3. The plane stress is shown on the element. Use Mohr's circle. 1) Determine the principal stresses and corresponding orientation of the element from the position shown. 2) Determine the in-plane maximum shear stress and corresponding orientation of the element from the position shown. 3) Determine the state of stress on an element oriented 45° counterclockwise from the position shown. 90 MPа 60 MPа 20 MPa

3. The plane stress is shown on the element. Use Mohr's circle. 1) Determine the principal stresses and corresponding orientation of the element from the position shown. 2) Determine the in-plane maximum shear stress and corresponding orientation of the element from the position shown. 3) Determine the state of stress on an element oriented 45° counterclockwise from the position shown. 90 MPа 60 MPа 20 MPa

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Similar questions

Draw the Mohr,s circle for the stress element shown in figure. Determine the principal stresses and maximum in-plane shear stresses and also draw respective stress elements. Furthermore find out stresses on planes whose normal make an angle of 45 and 135 degress with x-axis. Show your results on stress elements
An element in uniaxial stress is subjected totensile stresses σx = 57 MPa, as shown in the figure.Using Mohr’s circle, determine the following.(a) The stresses acting on an element oriented at anangle θ =-33° from the x axis (minus meansclockwise).(b) The maximum shear stresses and associatednormal stresses.Show all results on sketches of properly orientedelements.
Determine the magnitude of the shear stress (in units of MPa) when the state of stress is oriented 45 degrees from the element shown (aligned with line AB).
The state of stress on an element relative to the xy-axis is presented above. The element is to be reoriented as shown. a) What are the components that describe its original state of stress (??, ??, ???) and what is the angle of rotation (?)? Make sure your signs are correct. b) Using the equations of stress transformation, determine ??′, ??′, and ??′?′ and draw these components of stress on the rotated element. c) What are the principal stresses and angles of the principal planes? What is the shear stress associated with this orientation? d) What is the maximum in-plane shear stress and the angle of its associated plane? What are the associated normal stresses in this orientation? e) What is the absolute maximum shear stress and what plane (xy, xz, or yz) does this stress act upon?
Q. No. 4: The state of plane stress at a point is represented by the stress element shown in figure.Analyze the element for stresses acting on an element oriented at 30° clockwise with respect to the original element.
Q/1/The state of plane stress at a point is shown on the element . Represent this state of stress on an element oriented 15 counterclockwise from the position shown. 30 MPd b’OMIoD‘ go M¥Pa
Plane AB is under pressure and Plane AB has an angle = 30 degrees to sigma = 50 nPa.a. Determine the equations used to calculate the normal and shear stress in the plane ABb. Draw a normal vector sketch on the plane AB and the angle formed between the normal vector andc. Calculate normal stress and shear stress in plane AB (Round up to 4 digits after comma)d. Plot the point normal stress and shear stress plane AB on the Mohr Diagram sketch.
3.2: Find the angle & in the case of stress shown in the figure.
For the stressed elements allocated to you, find the values and sketch the orientations:a) Maximum shear stress and the relative angle at which it occursb) Principle normal stresses and the relative angle at which they occurc) The stresses at a 40° rotation from the initial element orientationusing BOTH transformation equations AND Mohr’s circle.
The strain components &x, Ey, and Yxy are given for a point in a body subjected to plane strain. Using Mohr's circle, determine the principal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle ep, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = O ME, Ey = 300 ME, V. = 250 urad. Enter the angle such that -45° ≤ 0, ≤ +45°
Determine the equivalent state of stress if an element is oriented 40° clockwise from the element shown. Use Mohr’s circle.
The given stresses are 0x = 48 MPa, 0x =- 32 MPa, and Txy = 20 MPa. The rotation angle 0 = 30°.Use the stress transformation equations to determine the stresses on an element that is rotated bythe given angle 0 and show the calculated stresses on the rotated element.