or:Oyay:TxyIThe figure (not drawn to scale) shows a state of stress in a xyframe of reference. We wish to calculate the state of stress in therotated frame of reference x'y'.GivenAngle of rotation 0 = -33°,direct stresses o = -20 MPa and oy = 0 MPa,shear stress Tay = -10 MPacalculate the state of stress in the rotated frame of reference.Enter your answers in the boxes below.The inswers are cceptable within a tolerance of 1 MPa.MPa (2 mark)MPa (2 mark)OxMPa (2 mark)X'XX

Given- σxx= -20 MPaσyy=0 MPaτxy= -10 MPaθ=-33° To Find- σx'=?σy,=?τxy'=?

The figure (not drawn to scale) shows a state of stress in a xy frame of reference. We wish to calculate the state of stress in the rotated frame of reference x'y'. Given Angle of rotation = -33°, direct stresses = -20 MPa and oy = 0 MPa, shear stress Try -10 MPa,

The figure (not drawn to scale) shows a state of stress in a xy frame of reference. We wish to calculate the state of stress in the rotated frame of reference x'y'. Given Angle of rotation = -33°, direct stresses = -20 MPa and oy = 0 MPa, shear stress Try -10 MPa,

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

Given a stress state of ø, = -4 MPa, øy = 12 MPa, ty = 7 MPa ccw 1) Draw a properly oriented stress element illustrating this state of stress 2) Using Mohr's circle, find the principal stresses and directions, and show these on a stress element correctly aligned with respect to the xy coordinates. Draw another stress element to show zi and 72, find the corresponding normal stresses, and label the drawing completely. 3) Use the plane-stress transformation equations to validate your answers in part 2
The state of stress at a point in an engine piston is given in the x-y-z coordinates by: 90 180 [0]=0, MPa = 180 240 yx yy 120 zy Using the matrix transformation law, determine the state of stress at the same point for an element rotated about the x-axis (in the y-z plane) 60° clockwise from its original position. Calculate the stress invariants and write the characteristic equation for the original state of stress, Calculate the deviatoric invariants for the original state of stress, Calculate the principal stresses and the absolute maximum shear stress at the point. What are the stress invariants and the characteristic equation for the transformed state of stress, а. b. С. d. e
Shows the state of stress (three dimensional) at a point Q within a given stressed body. b- Briefly describe the three normal stress components and the six shear stress components of the stress at point Q. c- Consider a tetrahedron containing point Q and show the forces on the faces of the tetrahedron due to the various stresses. d- How can we derive the equation for the transformation of normal stress by considering the above mentioned tetrahedron?
A round solid bar has a diameter of 30mm. A tensile force of 120kN is applied at the centroid of area . A) Calculate the stress in the bar and sketch the stress distribution through its thickness along the centre line[ANS : 170 MPa] B) The force in Q1 is re-applied to the same round solid bar but 5mm above the centroid of area. Calculate the stress in the bar and sketch the stress distribution through its thickness along the centre line[ANS:+396, -56 MPa] HOW to answer part two I did not get the answer !!
Angle 1 Tyx Tyx Figure 1 Point A- x-direction stress 60MPA(compression), y-direction stress 40MPA(tension), negative shear stress 30MPA Using your assigned point determine the following for the yz-plane: a) From basic priciples determine the stresses on the plane of the indicated angle 1-30°, Show al calculations. Draw the orientation of the stress block for this scenario. b) Repeat question (a) using a Mohr circle. c) Using a Mohr circle, determine and draw the maximum stress block of the in-plane maximum shear and principle stresses. d) Determine the stresses and orientation of the stress block where the normal stress is zero. Make use of the stress transformation equations. e) Determine the values of absolute maximum shear stress and corresponding normal stress.
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
1. Given a combination of stresses on an element shown in the figure, (a) draw a Mohr's circle representing the complete state of stress of the element, i.e. show prinicpal stresses (01,02), maximum shear stresses (Tmax), principal direction (0p), original orientation, and original stresses (Ox, Oy, Txy). (b) draw three-dimensional Mohr's circles showing the three principal stresses and absolute maximum shear stress. Oy = -50 MPa Txy 20 MPa Ox = -150 MPa
The state of stress at a point in an engine piston is given in the x-y-z coordinates by: 90 180 XX ху [o]= 180 240 0 MPa yx yy yz 120 zy Calculate the deviatoric invariants for the original state of stress, Calculate the principal stresses and the absolute maximum shear stress at the point. What are the stress invariants and the characteristic equation for the transformed state of stress, C. d. e
(b) Mohr's circle, invented by Christian Otto Mohr, is a graphical representation of the transformation law for the stress system. Use Mohr's circle to determine the stresses on an element inclined at 30° clockwise to the state of plane stress system as shown in Figure 1 and show the corresponding stress elements. Q2 (a) It is important im 80 MPa 50 MPa Ľ 50 MPa Figure 1 80 MPa 25 MPa
The state of stress at a point on a thin plate is as shown in the left side of the Figure below. Determine the state of stress (ox, oy, txy) represented on the element oriented as shown on the right. 120 Sigma_x^prime (MPa) 200 Sigma_y^prime (MPa) 60 Tau_xy^prime (MPa) 30 Alpha (degrees) O x' Oy Txy' Txy Ox
Calcuate Bending From Point A to Point B and Point A to Point C, Calcuate 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
1. This question relates to stresses due to combined loading. A shaft subjected to combined torsion and axial thrust is designed to resist a shear stress and a compressive stress as shown in Figure Q1. Using the information provided in Table Q1: Figure Q1 Txy 90 mpa ox 130 mpa a) Determine the principal stresses and show them on a sketch of a properly oriented element. b) Determine the maximum shear stresses and associated normal stresses and show them on a sketch of a properly oriented element. c) Calculate the safety factors according to the three theories (Rankine, Tresca, and Von- Mises). Take the yield strength of the material as, Oyield = 250 MPa. d) Sketch the Mohr's circle for the stressed component location and indicate the stress states, principal stresses, and maximum shear stress.