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)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 14E: A cylindrical orange juice container has metal bases of radius length 1 in. and a cardboard lateral...
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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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