The strain components Ex, Ey, and Yxy are given for a point in a body subjected to plane strain. Using Mohr's circle, determine theprincipal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle 0p, theprincipal 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=μεμεuradurad

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 = 0 με, Ey = 310 μE, Yxy = 280 μrad. Enter the angle such that -45° ≤0p ≤ +45°. Answer: Ep1 = Ep2 = Ymax in-plane Yabsolute max. 8p = = με με urad urad

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 = 0 με, Ey = 310 μE, Yxy = 280 μrad. Enter the angle such that -45° ≤0p ≤ +45°. Answer: Ep1 = Ep2 = Ymax in-plane Yabsolute max. 8p = = με με urad urad

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

See similar textbooks

Similar questions

The state of strain at the point on the arm in Figure Q10 has components ϵx = 200.5 micro-strain, ϵy = 324.4 micro-strain, and γxy = 220.6 micro-strain (1 micro-strain = strain×10-6). Figure 10 Calculate the maximum principal strain. Express your answer in micro-strains. Report your answer to 1 decimal place.
A differential element on the bracket is subjected to plane strain that has the following components: , Ex = 300 x 10-6, Ey = 200 x 10-6, Exy = -500 x 10-6. Use the strain-transformation equations and determine the normal strain Ex' in the x' direction on an element oriented at an angle of 60°. Note, a positive angle is counter clockwise.
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.
A force P and a force Q, applied via a nut, are acting on the arm attached to the end of a shaft made of steel. The strain gauge readings on point A of the shaft show the following deformation values: ε1 = 630x10-6, ε2 = 600x10-6, and ε3 = - 189x10-6. Determine the magnitudes of the applied forces P and Q (E = 200 GPa, υ = 0.3).
! Required information Consider the given state of plane strain. Ex=-180µ, Ey=-260µ, Yxy=+295µ Use Mohr's circle to determine the orientation and magnitude of the principal strains. (Round the final answers to one decimal place.) The orientations are %3D The magnitudes are Ea 93
The two bars are used to support load P. When unloaded, joint B has coordinates (0, 0). After load P is applied, joint B moves to the coordinate position (-0.55 in., -0.17 in.). Assume a = 10 ft, b = 20 ft, c = 7 ft, and d = 14 ft. Determine the normal strain in each bar. Answer: EAB || A EBC= i P a (1) y B με με b (2) C d
Learning Goal: To determine the average normal strain and average shear strain in a known material based on a given load and geometry. A flat plate ABCD distorts into the dashed shape ABCD shown after a load is applied with a (AC) v = Y Part A- Average normal strain along AC Determine the average normal strain (AC) avg along AC after the load has been applied. Express the average normal strain in millimeters per millimeter to three significant figures. View Available Hint(s) [ΕΙ ΑΣΦ 212 Yay= D Part B - Average shear strain at A Submit It vec ^ d C Yzy = Determine the average shear strain Yay at A relative to the x and y axes. Express the average shear strain in radians to three significant figures. ► View Available Hint(s) 15. ΑΣΦ ? ↓↑ vec Part C Average shear strain at point C 163.0 mm, b= 49.0 mm, 9 - 11.0 mm. f-18.0 mm, and e = 14.0 mm 195| ΑΣΦ | 41 mm/mm vec wwwww. Determine the average shear strain Yay at point C relative to the x and y axes after deformation. Express the average…
The normal strain in a suspended bar of material of varying cross section due to its own weight is given by the expression vy/3E where y = 2.3 lb/in.³ is the specific weight of the material, y = 0.8 in. is the distance from the free (i.e., bottom) end of the bar, L = 8 in. is the length of the bar, and E = 23000 ksi is a material constant. Determine, (a) the change in length of the bar due to its own weight. (b) the average normal strain over the length L of the bar. (c) the maximum normal strain in the bar.
The normal strain in a suspended bar of material of varying cross section due to its own weight is given by the expression yy/3E where y = 3.0 lb/in.³ is the specific weight of the material, y = 6.3 in. is the distance from the free (i.e., bottom) end of the bar, L = 21 in. is the length of the bar, and E = 27000 ksi is a material constant. Determine, (a) the change in length of the bar due to its own weight. (b) the average normal strain over the length L of the bar (c) the maximum normal strain in the bar. Answer: (a) d = i (b) avg (c) Emax i x10-6 in. με με
Q3- a) Determine the shear strain yxy at corners D, (Y,), if the defamation is shown by the dashed lines. b) Determine the average normal strain that occurs along the side DA, ɛDA c) Determine the average normal strain that occurs along diagonal DB. ɛDB 6 mm 5 mm 5mm 3 mm \B 200 mm ↑ 1mm |A 300mm- 4mm 0.0133, EpB = 0.0215) %3D (Results: (Yxy'D = 0.0279 rad, ɛpA Q4-In the below picture, the subject has a spine space implant at cross section A-A and is lifting étv N A MAR 25
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.
The normal strain in a suspended bar of material of varying cross section due to its own weight is given by the expression yy/3E where y = 2.1 lb/in.³ is the specific weight of the material, y = 2.0 in. is the distance from the free (i.e., bottom) end of the bar, L = 5 in. is the length of the bar, and E = 27000 ksi is a material constant. Determine, (a) the change in length of the bar due to its own weight. (b) the average normal strain over the length L of the bar (c) the maximum normal strain in the bar. Answer: (a) 8 = i (b) avg (c) Emax = i x10 in. με με