A design team insists that the truss shown in Problem Figure
A design team insists that the truss shown in Problem Figure (a) is the best solution for a space system to be launcbed to Mars. A different team insists that they have a better design whose idealization is shown in Figure (c) The two idealizations shown in Problem Figure (b) and (c) and represent the math models of the two competing designs. Complete the following tasks. (a) Spacecraft truss design Estimate the weights of both designs if 1lowuble for tension elements is 66,000 psi. with E-10,500,000 psiThe truss element cross-sections must be circular with radius r, so that 1-tr4/4 or 1 A2/4 where A is the cross-sectional area. Which structure will be lighter? The structural models are shown together with their applied loads and internal loads. You will have to determine whether the intemal loads are tensile or compressive. Compute the strain energy in each of the two designs. Which design has less strain energy? a. b. 10 kip 10 10 1.1 hip 1 t0 10 Kp 5 kip 10 kip 5 kip 5 kip 5 kip 20 20 (b) Spacecraft truss idealization (c)- Competing spacecraft truss
Solution
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