Question

On the aluminum plate (E-70GPa, v= 0.25), three 45° rosette gages measure E4-5001, a.-150μ and 2001, respectively (,-"X 10-6"). Note the alignments of the gages with respect to the coordinate axes as shown. 45° (a) Determine the strain components a, a, & and (b) Compute the stress components o, σ , o, and Tp, using the Hooke's law, and the strain energy density JH (c) (extra credit 4pts) Draw the Mohr's circle for strain and mark corresponding strains at A, B and C on the eirc

please provide a neat, correct and order wise solution thanks, thumbs up

Answer 1

write the equation for measured value 500x10-, cos 0+8, sin 0 sin0 cos0 500x10- +0+0 500x10-5 write the equation for measured value εΒ 1 50x10-6-ε, cos* 45°, sin, 45°1, sin 45°. cos 45° 1500 500x10%e, -300x 10-5 Write the equation for measured value ec

200 x 10-6 =E, Cos* 904 ε, sin' 90°+70. sin 90°. cos 90° 200 x10-6-0+, +0 e 200x10 From equation (1) є, +y,--200x10-6 200x 10-6 200x 10-6 ,--400x10-6 Calculate e (0.25) ー0-5)1500×10-6 +200× 10-6) 1-(0.25) (0.25) 0.75 700x10-5 --2.333x10 Calculate stress component σ

- (500x109) (70x10* -35 MPa Calculate stress component Ơ (200x10 70x109 -14 MPa Calculate stress component Ơ (-2.333x10) (70x10) --16.33 MPa Calculate modulus of n gidity 2(1+V 70 2(1+0.25) -28 GPa Calculate stress component T.

(-) -400x10-6 28x10 --11.2 MPa Consider the Mohr circle.

219 lyと.tt_-3 rp