Numerical Analysis (HW. #1) The vertical stress increment (Ao) due to a point load acting on the surface of linearly elastic medium is given as: 3PZ3 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=10 , and & =1x10-6)

Numerical Analysis (HW. #1) The vertical stress increment (Ao) due to a point load acting on the surface of linearly elastic medium is given as: 3PZ3 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=10 , and & =1x10-6)

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

The flow stress (in MPa) of a material is given by o = 500 0.1, Where & is true strain. The Young's modulus of elasticity of the mater 41 is 200GPa. A block or thickness 100 mm made of this material is compressed to 95 mm thickness and then the load is removed. The final dimension of the block (in mm) is
Q1. If the yield stress (oy) of a material is 375MPa, determine whether yield is predicted for the stresses acting on both the elements shown below using: P₁=-215 RF 330 (a) Tresca Criterion (b) Von Mises Criterion Q = 200 Element A Note: your values for P (vertical load on Element A) should be negative (i.e. corresponding to a compressive vertical load). Element B S=90
Please show the step by step cancellation on how the bulk modulus formula became V2 formula (volume)
Show all calculation and formula used: The second floor portion of a house is about to break down, so it was propped up by an iron column 4.0 meters long with cross sectional area of 30.0 cm^2. The iron column was compressed by 0.015 mm. How much load (N) the iron column is supporting? Y of iron = 19x10^10 Pa
It is located on the ground with a safety stress of 50 kg/cm^2. a) Find the biggest P value that can be transported depending on the ground. b) Determine the fundamental thickness depending on this load. (Slip safety stress for foundation and material= 100 kg/cm^2)
Q.4. A 30 m tape weighs 12 g/m and has a cross sectional area of 0.020 cm². It measures correctly when supported throughout under a tension of 85 N and at a temperature of 20°C. When used in the field, the tape is only supported at its ends, under a tension of 85 N. The temperature is 13°C. What is the distance of zero and 30 mark under these conditions?
Determine final dimension of the block in mm
Please Answer all the parts
Q2: A spacer is turned from Aluminum alloy with elasticity modulus of 78 GN/m?. The spacer has a diameter of 28 mm and a length of 245 mm. both measurements being made at 20°C. The temperature of the spacer is then increased to 100 °C, the natural expansion being entirely prevented. Taking the coefficient of linear expansion to be 18 x 10-6 °C. Determine the compressive load on the spacer.
Pressure vessels are very common in many industries. The purpose of this exercise is to examine how stresses evolve within the walls of a pressure vessel as a function of position within the wall and wall thickness. Recall the thick-walled cylinder solution developed in class. Re-write the solution to the case of a thick-walled cylinder with inner radius a, outer radius b, internal pressure p₁, and external pressure, p2. Orr = 000 = + a²p₁-b²p2 (P2₂ - P₁)a²b² 1 (b²-a²) (6²-a²) ²¹ a²p₁b²p2 (b²-a²) 1 axis (P2 - P₁)a²b² 1 (b²-a²) r² (a) Draw a diagram showing the evolution of orr and σ00 from a to b when a/b=0.5 and P2 = 0. (b) Make the assumption that p₂ = 0, a + b ≈ 2r, ba≈t, and a b≈r to derive the expression for orr and one for a thin-walled pressure vessel. For a sanity check, your solution should be arr 0 and σ00 = pir/t. = (c) Now consider the classical strength of materials approach to pressure vessels. Imagine the pressure vessel shown in Fig. 2 (note, the radius of the…
A copper rod [E= 113 GPa] originally 606 mm long is pulled in tension with a normal stress of 242 MPa. If the deformation is entirely elastic, what is the resulting elongation (in mm)? Note: Do not include units in your answer Answer: mage Next page rnonline.gmit.ie/mod/quiz/attempt.php?attempt=5462898.cmid-4251738page.. S°C ostly sloudy ecolutions BICVelleda BIC Velleda. MARKER WHITEBOARD
H