replacement. Part a) Show on a sketch how the stresses at the surface vary from the centre of contact to the edge of contact. Part b) Make a sketch of an infinitesimal element of material at the centre of contact that shows the stress components. Identify the maximum principal stress, and write an expression for the maximum shear stress. Part c) Sketch a graph that shows how the maximum contact pressure varies with load and in a sentence explain why the curve has the shape it does.
In some detail discuss the following: 1) The stresses that would be of concern at the various points shown (A-D) from the external pressure and the applied loads P and F. Don't be afraid to use drawings here! F B y D В C
Question 2) arm of Figure B from point x z plane, a horizontal angle of θ = 38 ° angled F = 29 kN force sized and C from the point z direction M = 17 kn.m acts a moment in size. The lengths of the arm are also given as L 1 = 1.5 m and L 2 = 1.1 m . It is desired to determine the stress state of point A on the aa section taken from the arm. The radius r of the section is r=0.015 m and the shear modulus of the arm material is also G = 78 Gpa . According to this; Question 2-C) Find the normal stress caused by the normal force at point A ( Write your result in MPa .) Question 2-D) Find the normal stress caused by the bending moment at point A. (Your result MPa in the size of your font.)
A rectangular column (blue color) is fixed to a rigid ground (brown color). As shown in the figure, the column is under two external loadings at C. Determine the state of stress at point K of the column and represent the stress components on a stress element.
EMFT