Question

Problem 3 Statically Indeterminate Axially Loaded Members (25pts) The assembly shown consists of rigid bar ABC, two fiber-reinforced plastic (FRP) rods (1) and (3), and FRP post (2). The modulus of elasticity for the FRP is E = 18 GPa. Determine the vertical deflection of joint D relative to its initial position after the 30 kN load is applied. 2.4 m 1.8 m Rigid bar | B |(2) (3) || 3.0 m 3.6 m A = 500 mm? Az= 500 mm? Az= 1,500 mm? V P= 30 kN

Answer 1

Here the assembly shown consists of rigid bar ABC, two fiber - reinforced plastic (FRP) road (1) and (3) , and FRP post (2) the Modulus of elasticity f_0 the FRP is E = 18 Gpa determine the vertical deflection of point 'D' relative to its initial position after the 30 - KN load is applied the three axial members are connected to the rigid beam by pins. Assume that member (1) is pinned to the foundation at 'F' and member (2) in the foundation at 'E' Now we plan the solution: - the deflection of joint 'D' relative to its initial position \r\n must be computed The deflection of 'D' relative to joint 'c' is simply the elongation in member (3) The challenge in the problem, however, lies in computing the deflection at 'c' The rigid bar will deflect and rotate due to the elongation and contraction in members (1) and (2) To determine the final position