Question

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The rectangular plate is deformed into the shape shown by the dashed lines. The plate is made of a material whose stress-strain diagram is given below. a) Calculate the normal strain of diagonal AC. b) Calculate the shear strain at corner A. c) What stress is needed to cause the strain calculated at A? d) After all stress is removed from the plate, what is the permanent strain at corner A? (ksi) 6 mm -400 mm 2 mm -------- ותו 6 mn 300 mm 2 mm - y (rad) (rad) 0.005 400 mm --3 mm 0.05

Answer 1

400 A a) strain of diagonal AC / strain = AL = Change in length original length LAL = 500mm ALAC = 652 mm AC= 5 300² + 4002 But final length is | AC= 500mm (on Change in Length initial) (c = 652 mm it is the Change in lengths Strain of 652 AL 632 = 0.017 500 (6) shear strain at Corner A. - 2mm Shear strain = rym at A 300 mm, AD 18 = 0.0067 300mm T at straim of (0.0067) lies at A point JS-50 TA = 50+ (75- 50 W +1 0.0067 (0.05-0.005 -0.005 0.005 (0.0067 T = 50+ 25 x 0.0017 0.045 To = 50+0.94 TA= 50.94 ksi