Answer Happy

For the frame shown below, q = 1.1 kN/m and L=8 m. (1) Analyse the frame assuming beam = 21 and column = 1. (2) Determine the deformed shape and BMD of the frame. In BMD, determine (a) relevant values at the "strategic" points; (b) magnitude(s) and location(s) of the local maximum or minimum moment(s); and (c) location of contraflexural point(s). (Hint: make use of the principle of superposition.). 12 kN I q q 'H D 30 m 30 m 20 m E F TTTM 6 kN, 6 kN q q mm. Hmm. ↓↓ B D Am ¡H L I L H E + B L 2L F TIMM (Symmetric frame)

A Am Part a) Task 1: B 6 kN L H 6 kN с El, KBE L E F TIIM Symmetric frame: The boundary condition at H is: O Free end O Hinge O Sliding roller Determine the bending stiffness: Flexural stiffness: KBA = End rotational stiffness: SBA= KBA= El, KBH= EI, SBE = D ΕΙ (Antisymmetric frame) EI, SBH = KBE = KBH = EI