N=16 Numerical Analysis (HW. #1) The vertical stress increment (A) due to a point load acting on

N=16

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Numerical Analysis (HW. #1) The vertical stress increment (A) due to a point load acting on the surface of linearly elastic medium is given as: 3Pz³ Ao = 2π√√² +: where P is the magnitude of the load, r is the lateral distance, and z is the depth of the point where the stress is to be calculated. If P = 10g kN and r = 1.5 m, determine (by using two methods: fixed-point and Newton-Raphson method) the depth z at which the stress increment Aσ= 10n kN/m². (Take g-student group number A=1, B=2, C=3, D=4, and E=5, n=student number in his/her group, and ε = 1×106) Numerical Analysis (HW. #1) The vertical stress increment (A) due to a point load acting on the surface of linearly elastic medium is given as: 3Pz³ Ao = 2π√√² +: where P is the magnitude of the load, r is the lateral distance, and z is the depth of the point where the stress is to be calculated. If P = 10g kN and r = 1.5 m, determine (by using two methods: fixed-point and Newton-Raphson method) the depth z at which the stress increment Aσ= 10n kN/m². (Take g-student group number A=1, B=2, C=3, D=4, and E=5, n=student number in his/her group, and ε = 1×106)

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