Problem 1: Using two CST elements, solve the simple shear problem depicted in the figure and determine whether the CST elements can represent the simple shear condition accurately or not. Material properties are given as E= 10 GPa, v=0.25, and thickness is h = 0.1 m. The distributed force f = 100 kN/m² is applied at the top edge. 1 m (4 box 1m 3 (2) X

15 kN 2) Two objects are glued on the angled plane as shown in figure. If the ultimate stress for the glued joint are 20 MPa and 10 MPa for tension and shearing stress respectively, find the value of 0 that corresponds to the maximum factor of safety and find the value of this maximum factor of safety. 0.035 m 0.05 m

Try One scene 7 of 7 The bar has a 90 mm by 20 mm rectangular cross section. If P = 80 kN, determine the force components perpendicular (N) and parallel (V) to a – a, the inclined surface area, and the normal and shear stress magnitudes acting on surface a – a. 90 mm 62° a N kN kN Aa-a mm2 P = 80 kN MPa MPа Try one 1st 2nd 3rd Enter attempt

1) The triangular plane stress problem connected to a spring, is subjected to a uniformly distributed load and two point forces. Calculate the nodal displacements and the spring force using two triangular finite elements. k = 3x105 kN/m (spring constant) h = 0.20 m (thickness) E = 3x107 kN/m² (modulus of elasticity) v = 0.20 (Poisson's ratio) 1.5 m 40 kN 30 kN/m 50 kN 2 m 2 m