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The vertical stress increment (Aơ) due to a point load acting on the surface of linearly elastic medium is given as: 3P23 Ao =- 27Vr? +z? 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 Ao = 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 ɛ =1x10-6)

The vertical stress increment (Aơ) due to a point load acting on the surface of linearly elastic medium is given as: 3P23 Ao =- 27Vr? +z? 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 Ao = 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 ɛ =1x10-6)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Numerical analysis n=16 g=5
The vertical stress increment (Aơ) due to a point load acting on the surface of linearly elastic medium is given as: 3P23 Ao =- 27Vr? +z? 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 Ao = 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 ɛ =1x10-6)
Transcribed Image Text:The vertical stress increment (Aơ) due to a point load acting on the surface of linearly elastic medium is given as: 3P23 Ao =- 27Vr? +z? 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 Ao = 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 ɛ =1x10-6)
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