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:= 3.805x10-4:y=-4.122 x104: 1.585 x104: Way 1.015 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= 0.3 and shear modulus G = 78.8 Gpa:E=OfTay27.1 GPa 100 GPa 205 GPa50 MPa 75 MPa 100 MPa-50 MPa 40 MPa 75 MPa100 MPa 40 MPa 80 MPa-50 MPa 40 MPa 60 MPa

Answered: Image /qna-images/answer/0a3dfeaf-d71e-43b8-852d-1791f8b81ccc.jpg

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: -3.805 x10-4:y=-4.122 x104: 1.585 x104: Vy 1.015 x10-³; Determine the stress components if the member is made Poisson's ratio v= 0.3 and shear modulus G = 78.8 Gpa: EM Oy d Tay" 27.1 GPa 100 GPa 205 GPa -50 MPa 75 MPa 100 MPa -50 MPa 40 MPa 75 MPa 100 MPa 40 MPa 60 MPa -50 MPa 40 MPa 60 MPa of an isotropic material with linear elastic behavior having the following elastic properties

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: -3.805 x10-4:y=-4.122 x104: 1.585 x104: Vy 1.015 x10-³; Determine the stress components if the member is made Poisson's ratio v= 0.3 and shear modulus G = 78.8 Gpa: EM Oy d Tay" 27.1 GPa 100 GPa 205 GPa -50 MPa 75 MPa 100 MPa -50 MPa 40 MPa 75 MPa 100 MPa 40 MPa 60 MPa -50 MPa 40 MPa 60 MPa of an isotropic material with linear elastic behavior having the following elastic properties

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.7.3P: An element of material in plain strain is subjected to shear strain xy = 0.0003. (a) Determine the...

See similar textbooks

Similar questions

During a test of an airplane wing, the strain gage readings from a 45° rosette (see figure) are as follows: gage A, 520 × l0-6; gage B. 360 × l0-6; and gage C,-80 × 10-6. Determine the principal strains and maximum shear strains, and show them on sketches of properly oriented elements.
An element of material in plain strain is subjected to shear strain xy = 0.0003. (a) Determine the strains for an element oriented at an angle = 30°. (b) Determine the principal strains of the clement. Confirm the solution using Mohr’s circle for plane strain.
An element of material in plain strain is subjected to strains x = 0.0015, , y . = -0.0002, and xy = 0.0003. (a) Determine the strains for an element oriented at an angle = 20°. (b) Determine the principal strains of the element. Confirm the solution using Mohr’s circle for plane strain.
An element of material in plain strain has the following strains: x = 0.001 and y = 0.0015. (a) Determine the strains for an element oriented at an angle = 250. (b) Find the principal strains of the element. Confirm the solution using Mohr’s circle for plane strain.
A thin square plate in biaxial stress is subjected to stresses ?? and ??., as shown in part a of the figure. The width of the plate is h = 12.0 in. Measurements show that the normal strains in the x and v directions are s = 427 × 10-6 and s = 113 × l0-6, respectively. With reference to part b of the figure. which shows a Iwo-dimensional view of the plate. determine the following quantities. (a) The increase .d in the length of diagonal Oil. (b) The change . in the angle between diagonal Oti and the x axis, (c) The shear strain y associated with diagonals Oil and cf(that is. find the decrease in angle ced).
A solid spherical ball of magnesium alloy (E = 6.5 × l0-6 psi, v = 0.35) is lowered into the ocean to a depth of 8000 ft. The diameter of the ball is 9.0 in. (a) Determine the decrease ?d in diameter, the decrease, ?V in volume, and the strain energy U of the ball. (b) At what depth will the volume change be equal to 0.0324% of the original volume?
A steel thick cylinder of external diameter 150 mm has two strain gauges fixed externally, one along the longitudinal axis and the other at right angles to read the hoop strain. The cylinder is subjected to an internal pressure of 75 MPa and this causes the following strains: (a) hoop gauge: 455 x 106 mm/mm tensile; (b) longitudinal gauge: 124 x 10 mm/mm tensile. Find the internal diameter of the cylinder assuming that Young's modulus for steel is 208 GPa and Poisson's ratio is 0.283.
A strain gauges system mounted at a point on a structural member that is subjected to multiaxial stress, where we have the following readings: Ex = 3.8 x104; &y = 5.5 x10-5; Ez = - 7.5 x10-5; Yy = 9.1 x104; %3D Determine the stress components if the member is made of an isotropic material with linear elastic behavior having the following elastic properties: Young's modulus E = 200 Gpa and Poisson's ratio v = 0.3; Select one: Ох %3D -100 Мра; оу %3D -50 Мра; о, %3D 30 Мра; Тху 3D 70 Мра; Ox = -75 Mpa; o, = -50 Mpa; 0z = 40 Mpa; Ty = 80 Mpa3; Oy = 300 Mpa; oy = -150 Mpa; 0z 3 100 Мра;B тyу = 100 Mpa; TOSHIBA
The strain rosette shown in figure was used to obtain strain data at a point on the surface of a machine part. If the readings from gages a, b, c were 650, -450, -585 (all in microns) respectively; which of the following is the shear strain on the surface? 45° a Lutfen birini seçin a1370 micron b. 1570 micron c1400 micron d7600 micron
Using the equations of strain in isotropic elasticity, find the stress tensor that cause the following strain state determined from an experiment (material has Young’s modulus of 190 GPa): ?? = 0.001 0.001 0 0.001 −0.002 0.0005 0 0.0005 0shear moduli is 70GPa.
gauges system mounted at a point on a structural member that is subjected to multiaxial stresses, where we have the following readings: Ex = 6.686 x104 ;&, 3.0 x10-4; & = - 6.857 x10-5; Yxy = 2.580 x10-3; %3D %3D Determine the stress components if the member is made of an isotropic material with linear elastic behavior having the following elastic properties: Young's modulus E = 70 Gpa and Poisson's ratio v = 0.29; Select one: Ox = 70 Mpa; Oy = 50 Mpa; o, 3 30 Мра; Тҳу 35 Mра; %3D 25 Mpa; 0z = 30 Mpa; Txy = 70 Mpa; %3D Ох %3D 140 Мра; бу %3D Ox = 90 Mpa; oy = 50 Mpa; o, = 60 Mpa; Ty = 35 Mpa%3; Ox = 70 Mpa; oy = 50 Mpa; 0z = 30 Mpa; Txy = 70 Mpa; = 70 Mpa3; = 100 Mpa; Oy = 50 Mpa; 0z = 80 Mpa; Txy
You measure the strains ɛrx = 30E – 6 and ɛyy = 10E – 6 on the surface of a thin part (plane stress). If the part material has a elastic modulus of 100 GPa and a Poisson's ratio of - 0.35. What are the normal stresses in the x and y directions? y-direction normal stress = 2.34 MPа x-direction normal stress = 3.82 MPa O y-direction normal stress = -4.34 MPa x-direction normal stress = -8.27 MPa