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Show that the complex form of the Fourier series expansion of the periodic function
Is
Using (7.52), obtain the corresponding trigonometric series and check with the series obtained in Example 7.5.
Example 7.5
A periodic function f(t) with period 2π is defined asf(t) = t 2 (-π t π), f(t) = f(t + 2π)
Obtain a Fourier series expansion for it.
(a) At what surface temperature must the plate be maintained to achieve a condensation rate of m = 25 kg/h? (b) Compute and plot the surface temperature as a function of condensation rate for 15 m 50 kg/h.
What is a beam? What factors determine the maximum load that it can take without failure?
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Compare the moment capacity of the beam in part a with that shown in the figure part b which has two 4 in. ×12 in. joists (nominal dimensions) attached to a 1/4 in. × 11.0 in. steel plate
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