a. In Problem 10.36 show that the spring spacing is sufficiently small to justify the analysis as a beam on an elastic foundation.
b. In terms of the functions Cβz and Dβz from Eq. 10.16, derive a formula for the deflection y of the beam.
Problem 10.36
A steel I-beam (depth = 102 mm, Ix = 2.53 × 106 mm4, and E = 200 GPa) is long and supported by many springs (K = 100 N/mm) spaced at distance l = 500 mm center to center along the beam. A load P = 3.50 kN is applied to the left end of the beam at a distance of 2.00 m from the first spring. Determine the maximum flexural stress in the beam and maximum tension load and maximum compression load in the springs. Hint: M0 = -P (2000 - l/2)
(10.16)
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