2) The state of stesss at a point in a body relative to the xyz coordinate system is:2 3 -5[o]= 32 kpsi6.%3D-5 2 -4a) Determine the principle stresses and the direction cosines corresponding to each principle stress.b) Draw the 3D Mohr's circles.c) Determine the maximum shear stress.d) Find the orientation of the plane containing the maximum shear stress relative to the original axissystem3) For the stress tensor in problem 2:a) Determine the normal and shear stress on a surface intersecting a plane defined by 3 points (0,0,0);(2,-1,3); (-2,0,1)b) Give the magnitudes of these stresses and the direction cosines defining their directions.

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Answered: 2) The state of stesss at a point in a…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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Question 2 For the stresses of plane stress state is ox = -8 MPa , Oy = 7 MPa and Txy = -6 MPa Draw a Mohr's circle diagram. Draw stress element for the given stresses Find the principal normal and shear stresses, and determine the angle from the x axis to ơ1 Draw the stress element for the principle stress. Using stress transformation, find the principle stresses and the angle of o, Determine the stress transformation for the angle Ø = 25°
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Answer the questions below for the following system. Young's modulus and Poison's ratio can be taken as 200 GPa and 0.3, respectively. a) Calculate and determine the stress state for point H using undergraduate level solid mechanics knowledge? b) Determine the principal stress values at point H using undergraduate level solid mechanics knowledge? Top view of section where H is located Point H no 300 mm 120 mm C .H 540 mm A Diameter of the pipe d=36 mm P=900 N
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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.
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Calcuate Bending From Point A to Point B and Point A to Point C also Torsion from Point A to Point C. Draw a FBD from point A to point B and another for point A to C indicating what stresses are been calculate. Use the stress tensor and stress cube to Indicate what forces are acting at point A. Force apply at point B is 70lb Distacen from Point A to B is 12 in or 1 feet long Distacen from Point A to C is 3 in Handle diameter 0.625 in
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In the unit element subjected to the stresses given in the figure; a) Principal stresses and planes; b) Maximum and minimum values of shear stress;c) Find the normal stress and shear Stress in the C plane. (You can solve it analytically or with the Mohr circle).
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.
Problem 2. A material element in plane stress is subjected to stresses: Ox = -5000 psi Oy Txy = -3000 psi - 2000 psi а) Using Mohr's Circle, determine the stresses on an element oriented at an angle 0 = 60° counterclockwise from the x axis. b) Show these stresses on a sketch of an element oriented at the angle 0.

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