Materials Behaviour from Atoms to Bridges Assignment - Distributed loads and static equilibrium
(Please note: you should show your steps with necessary figures)
Q1. Two beam sections are jointed at C and supported at A by a pin and at B and D by rollers. The loads are given in the figure. Determine the reactions at A, B and D. Neglect the self weight of the beam.
Q2. The beam is supported at A by a pin and a roller at B. The loads are given as shown in the figure below. Neglect the self-weight of the beam, determine: (1) the magnitude of the moment M which will cause the beam to just begin to lift off the roller at B; (2) For this value of M, determine the magnitude of the pin action at A.
Q3. A truss structure is fixed to the wall at A by a pin and supported at E by a roller. If the weight of the structure is negligible, determine: (1) The reactions at A and E; (2) What is the maximum value which P may have for static equilibrium?
Q4. A horizontal uniform beam is fixed to the wall at O and is subjected to three external loads as shown in the figure below. The self-weight of the beam is 500 kg. Determine the reactions at the support point O. Please note that the x-y plane is vertical.