(b)A differential element on the bracket as shown in Figure Q1 is subjected to planestrain that has the following components: ex = 150µ, ey =200μ , γχν = -700μ.By using the strain transformation equations, determine:-The equivalent in-plane strains on an element oriented at an angle 0 = 60°counterclockwise from the original position.(ii)Sketch the deformed element within the x' – y' plane due to these strains.(iii)The stresses on the oriented planes in (i) where the value of elasticity, E =200 GPa and Poisson's ratio, v = 0.32.(iv)Giveyour comments on those stresses in (iii) in terms of elastic limit/failureif the material's yield strength in tension/compression is 250 MPa and inshear is 90 MPa. Figure Q1

Answered: Image /qna-images/answer/8263e5b5-2ee0-4f48-93c9-883b236afd08.jpg

ain that has the following components: ex = 150µ, ey = 200µ, yxy = -700µ. using the strain transformation equations, determine:- The equivalent in-plane strains on an element oriented at an angle 0 = 60° counterclockwise from the original position. Sketch the deformed element within the x' - y' plane due to these strains. The stresses on the oriented planes in (i) where the value of elasticity, E = 200 GPa and Poisson's ratio n=0 32

ain that has the following components: ex = 150µ, ey = 200µ, yxy = -700µ. using the strain transformation equations, determine:- The equivalent in-plane strains on an element oriented at an angle 0 = 60° counterclockwise from the original position. Sketch the deformed element within the x' - y' plane due to these strains. The stresses on the oriented planes in (i) where the value of elasticity, E = 200 GPa and Poisson's ratio n=0 32

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 7.7.26P: - 7.2-26 The strains on the surface of an experiment al device made of pure aluminum (E = 70 GPa. v...

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- 7.2-26 The strains on the surface of an experiment al device made of pure aluminum (E = 70 GPa. v = 0.33) and tested in a space shuttle were measured by means of strain gages. The gages were oriented as shown in the figure. and the measured strains were = 1100 X 106, h = 1496 X 10.6, and = 39.44 X l0_. What is the stress o in the x direction?
A set of strain rosette with three strain gauges at 120° apart is attached onto a steelstructure surface, point P for strain measurement. The state of stress at point P is thendetermined from the acquired strain measurement. The orientation of strain rosette isshown in Figure Q2. When the structure is being loaded the readings of the gaugesare 200μ, -100μ and -200μ at the directions of a, b and c respectively. a) Find the strains values in the x-y directions and draw the strain elementdiagram of that direction.b) Find the principal strain values and draw the strain element diagram of thatdirection.c) Find the maximum shear strain value and draw the strain element diagram ofthat direction.d) If the properties of the structure has E = 208 GPa and ν = 0.28, find themagnitude of the Principal Stresses and draw its stress element diagram.e) Give your comment without calculation on what happen to maximumprincipal strain of the steel (E = 208 GPa) is changed to titanium (E = 110GPa)?
The state of strain in a plane element is Ex = -300 x 10-6 , Ey= 450 x 10-6, and Yxy = 275 x 10-6. (a) Use the strain transformation equations to determine the equivalent strain components on an element oriented at an angle of 0 = 30° counterclockwise from the original position. (b) Sketch the deformed element due to these strains within the x-y plane.
Three (3) strain gauges are fixed on the surface of point A of a structure to analyse strainconditions at point A on a structure, in the respective directions as shown in Figure Q2. When the structure is being loaded the readings of the gauges are 200µ, 350µ and -100µ and the directions of x, a and b respectively. a) Find the strains values in the x-y directions and draw the strain element diagram of thatdirections.b) Find the principal strain values and draw the strain element diagram of that directions.c) Find the maximum shear strain value and draw the strain element diagram of thatdirections.d) If the properties of the structure has E = 208 GPa and n = 0.28, find the magnitude of the Principal Stresses and draw its stress element diagram.e) Give your comment without calculation on what happen to maximum principal strain ofthe steel (E = 208 GPa) is changed to copper (E = 110 GPa)?
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The state of strain at the point on the bracket has components Px = 350(10-6), Py = -860(10-6),gxy = 250(10-6). Use the strain transformation equations to determine the equivalent in-plane strains on an element oriented at an angle of u = 45° clockwise from the original position. Sketch the deformed element within the x–y plane due to these strains.
I Review The state of strain at the point has components of e, = 230 (10 6), e, = -240 (10 ), and Yay = 500 (10 6). Part A Use the strain-transformation equations to determine the equivalent in-plane strains on an element oriented at an angle of 30 ° counterclockwise from the original position. (Figure 1) Enter your answers numerically separated by commas. AEo 1 vec E, Ey', Yr'y = Figure étv