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) = posin(ωt) 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 lbf×in2 • Height of SDOF: h = 2000 inches • Amplitude of forcing function: po = 6 kip • Forcing frequency: f = 8 Hz

Principles of Foundation Engineering (MindTap Course List)
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Author:Braja M. Das, Nagaratnam Sivakugan
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Chapter8: Vertical Stress Increase In Soil
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Problem 8.6P: Two line loads q1 and q2 of infinite lengths are acting on top of an elastic medium, as shown in...
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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) = posin(ωt)
 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 lbf×in2
 • Height of SDOF: h = 2000 inches
 • Amplitude of forcing function: po = 6 kip
 • Forcing frequency: f = 8 Hz

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