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problem 1: The rigidly jointed frame shown in Figure has bending stiffnesses such that EIAB = 1000kNm2and EIBC = EICD = 1600kNm2.

A) Determine the joint rotations at B and C.
B) Hence, plot a bending moment diagram for the frame stating principal values.
C) Sketch a displaced shape for the frame.

1193_rigidly jointed frame.jpg

problem 2: Determine the critical load (Wcrit) to cause elastic instability of the rigidly jointed  frame shown in figure below. The frame members have constant bending stiffnesses (EI) as indicated on the figure, where E is the modulus of elasticity and I is the second moment of area.

2383_critical load.jpg

problem 3. For the collapse loads indicated in figure below, find the required plastic moment of resistance (Mp). The frame members have  varying  plastic moments of resistance as indicated on the figure.

1192_collapse loads.jpg

problem 4: The two-storey  frame shown in Figure below is such  that  the self-mass may be considered to be located at the beam levels and the beams may be presumed to be rigid. The self-mass (m) at each beam level and column stifnesses (EI) are  indicated on the figure, where E  is the modulus of elasticity and I is the second  moment of area. Determine the natural circular frequencies and natural modes of vibrations of the frame and provide sketches of these.

2243_two storey frame.jpg

Civil Engineering, Engineering

  • Category:- Civil Engineering
  • Reference No.:- M9825

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