Question

Problem 4 Statically Indeterminate Axially Loaded Members (25pts) A tie rod (1) and a pipe strut (2) are used to support a 50 kN load, as shown. The cross-sectional areas are A1 = 650 mm2 for tie rod (1) and A2 = 925 mm2 for pipe strut (2). Both members are made of structural steel that has an elastic modulus E 200 GPa. (a) Determine the normal stresses in tie rod (1) and pipe strut (2)·(b) Determine the elongation or contraction of each member. (c) Sketch a deformation diagram that shows the displaced position of joint B. (d) Compute the horizontal and vertical displacements of joint B 2 料 50 kN 1.15 m

Answer 1

Now deformation diagram sin rotation angles are small so displaced position of B is replaced by straight perpendicular from free elongation delta x = 0.523 mm delta_bb = 0.678/sin(42.6) 0.8B = 1mm deltay = squareroot (deltaBB)^2 - (deltax)^2 delta y = squareroot (1)^2 - (0.523)^2 delta y = squareroot (1)^2 - (0.523)^2 delta y = 0.854mm \r\n\\