Q-1) For the given state of stress, (a) draw Mohr's circle for this state of stress and show all values on it (b) determine the principal planes and the principal stresses, (c) determine the normal and shearing stresses after the element shown has been rotated through 25° clockwise, (d) determine the normal and shearing stresses after the element shown has been rotated through 10° counterclockwise. (e) Show the max, Gmin. Op, Os, Tmax, G' values on an appropriate plane stress sketch. NOTE: The problem will be solved by only MOHR CIRCLE Method and all stresses and angles will be computed and indicated on Mohr Circle. All steps of solution will be displayed. Analytical solution will not be graded.

Q-1) For the given state of stress, (a) draw Mohr's circle for this state of stress and show all values on it (b) determine the principal planes and the principal stresses, (c) determine the normal and shearing stresses after the element shown has been rotated through 25° clockwise, (d) determine the normal and shearing stresses after the element shown has been rotated through 10° counterclockwise. (e) Show the max, Gmin. Op, Os, Tmax, G' values on an appropriate plane stress sketch. NOTE: The problem will be solved by only MOHR CIRCLE Method and all stresses and angles will be computed and indicated on Mohr Circle. All steps of solution will be displayed. Analytical solution will not be graded.

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

Similar questions

The state of stress at a point in a soil beneath a level ground surface consists of a major principal stress of 70 kPa and a minor principal stress of 25 kPa. The major principal stress acts in the vertical direction. (a) Draw the Mohr's circle of stress and show the pole point (origin of planes). (b) Determine the maximum shear stress and calculate the orientation angle (relative to horizontal) of the plane of positive maximum shear stress. (c) Determine the normal stress and shear stress on a plane that makes an angle of -20° (i.e., 20° clockwise) relative to the horizontal plane.
4 ksi The state of plane stress at a point is shown on the element. (a) Draw Mohr's circle neatly to scale, and use it to complete part (b). (b) Determine the state of stress on an element rotated 35° counterclock- 20 ksi wise from the given element. Sketch the state of stress on the rotated element element. 9 ksi -20 -10 o (ksi) -30 -20 -10 10 20 30 10 20 T (ksi)
Q1/ For the state of plane stress shown below, construct a Mohr's circle and determine:- (a) the principle stress acting at this point (b) the orientation of the principle stress (c) the maximum in-plane shear stress at the point and the corresponding average normal stress (d) the orientation of the maximum in-plane shear stress (e) show the results on elements 700 kPa 100 kPa tal stress enks 400 kPa
Determine the resulting maximum value of the normal stress. Specify the orientation of the plane on which these maximum values occur. **The answer is tensile stress is 0 ksi at 90 degrees. **The answer is compressive stress is 7 ksi at 0 degrees. Can you explain how that is? This was my thought process: I know that tensile would be zero because the force P is actually going inwards and not outwards. I know that means that there would be a compressive force. I am confused on the angles, how is a tensile force going 90 degress if there technically is no force in the tensile direction. And how is there a compressive force at 90 degrees if there is a stress? thank you!
Q2) For the state of plane stress given on the element below, construct a Mohr's circle. Use circle to determine (1) the principal stresses, (2) the principal stress direction, (3) the maximum in-plane shear stress and corresponding and normal stress. 100 MPa 150 MPa Tay - 50 MPa
3. (a) Using Stress transformation equations, determine the principal planes, the principal stresses, the maximum in-plane shear stress and the corresponding normal stress. (b) Solve part (a) using Mohr's circle. 100 MPa 75 MPa 150 MPa
The Mohr's circle representing a given state of stress is shown. The diagonal line AB represents the original orientation where point A corresponds to the x face and point B corresponds to the y face. a) Show the stresses represented by line AB on the provided stress element. 60 X -30-1 {MPa} y T(MPa) b) Determine the principal stresses and show them on a properly oriented stress A element. y X 40 B 20p 30 40 40
Two forces are applied on the beam shown below. (a) Determine the normal and shear stresses at point B on the shown cross-section. (b) Show the state of stress at the point B on a volume element. 400 lb B 1 in. 2 in. 500 Ib 2 in 10 in. 1.5 in. 1.5 in. Show your steps and highlight the following answers please I =
Mohr’s circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 16 MPa in size. (a) Determine the stresses σx, σy, and the magnitude of τxy and show them on a stress element. (b) Determine the stresses σn, σt, and the magnitude of τnt and show them on a stress element that is properly rotated with respect to the x-y element. The sketch must include the magnitude of the angle between the x and n axes and an indication of the rotation direction (i.e., either clockwise or counterclockwise).
Draw Mohr’s circle that describes each of the following states of stress.
Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 1 MPa in size. (a) Determine the stresses o, o, and the magnitude of Tyand show them on a stress element. (b) Determine the stresses o,, Og and the magnitude of Tht and show them on a stress element that is properly rotated with respect to thex-y element. The sketch must include the magnitude of the angle between thexand n axes and an indication of the rotation direction (i.e., either clockwise or counterclockwise). Answer: (a) Ox= MPа MPa Oy= MPa Txy = (b) On= MPa MPa Ot = MPa Tnt =
The state of stress at a point on an element of material is shown. Let sigmaX= 49.0 ksi, sigmaY= 17.0 ksi, and Txy= 11.0 ksi. Use this information to represent the principle state of stress and maximum in plane shear stress. Plot the mohr circle and state sigmaX' and sigmaY' and Tx'y' with unit. Also draw the state of stress on the rotated element.