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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.

458_figure.png

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.

1486_figure1.png

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?

19_figure2.png

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.

1134_figure3.png

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