50 MPa A 35 MPa B 30 90 MPa The state of stress at a point in a member is shown on the element. You are required to determine the normal stress and shear stress acting on the inclined plane AB and show the result on the sectioned element: b. Using the stress transformation equations. NOTE: support your answer with sketches and the FBD.

50 MPa A 35 MPa B 30 90 MPa The state of stress at a point in a member is shown on the element. You are required to determine the normal stress and shear stress acting on the inclined plane AB and show the result on the sectioned element: b. Using the stress transformation equations. NOTE: support your answer with sketches and the FBD.

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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50 MPа A 35 MPa B 30 90 MPa The state of stress at a point in a member is shown on the element. You are required to determine the normal stress and shear stress acting on the inclined plane AB and show the result on the sectioned element: Using the method of equilibrium, and NOTE: support your answer with sketches and the FBD.
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 tx'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) 60° B 5 ksi
3.2: Find the angle & in the case of stress shown in the figure.
Consider the stress state shown in Fig a) Find the "max shear stress" (t max) and the "average normal stress" (o avg). Indicate these points on the circle Mohr and show the summary on a square element b) Find the Cartesian constraints if the element is rotated 30degree Counterclockwise (CCW) and show the summary on a square element Note: for part (d) you can use the equations or the circle, it's your choice (using equations is faster)“ yt 40 MPа 30 MPa 20 MPa
Incorrect. Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 4 MPa in size. (a) Determine the stresses o, oy, and the magnitude of Ty and show them on a stress element. (b) Determine the stresses o, O, and the magnitude of Tpt and show them on a stress element that is properly rotated with respect to thex-y element. The sketch must include the magnitude of the angle between the x and n axes and an indication of the rotation direction (i.e., either clockwise or counterclockwise). y Answer: (a) Ox = 8. MPa Oy= -24 MPa MPа Txy= 24 (b) ơn = MPa 20 -36 MPa Tnt = 8 MPa
Mohr's cirde is shown for a point in a physical object that is subjected to plane stress. Each grid square is 14 MPa in size (a) Determine the stresses o, a, and the magnitude of T and show them on a stress element. (b) Determine the stresses o, o, and the magnitude of T and show them on a stress element that is properly rotated with respect to thexy element The sketch must include the magnitude of the angle between the x and n axes and an indication of the rotation direction (Le, either dockwise or counterdockwise). Answer: (a) o,. MPa MPa MPa (b) a. MPa MPa Tee- MPa
Q2/ the state of stress equal to 40,0,12 as normal stresses and 24, - 30, 20 as shear stresses respectively. find the new state of stresses and invariant when this element rotates a 30 degree counterclockwise angle about X axis using analytical method. prove that invariant is unchanged i need the answer quickly
The stress at a point is shown on the element. Determine (a) principal stress, (b) maximum in-plane shear stress. Specify the orientation of the element in each case. Find also the (c) the stress in the element if it is inclined 55° counterclockwise. (See required values in answer sheet format) 65 MPa 35 MPa 85 MPa 85 MPa 65 MPa
Read the question carefully and give me answer according to the question. The state of stress at a point is shown on the element. Determine (a) the principal stress and (b) the maximum in-plane shear stress and average normal stress at the point. Specify the orientation of the element in each case. Sketch the results on each element. Solve the problem using the formula comparing to Mohr’s Circle. Oy=160 MPa , Txy=120 MPa
Your answer is partially correct. Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 4 MPa in size. (a) Determine the stresses o, Oy, and the magnitude of Ty and show them on a stress element. (b) Determine the stresses o, Or, and the magnitude of Tpt and show them on a stress element that is properly rotated with respect to thex-y element. The sketch must include the magnitude of the angle between the x and n axes and an indication of the rotation direction (i.e., either clockwise or counterclockwise). y Answer: (a) Ox = MPa 16 Oy= -48 MPa Tyy= MPa -12 (b) σ. -40 MPa 8 MPa Tnt = -24 MPa
! Required information Consider the given state of stress. to A16 ksi 10 ksi Determine the normal and shearing stresses after the element shown has been rotated through 10° counterclockwise, using Mohr's circle. The normal stress ox'is ksi and oy'is |ksi. The shear stress Tx'y'is ksi.
A rigid bar ABCD is supported by two bars as shown in Figure below. There is no strain in the vertical bars before load P is applied. After load P is applied, the normal strain in bar (1) is 590 µ. Determine: a. The normal strain in bar (2). b. The normal strain in bar (2) if there is a 1 mm gap in the connection at pin C before the load is applied. c. The normal strain in bar (2) if there is a 1 mm gap in the connection at pin B before the load is applied. (2) 1,500 mm 240 mm 465mm 140 mm Rigid bar B C 900 mm (1) P.