On the free surface of an extruded acrylic polymer [E = 3.5 GPa; v = 0.32] sheet, three strain gages arranged as shown record the following strains at a point: €, = -420 pɛ, ɛb = +600 µɛ, ɛc = +490 µɛ. Determine (a) the strain components E, Ey, and Yxy at the point. (b) the maximum in-plane shear strain Ymax- (c) the stresses O, y, and Tyy at the point.

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 0p, the principal 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 = με με urad urad

A rigid steel bar ABC is supported by threerods made of steel [E=200 GPa]. There is no strain in the rods before load P is applied. After load P is applied, the axial strain in rod (1) is 1,200 µɛ. اسوزن Jago 1,500 mm (a) Determine the axial strain in rod (2). (b) The normal stress in rods (1) and (2). 900 mm (1) (2) (2)

Consider the following strain state: [0.0016 0.0003 [0] = 0.0003 0.0008 0 0 0 0 0.0004] a. Determine the strain matrix for this strain state if the axes are rotated 30° counterclockwise around z-axis. b. Plot Mohr's circle for this strain state.