The Hertz solution for u is: u_(r) = 2D 00 Pl mJ (mr/1) 4 1+ m...
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The Hertz solution for u is: u_(r) = 2πD 00 Pl² mJ (mr/1) 4 1+ m² m=0 dm The solution for u. due to a load spread over a circle with radius a is: u_(r) = P πακί Ĵ m=0 Jo(mr/1)J (ma/1) 1+ m² 4 -dm (wherein J, is the Bessel function of the first kind of order n ) For a set of realistic values of your choice, i.e., P, a, l, k, E, and v: 1. Calculate, plot, and compare the deflection basins in both cases (i.e., point loading vs. loading distributed over a circle) for the range 0≤r≤101. The Hertz solution for u is: u_(r) = 2πD 00 Pl² mJ (mr/1) 4 1+ m² m=0 dm The solution for u. due to a load spread over a circle with radius a is: u_(r) = P πακί Ĵ m=0 Jo(mr/1)J (ma/1) 1+ m² 4 -dm (wherein J, is the Bessel function of the first kind of order n ) For a set of realistic values of your choice, i.e., P, a, l, k, E, and v: 1. Calculate, plot, and compare the deflection basins in both cases (i.e., point loading vs. loading distributed over a circle) for the range 0≤r≤101.
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