Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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The strain components εx, εy, and γxy 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 θp, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch.
εx = 360 με, εy = -1000 με, γxy = -630 μrad. Enter the angle such that -45°≤θp≤ +45°.
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- 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:arrow_forwardThe strain components e, E, and yy 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 0, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = 390 µe, ɛ, = -630 pe, Vxy = -760 prad. Enter the angle such that -45°s0,s +45°. Answer: Ep1 = Ep2 = Ymax in-plane prad Yabsolute max. prad 0p =arrow_forwardP² The strain components Ex, 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 8p, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex= 320 μE, Ey = -910 μE, Yxy=-580 prad. Enter the angle such that -45°≤0₂≤ +45°. Answer: Ep1 = με Ep2= με Ymax in-plane Vabsolute max. 0p= H H prad uradarrow_forward
- Mohr’s circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 8 MPa in size.(a) Determine the stresses σx, σy, and the magnitude of τxy and show them on a stress element.(b) Determine the stresses σn, σt, and the magnitude of τnt 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 the x and n axes and an indication of the rotation direction (i.e., either clockwise or counterclockwise).arrow_forwardThe strain components εx, εy, and γxy are given for a point in a body subjected to plane strain. Determine the principal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle θp, the principal strain deformations, and the maximum in-plane shear strain distortion on a sketch. εx = -850 με, εy = -255 με, and γxy = 1100 μrad. Enter the angle such that -45°≤θp≤ +45°.arrow_forwardThe strain components Ex, 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 8p, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = 330 μE, Ey = -590 μE, Yxy = -880 μrad. Enter the angle such that -45°≤0p<+45°. Answer: Ep1 = με Ep2 = με Ymax in-plane Yabsolute max.= 0p- urad uradarrow_forward
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