The state of stress shown to the left was produced by a combination of loadings on a body that is not shown. Determine the following via Mohr's circle: A) Draw Mohr's Circle for the x-y plane. B) Determine the principal stresses - All 3. C) Sketch a properly oriented differential element showing the principal stresses in the x-y plane. D) Determine the magnitude of the maximum shear stress in the x-y plane. E) Sketch a properly oriented differential element showing the maximum shear stress state in the

The state of stress shown to the left was produced by a combination of loadings on a body that is not shown. Determine the following via Mohr's circle: A) Draw Mohr's Circle for the x-y plane. B) Determine the principal stresses - All 3. C) Sketch a properly oriented differential element showing the principal stresses in the x-y plane. D) Determine the magnitude of the maximum shear stress in the x-y plane. E) Sketch a properly oriented differential element showing the maximum shear stress state in the

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

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A state of plane stress is illustrated in the stress element in Figure 3. (a) (b) 30 MPa Figure 3. 40 MPa 60 MPa y X Find the center, X and Y of the Mohr circle. Plot the Mohr circle using these points. From the Mohr circle, find the principal stress and the maximum shear stress. Indicate on the Mohr circle where these values are found.
For the flat stress state shown in the figure. Use Mohr's circle to determine (show the procedure only with the use of geometry): a. Draw Mohr's circle indicating coordinates of the points that represent the given stress state, center, radius, coordinates of the points that represent the state the maximum and minimum normal stresses, coordinates of the maximum shear and angle of rotation from the stress given to the plane principal. b. Use the results of literal a to draw the element subjected to main forces and the element subjected to maximum shear. 12 MPa 19 MPа y 19 MPа 46 MPа 46 MPа 19 MPа 19 MPа 12 MPa
Problem 3. Strains are measured on the surface of a structural component as &A = = 1200 x 10-6. EB = 500 x 10-6, &c = 300 × 10-6. E = 200 GPa and v = 0.3. b) a) Find the principal stresses and show these on a sketch of a properly oriented element. Use Mohr's Circle to find the stresses at 0 = 30° counterclockwise from the x axis and show these on a sketch of a properly oriented element. y 60° C B A X
Part C - Counterclockwise Rotation of a Stress Element The state of stress at a point in a member is shown on the rectangular stress element in (Figure 5) where the magnitudes of the stresses are |o₂| = 16 ksi, |oy| 29 ksi, and Try = 8 ksi Determine the state of stress on an element rotated 50° counterclockwise from the element shown. Express your answers, separated by commas, to three significant figures. ► View Available Hint(s) 02 Oy, Tz'y' Submit - VE ΑΣΦ ↓↑ vec Part D-Clockwise Rotation of a Stress Element with No Shear Stress ? ksi, ksi, ksi The state of stress at a point in a member is shown on the rectangular stress element in (Figure 6) where the magnitudes of the stresses are ₂ = 13 ksi and|oy| = 12 ksi Figure Part A - State of Stress on an Inclined Plane <
The state of stresses at a point of a structure is shown in the figure below.A- find the principal stresses (show the results in a correctly oriented sketch).B- find the maximum shear stress with its average stress (show the results in a correctly oriented sketch).
2.7. The principal stresses at a given point are ơj =10 MPa, ơ2=-100 MPa. Sketch Mohr's circle for this state of stress and determine the normal stress on a plane in- clined at an angle 0 to the principal plane 1. Hence find the range of values of 0 for which the normal stress is tensile.
Q-1 Figure Q-1, below, shows Mohr’s circle for a point in a physical object that is subjected to plane stress. Determine the stresses σx, σy, and τxy, and show them on a stress element, properly oriented with reference to x-y axes. Determine the principal stresses σ1, σ2, and τmax and show them on a stress element properly rotated with respect to the x–y element Determine the stresses σn, σt, and τnt, and show them on a stress element that is properly rotated with respect to the x–y The sketches must include the magnitude of the angles w.r.t. positive x-axis as well as the angle between the x and n axes, and an indication of the direction of rotations (i.e., either clockwise (c.w.) or counterclockwise (c.c.w.)).
The state of stress at a point in a structure is shown in the following figure.(a) find the main stresses (Show the results on a sketch ofcorrectly oriented).(b) Find the maximum shear stress with its average stress (Show theresults in a correctly oriented sketch).
Consider the following plane stress state: Ox=30 MPa, y= -60 MPa, Txy= 30 MPa cw Calculate the following: 1. The coordinates of the center of the Mohr's circle C The location of the center of the Mohr's circle Cis ( 2. Principal normal stresses (01, 02) The principal normal stresses are σ₁ = 39.08 3. Maximum shear stress (7) The maximum shear stress is 54.08 MPa. 4. The angle from the x axis to 0₁ (p) The angle from the x axis to 0₁ (p) is -16.85 5. The angle from the x axis to 7 (s) The angle from the x axis to T (s) is 28.15 6. The radius of the Mohr's circle The radius of the Mohr's circle is 54.08. ✰ MPa. MPa and 02 = -69.08 MPa. O -15 MPa, CW CCW O MPa).
Mohr's Circle The major and minor principal stresses acting at a point are 80 psi compression and 20 psi tension. (a) Draw the Mohr's circle for this stress combination. (b) What is the maximum shear stress acting at the point, and what value of normal stress acts on the plane? (c) Determine the value of the shear and normal stress acting on a plane that is 30° from the major principal plane. kindly answer the following with a complete solution so that i can understand how to solve it. thank you
3. As shown, a vertical 200 lb force is applied to the gear and shaft assembly at point D. Shaft ABC is solid and has a 0.5 in. radius. (you may use a coordinate system of your choice, as long it's correct.) y 2.5 in. 10 in. D H B Z X 200 lb a) Determine the state stress (all stresses with their indices) at point H on top of the shaft. b) Determine the principal stresses and max shear stress at point H.