Assume a Space Launch System (Figure 1(a)) that is approximated as a cantilever undamped single degree of freedom (SDOF) system with a mass at its free end (Figure 1(b)). The cantilever is assumed to be massless. Assume a wind load that is approximated with a concentrated harmonic forcing function p(t) = p.sin (wt) acting on the mass. The known properties of the SDOF and the applied forcing function are given below. Mass of SDOF: m= 120 kip/g Acceleration of gravity: g = 386 in/sec² • Bending sectional stiffness of SDOF: EI 1015 lbfxin² Height of SDOF: h = 3000 inches Amplitude of forcing function: p. = 6 kip
Assume a Space Launch System (Figure 1(a)) that is approximated as a cantilever undamped single degree of freedom (SDOF) system with a mass at its free end (Figure 1(b)). The cantilever is assumed to be massless. Assume a wind load that is approximated with a concentrated harmonic forcing function p(t) = p.sin (wt) acting on the mass. The known properties of the SDOF and the applied forcing function are given below. Mass of SDOF: m= 120 kip/g Acceleration of gravity: g = 386 in/sec² • Bending sectional stiffness of SDOF: EI 1015 lbfxin² Height of SDOF: h = 3000 inches Amplitude of forcing function: p. = 6 kip
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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