14-94. Due to the load P, the state of strain at thepoint on the bracket has components of 4= 500(10).= 350(10-), and Ty = -430(10). Use the straintransformation equations to determine the equivalentin-plane strains on an element oriented at an angle of8 = 30 clockwise from the original pcasition. Sketch thedeformed element due to these strains within the r-y plane.

Answered: 14-94. Due to the load P, the state of…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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7-81. The material distorts into the dashed position shown. Determine the average normal strains €, E, and the €y shear strain Yxy at A, and the average normal strain along ху line BE. 7-82. The material distorts into the dashed position shown. Determine the average normal strains along the diagonals AD and CF. 50 mm 200 mm 15 mm CH B A- 150 mm 30 mm D EI / F Probs. 7-81/82 50 mm ↓ X
A 60 ̊ strain rosette measures the following strain at a point on the aluminum skin of an airplane. ε0 = 160 ×10-6 m/m, ε60 = -220 ×10-6 m/m and ε120 = 360 ×10-6 m/m. Using E= 10 ×106 psi and v = 0.3, Determine the principle stresses and the maximum in-plane shear stress.
Four stress elements are shown below. All members have the same value for E (Young’s Modulus) and ν (Poisson’s ratio). Rank the members from largest to smallest absolute value of the normal strain in the y direction.
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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 0p, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = 0 μE, Ey = 310 με, Yxy = 280 μrad. Enter the angle such that -45° ≤ 0,≤ +45° Answer: Ep1 = Ep2 = Ymax in-plane = Yabsolute max. = 0p = με με urad urad
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The strain components for a point in a body subjected to plane strain are εx = -480 με, εy = -750με and γxy = -914 μrad. Using Mohr’s circle, determine the principal strains (εp1 > εp2), the maximum inplane shear strain γip, and the absolute maximum shear strain γmax at the point. Show the angle θp (counterclockwise is positive, clockwise is negative), the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch.

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