The strain components ɛx, ɛy, 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 0,p, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = 0 µɛ, ɛy = 430 µɛ, Yxy = 230 µrad. Enter the angle such that -45°< 0,s+45°. Answer: Ep1 = Ep2 = Ymax in-plane = prad Yabsolute max. = prad Op =

The strain components ɛx, ɛy, 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 0,p, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = 0 µɛ, ɛy = 430 µɛ, Yxy = 230 µrad. Enter the angle such that -45°< 0,s+45°. Answer: Ep1 = Ep2 = Ymax in-plane = prad Yabsolute max. = prad Op =

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 strain components ɛ, 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, ɛ, = 320 µɛ, Vxy = 240 µrad. Enter the angle suen that -45° s 0,s+45°.
Problem A person is doing leg exercises where a 100N weight linked via a pulley is attached to their heel. Based on a simplified system in which the quadricep muscles are the only active muscle group and can be modeled as a single muscle tension, what is the muscle tension and joint reaction force at the knee necessary to maintain this position. You can assume the quadriceps is attached to the tibia 5 cm below the knee, making a 15° angle with the horizontal. The weight of the leg is 120 N and the center of gravity is 0.35 m from the knee joint, and the length of the leg is 0.8 m. Make sure to draw a FBD of the lower leg. 100N Fm
Q3 coordinates is given by: The 3-dimensional state of strain at a material point in x, y, z xx [ε] = &₁ Ex Exy Evy zy E XZ E 0 0 0 = 0 -1 -3 *10* 0 -3 5 (a) Calculate the characteristic equation and determine the principal strains for the three-dimensional state of strain (b) Calculate the volumetric strain and the deviatoric strain invariants
The strain components for a point in a body subjected to plane strain are ɛ, = -460 µe, ɛ, = -990µe and Yy = 219 prad. Using Mohr's circle, determine the principal strains (sp1 > Ep2), the maximum inplane shear strain yip, and the absolute maximum shear strain ymax at the point. Show the angle e, (counterclockwise is positive, clockwise is negative), the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Answers: Ep1 = με. Ep2 = με. Yip= prad. Ymax prad.
2
The strain components ɛ, Ey, 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 = 300 µe, ɛ, = -710 pe, Vxy = -440 urad. Enter the angle such that -45°s0,s +45°. Answer: Ep1= pe Ep2= με Ymax in-plane = prad Yabsolute max. prad Əp =
The strain value of the structure in the same direction as a result of the pull applied in the X axis from the bottom was measured as 0.26 mm / mm. Under the same loading condition: a) Calculate the strain on the Z axis of the structure. b) In this case, what is the strain type of the structure in the Z axis?
The Poisson's ratio of a linear elastic, isotropic material is 1/3 and its elasticity mass is 210 GPa. Determine the strain tensor components of a particle of a body made of this material, when subjected to the following state of stress: σij 70 140 140 0 40 280 MPa 140] LO 280
on A strain gauges system mounted at a point on a structural member that is subjected to a multiaxial stress, where we have the following readings: Ex = 7.820 x10¹4; Ey = -8.680 x104; e = 3.200 x104; Vxy = 2.112 x10-³; Determine the stress components if the member is made of an isotropic material with linear elastic behavior having the following elastic properties: Poisson's ratio v=0.32 and shear modulus G = 37.9 Gpa; E= Ox Oy = 0₂ F Txy = 27.1 GPa 75 MPa 80 MPa 77 GPa -50 MPa 75 MPa 40 MPa -50 MPa 100 MPa 100 GPa 100 MPa 40 MPa 40 MPa -50 MPa 80 MPa
If a rubber material is deformed as shown in the following figure, determine the normal strain along diagonal BD. D C 4 mm 2 mm 10 mm A 10 mm Select one: O 0.0607 O 0.0382 1020 DA
B7
In a forming process the diameter of the specimen is 1 cm and its length changes from 50 mm to 60 mm. Show the maximum force value on the graph of Force vs. True Strain plotted in Excel Program or any plotting program not by hand using the flow stress equation given below. σ= Kεn and σ=F/A Where the parameters are σ : True Stress in MPa K: Strength Coefficient, K=210 in MPa ε : True Strain, ε=ln (l/l0) n: Strain Hardening Exponent, n=0.27 F: Force in 10 A : Area in mm2 Take at least 3 digits after the decimal point. Specify the units. You can use Excel or any plotting program not by hand then paste your graph into the solution section.