Q1: The state of stress at a point in a member is shown on the element inFigure (1). Determine the following:1) The stress components acting on the inclined plane AB (o, and tx'y').2) The principal normal stresses (p1.op2) and max in-plane shear stress (Tmax).Do not calculate the angles of the planes of the principal stresses.Solve the problem using the equations.8 ksi2 ksiFigure (1)60B5 ksi

Given: Block with 2d normal stress Shear stress Angle To find: Normal stress and shear stress on…

Q1: The state of stress at a point in a member is shown on the element in Figure (1). Determine the following: 1) The stress components acting on the inclined plane AB (o, and Ty'y'). 2) The principal normal stresses (op1, p2) and max in-plane shear stress (Tmax). Do not calculate the angles of the planes of the principal stresses. Solve the problem using the equations. 8 ksi 2 ksi Figure (1) 5 ksi

Q1: The state of stress at a point in a member is shown on the element in Figure (1). Determine the following: 1) The stress components acting on the inclined plane AB (o, and Ty'y'). 2) The principal normal stresses (op1, p2) and max in-plane shear stress (Tmax). Do not calculate the angles of the planes of the principal stresses. Solve the problem using the equations. 8 ksi 2 ksi Figure (1) 5 ksi

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

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 stresses acting on element A in the web of a train rail are found to be ‘75 (MPa)’tension in the horizontal x-direction and ‘90 (MPa)’ compression in the verticaly-direction. Also, shear stresses of magnitude ‘40(MPa)’ act in the directions shown inthe figure.a) Draw Mohr’s circle for the state of stress.b) Determine the stresses (σx', σy' and τxy') acting on an element oriented at an angle‘D=-10 ˚’ from the horizontal. Show these stresses on a sketch of an elementoriented at this angle Note: If the angle D is positive, then the shear stress is in the direction shown onthe unit element figure; if it is a minus sign, then the shear stress is in theopposite direction shown on the unit element figure.
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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.
Question 1: The general state of stress at a point is characterized by six independent normal and shear stress components which act on the faces of an element of material located at the point. Show a schematic view of the general state of stress. Using Mohr’s circle, determine the principal stresses of an element having σx = 45 MPa, σy = 55 MPa and ?xy = 25 MPa. Show them on a sketch of a properly oriented element. Using Mohr’s circle, determine the maximum and minimum shear stresses. Show them on a sketch of a properly oriented element. Determine the equivalent state of stress if the element is oriented 30º clockwise by using Mohr’s circle. Show them on a sketch of a properly oriented element.
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The solid circular section EF rod in the figure is fixed to the wall at point F. Forces P1 = 1 kN, P2 = 2 kN were applied from point D of the DE rod, which is rigidly connected to the rod. Calculate the stress states occurring at points A and B and show them on the small volume elements removed from these points. The diameter of the EF rod will be taken as d = 50 mm. Do not give answer in image and hand writing