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Figure 5 shows a piece of fitness equipment installed in a park. The horizontal part of the equipment can be treated as a simply supported beam with its self-weight acting as a uniformly distributed load (UDL) of 58.86 N m A 70.0kg person standing at the centre of the beam can be considered as a point load, F. The length of the beam is 3.00 m, with the symmetric supports 2.40 m apart. 70 kg point load 3,00 m 2.40 m Figure 5 Fitness beam with a point load Perform a static analysis of the fitness bench that encompasses questions (a) to (e) below. a. Draw a free body diagram for the horizontal part of the fitness bench. (2 marks) b. Show that the upward reaction forces at supports A and B both equal 432 N (to 3 s.f.). (3 marks) c. In preparation for drawing the SF and BM diagrams for the fitness bench, you now need to perform calculations to allow you to draw the diagrams correctly. Quantify all relevant forces and moments and include all of your workings in your answer. Give your answers to three significant figures. (12 marks) d. Draw the SF diagram for the fitness bench, labelling the diagram to show the magnitudes of all relevant forces. (4 marks) e. Draw the BM diagram for the fitness bench, labelling the diagram to show the magnitudes of all relevant bending moments. (4 marks)

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Honun - 313 14N -31344 o M

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