The state of stress at a point in a member is shown on the rectangular stress element in (Figure 5) where themagnitudes of the stresses are σx 10 ksi, |oy| = 29 ksi, and | Txy| = 6 ksi.-Determine the state of stress on an element rotated 40° counterclockwise from the element shown.Express your answers, separated by commas, to three significant figures.View Available Hint(s)ΕΠΙ ΗΜΕ ΑΣΦvecσ =0y=, Try = 23.76, 15.24,7.56SubmitPrevious Answers× Incorrect; Try Again; 5 attempts remaining?ksi, ksi, ksi Figure|σyxy5 of 6>

Step 1: Step 2: Step 3: Step 4:

Answered: The state of stress at a point in a…

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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4. For the state of plane stress shown, determine (a) the principal planes and the principal stresses, (b) the stress components exerted on the element obtained by rotating the given element counterclockwise through 30°. 60 MPa 100 MPa 48 MPa
Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 13 MPa in size. (a) Determine the stresses oy, Oy, and the magnitude of Tyy and show them on a stress element. (b) Determine the stresses on, Ot, and the magnitude of Tpt and show them on a stress element that is properly rotated with respect to the x-y element. The sketch must include the magnitude of the angle between thex and n axes and an indication of the rotation direction (i.e., either clockwise or counterclockwise). Answer: MPа (a) ox = -52 MPa Oy = 110.0720 110.0720 MPа Txy = MPa (b) On = 58.30865 MPа Ot = -162.30865 MPa Tnt = 110.3086
An element is subject to the following normal and shear strains: Ex = -350 × 10-6 €y = 200 x 10-6 Yxy = 300 X 10-6 If the element were oriented at an angle of 15° counterclockwise: a) Determine the normal and shear strains €¸', €', and Yx'y'. b) The principal strains and the orientation upon which they act. c) The maximum in-plane shear strain and the orientation upon which they act.
Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 780 psi in size. (a) Determine the stresses O, Oy, and the magnitude of Tyand show them on a stress element. (b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16). y Answer: (a) ox = i psi Oy = psi Txy = psi (b) Op1 = i psi Op2 = i psi Tmax in-plane " i psi
Mohr’s circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 640 psi in size. (a) Determine the stresses σx, σy, and the magnitude of τxy and show them on a stress element. (b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16).
Part C - Counterclockwise Rotation of a Stress Element Figure 5 of 6 The state of stress at a point in a member is shown on the rectangular stress element in (Figure 5) where the magnitudes of the stresses are |0z| = 13 ksi, Joy = 23 ksi, and |Tzy| = 12 ksi. Determine the state of stress on an element rotated 45° counterclockwise from the element shown. Express your answers, separated by commas, to three significant figures. • View Available Hint(s) Vol AEO I vec Or =, oy =, Tự'y = ksi, ksi, ksi Submit Pearson
The strain components Ex, Ey, and Vxy are given for a point in a body subjected to plane strain. Determine the strain components & Et, and Ynt at the point if the n-taxes are rotated with respect to the x-y axes by the amount and in the direction indicated by the angle 8. Sketch the deformed shape of the element. Ex = -950 μE, Ey = 600 μE, Yxy = 1400 μrad, and 8 = 40° Answer: En = & بڑی = Ynt = με με Hrad n X
Problem 1. A material element in plane stress is subjected to stresses: Ox = -7000 psi Oy = -3000 psi = -4000 psi Txy а) Find the stresses ox,, Oy,, and Tx, y, on an element oriented at an angle 0 = 30° clockwise from the x axis and show these stresses and on a sketch of a properly oriented element. b) Find the principal stress angles, Op1, Op2, and the principal stresses, 01,02 c) Find the maximum shear stress angles, 051, es2, and the maximum shear stresses, +Tmax- d) Show the principal stresses and maximum shear stresses on a sketch of a properly oriented element
Please use Mohr's Circle.
Determine the equivalent state of stress on an element if it is oriented 50° counterclockwise from the element shown. Assume that σ = -13 ksi and Txy = -19 ksi. Solve the problem using ox Mohr's circle. σχ F Part A Determine the normal stress ox'. Express your answer in kilopounds per square inch to three significant figures. ANSWER: = Tap image to zoom ksi Part B Determine the normal stress Øy'. Express your answer in kilopounds per square inch to three significant figures. ANSWER:
The state of strain at the point has components of € = 300 (10-6), y = -260 (10-6), and Yay = 460 (10–6). Figure
1. The stress condition on a two-dimensional infinitesimal material element is shown in Fig. 1 Fig. 1 60 MPа A 50 MPа В 30 MPа A. Describe the state of stress on: (i) Face A (ii) Face B B. State the sign convention for stress components on faces A and B in the: (i) Physical-space (ii) Mohr-Circle-space C. Draw the Mohr circle for the stress element in Fig. 1

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