F1 E F A D F2
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a) The truss structure in Figure Q4 is supported at A and D with downward vertical load F1 acting at joint E and a downward vertical load F2 acting at joint C. The length of each truss member AB, BE, BC, CD and CF is 1.25 m. If F1 = 95 kN and F2 = 225 kN, determine the reaction force RA and RD at the supports A and D. Give your answers in kilonewtons (kN) to two decimal places.
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b) For the truss structure in Figure Q4, determine the forces FAE, FAB and FCF acting in members AE, AB & CF and clearly state if each member is in compression or in tension. Give your answers in kilonewtons (kN) to two decimal places.
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c) A solid homogeneous truss tie-rod has a diameter of 9.52 mm and an original length of 1.75 m experiences a stress of 600 MPa when placed under tension. If the material used for the truss tie-rod has a Young’s Modulus, E, of 5.8 x 1011 N/m2, calculate: (i) the tie-rod’s extension in millimetres (mm); (ii) the strain energy (U) in Joules; and (iii) the strain energy per unit volume (U/V) in Joules per cubic metre (m3). Give your answers to two decimal places.
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