Numerical analysis G=5N=35 The vertical stress increment (Ao) due to a point load acting on the surface oflinearly elastic medium is given as:3P23Ao =27Vr² +z?where P is the magnitude of the load, r is the lateral distance, and z is the depth of thepoint where the stress is to be calculated. If P = 10g kN and r = 1.5 m, determine (byusing two methods: fixed-point and Newton-Raphson method) the depth z at whichthe stress increment Ao= 10n kN/m². (Take g=n=student numberand ɛ =1x10-6)

Answered: Image /qna-images/answer/4c3874b6-fabe-4947-a38a-ccb6fd13a935.jpg

Answered: Numerical analysis G=5 N=35

Engineering

Civil Engineering

Numerical analysis G=5 N=35

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Pair of beams (AB) and (CDE) are connected by cable BC and subjected to the concentrated and distrib...

Q: 5 kip 7.5 kip 9'-6" 3'-0" b. 2 kip Figure B. 3.2 kip 3 kip 4.6 kip 5'-0" 5'-0" Figure A. Figure C. 1...

Q: As shown in the figure, the member is anchored at A and section AB lies in the x?y plane. The dimens...

A: Solution- Set the coordinates down.A(0,0,0)B(1.1,1.7,0)C1.1,1.7,1.5Determining the position of vecto...

Q: The hoist shown is used in a machine shop to position heavy workpieces in a lathe. If the cable betw...

Q: 40mm L-600mm P = 20kN 20mim

Q: 2. Draw the load and moment diagrams given the shear diagram as shown. Show all the values at differ...

Q: How could impervious surfaces impact the quality of a stream?

A: Impervious surfaces are usually found in urban areas, land covered by buildings, paved roads, paved ...

Q: In a branching pipe shown, the flow rate in pipe 2 is 40% of pipe 1. Determine (a) size of pipe 2, (...

Q: A distributed load that varies from 20 kN/m to 50 kN/m is applied as shown in the figure. Concentrat...

Q: Determine

Q: 3) The segmented shaft shown below is made up of two shafts. Shaft (1) is a solid shaft with a diame...

Q: Find all forces i member AB,BD,DE

A: given:

Q: 2)lt is desired to sight from Hill A(elev = 3025.62 m) to Hill B(elev = 3048.91 m) 7 km away.Hill C(...

A: To Determine Height of tower to be constructed in each of the three cases.

Q: Determine the smallest allowable dimension b of the section

Q: What is the volume of the cut (m3) using the prismoidal correction formula?

A: Volume of cut using prismoidal formula is given by:- V=d/3*(A1+An+4(A2+A4+...)+2(A3+A5+...)) This fo...

Q: Problem 3 Using the method of virtual work, determine the VERTICAL displacement of joint A on the be...

A: Virtual work method: The virtual work approach, also known as the virtual force method or the unit-l...

Q: Write the shear and moment equations (not simplified and simplified) at each segment of the beam sho...

A: Shearforce: Clockwise positive Anticlockwise negative Bending moment: Clockwise negative Anticlo...

Q: *10-24. A cast iron pipe having a diameter of 100 mm is used to fill the cylindrical tank with water...

Q: ne girt is to span 4 jected to full-span own. The girt is ori horizontal plane. T. s the weight of t...

Q: B D fom fm Draw the influence line for the beam 1 Reaction at A 2 Reaction at C 3 Shear at B 4 Momen...

Q: 5. Point P1 has coordinates N 5000.000 E 6000.000 Point P2 has coordinates N 5100.000 E 5800.000 Cal...

A: Note:- We are not allowed to provide handwritten solutions. Given:- The coordinates of point P1 = N ...

Q: 1. Compute and adjust the following set of closed-loop level observations: Pt BS HI FS Elev BM A 5.4...

A: To compute and adjust the closed loop level.

Q: Determine the submerged depth of a cube steel 0.30 m on each side floating in mnercury. Thespecific ...

Q: Beam width = 276 mm %3D Beam height = 411 mm %3D Jarying load = 18.45 kN/m Span of the beam = 9 m %3...

A: Beam width = 276mm Beam depth = 411mm Moment Of inertia = BD3/12 = 1.5968 x 10 9mm4 Prestressing For...

Q: The azimuth of the tangents of the simple curve is 514 degrees and 759 degrees respectively. The rad...

A: azimuth : Azimuth is an angular measurement in a spherical coordinate system. The azimuth is the ang...

Q: Enumerate the steps in determining the ultimate moment strength of a singly-reinforced RC beam.

A: A singly reinforced beam is a concrete beam with only one tension zone of the cross-sectional area c...

Q: A line was determined to be 95.25 m when measured wi hroughout its length under a pull of 4kg at a m...

Q: 1/2 Determine the magnitude of the vector sum V = V + V2 and the angle 0, which V makes with the pos...

Q: Five years ago, when the relevant cost index was 120, a nuclear centrifuge cost $40,000. The centrif...

Q: A W14x61 of A992 steel is used as beam and has continuous lateral support. The load P is a service l...

A: Given data W 14 x 61 A992 steel Ag = 17.9 in 2 Zx = 102 in 3

Q: What are the importance of the Code of Ethics for the Sanitary Engineers professional practice. ...

A: 1) code of ethics is important for an sanitary engineer to maintain honesty, morality and being tru...

Q: 2/7 The two structural members, one of which is in ten- sion and the other in compression, exert the...

Q: the moist unit weight of a soil is 19.2kN/m3. Given that Gs = 2.69 and w =9.8%, determine the void r...

A: Gs=2.69 w=9.8% Ymoist=19.2kN/m3

Q: A cantilever beam, a C12 x 30 section, issubjected to its own weight and a point load at B.Find the ...

A: Given data:

Q: Water is discharged through a nozzle having a diameter of the jet of 100 mm at a velocity of 60 m/s....

Q: Classify the following 3 soils by the AASHTO soil classification system. Sieve Analysis, % Finer No....

A: To Determine Classify the given Soil samples according to AASHTO soil classification system. Please ...

Q: A 10 million cubic yard levee was constructed by compacting soil to a total unit weight of 120 pcf, ...

A: Given data -

Q: Show me this drawing Step by step how to draw it. thank you 25 1209 105° 30 Ø16 60° 40 60 70 it's fr...

A: To Determine Steps to be followed to draw the given drawing in CADD software.

Q: INSTRUCTIONS: COPY THE GIVEN TRUSS AND SOLVE FOR THE MEMBER 12 FORCES: AB, AC, BC, BD, BE, BF, CF, 1...

A: Given constructed figure Here we have to find the member forces AB,AC,BC,BD,BE,BF,CF,DE,DF

Q: Any of various techniques for representing three dimensional objects and spatial relationships on a ...

A: A) Axonometric:- Axonometric presentation is indeed a sort of orthographic view in which an item is ...

Q: 10-15. Water in the concrete detention pond is to be pumped over the berm and into the lake. If the ...

A: Given: The diameter of the hose is 8 in. The roughness is 0.0006 ft. The flow rate is 2400 gal/min. ...

Q: How to solve it in calculator, what mode do I use, and how to input it in calculator. Thank you.

A: I give answer in three parts, 1) the concept 2) procedure 3) solution. If you are in hurry directly...

Q: Write the shear and moment equations (not simplified and simplified) segment BC, CD and DE of the be...

Q: Write the shear and moment equations (not simplified and simplified) at each segment of the beam sho...

Q: A pile of diameter 457 mm is fully embedded in a clay strata as shown in figure. C- 25 kN/m y= 16 kN...

Q: The following rainfall data in 5-minute intervals were recorded for a storm: Time (min): Depth (in) ...

A: Given Data -

Q: 10-59. Water at 20C flows through the 20-mm-diameter galvanized iron pipe such that it discharges at...

A: To identify type of flow we just need to calculate Reynold number Re Re = Vdνw V = Velocity at inlet...

Q: four-lane, two-way highway 5.0 km long has a traffic volume of 25,000 vehicles per day. If for the l...

A: Hi! Thank you for the question As per the honour code, We’ll answer one question since the exact one...

Q: I am studying for an exam and so I really need the step by step process guideline from the start to ...

A: Given data:

Q: The segmented shaft shown below is made up of two shafts. Shaft (1) is a solid shaft with a diameter...

A: Given data: Solid shaft diameter =1.5" Hollow outside diameter =2.5" Hollow inside diameter =1.75" G...

Concept explainers

Dimensional homogeneity

The term dimensional homogeneity means that in an equation, the dimensions of each term on both sides are equal, which means the dimensions of the left-hand side (LHS) of an equation are similar to the dimensions of the right-hand side (RHS). For a dimensionally homogeneous equation, the powers of fundamental dimensions will be identical on both sides of the equation.

Question

Numerical analysis G=5 N=35

The vertical stress increment (Ao) due to a point load acting on the surface of
linearly elastic medium is given as:
3P23
Ao =
27Vr² +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=
n=student number
and ɛ =1x10-6)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

Another way of testing flexure strength is by quarter point loading as shown. The sample section is 150mm x 150mm. If both P = 50,000N, what is the stress at failure at point O? %3D P 200mm 200mm 200mm Point O 600mm R1 |R2
Problem example Example 7-5: The state of plane stress at a point with respect to the xy- axes is shown in the figure. Using Mohr's circle, determine (a) The principal stresses and principal planes and sketch the results. (b) The maximum shear stress. Draw Mohr's circle 78.75 MPa 33.61 MPa 22.11 MPG 3. Op
Consider the following figure. hị h A B (a) Determine the maximum tensile stress o, and maximum compressive stress o, (in MPa) due to the load P acting on the simple beam AB. Data are P = 6.8 kN, L = 3.4 m, d = 1.03 m, b = 80 mm, t = 25 mm, h = 120 mm, and h, = 90 mm. (Use the deformation sign convention.) MPa 0. = MPа (b) Find the value of d (in m) for which tensile and compressive stresses are the largest. What are these stresses (in MPa)? (Use the deformation sign convention.) = p MPa MPa
The vertical stress increment (Ao) due to a point load acting on the surface of linearly elastic medium is given as: g = 4 n = 17 3P23 27vr? +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 andr = 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)
determine the maximum shear stress. sketch thesection stress distribution
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: 3P: 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/m. (Take g=student group number A=1, B=2, C=3, D-4, and E-5, n=student number in his/her group, and &=1x10") g=3 n=35
A distributed load of w N/m is applied over an entire length of a simply supported beam 8m long. The beam section is made up of four 20mmx100mm rectangles arranged as shown. A. Determine the maximum value of w without exceeding the permissible flexure stress of 10MPa. B. Determine the maximum value of w without exceeding the permissible shear stress of 1.2MPa. C. Determine the maximum value of w without exceeding the permissible screw strength of 800N for a pitch of 75mm.
For the state of plane stress shown on the right, using a Mohr's circle technique, determine (a) the principal planes, (b) the principal stresses, (c) the maximum shearing stress and the corresponding normal stress. Sketch the results correspondingly on a correctly orientated stress element. 10 MPa -40 MPa 50 MPa
SHow complete solution and include necessary figure. At a point, the normal and shear stresses acting on one plane are 8,000 psf compression and 2,000 psf, respectively. On a perpendicular plane, the normal and shear stresses are 2,000 psf compression and 2,000 psf, respectively. (a) Draw the Mohr’s circle. (b) Determine the value of the principal stresses. (c) Find the angle between the plane on which the 8,000 psi compressive stress acts and the major principal plane. (d) What is the maximum shear stress acting at the point?
90 MPa For the shown 2D stress element, sketch Mohr circle then, use Mohr circle to find the normal and shear stresses at a point on the indicated inclined plane. 105 MPa 140° 30 MPa Verify your results (ơn, Tnt) using stress transformation eqns. Illustrate the following on Mohr circle: center of Mohr Circle, reference point A, principle stresses, max in-plane shear stress, inclined plane, orientation of inclined plane) :)
1. Given the following data: Cross section: 50mm x 75mm P = 200 kN e = 15° with the x-axis a. Find the tensile stress (in MPa) on plane A-A. b. Find the shear stress (in MPa) on plane A-A. c. Find the angle (in degrees) of plane A-A in which the shear stress is maximum.
Determine the maximum normal stress (in Mpa) in bar ABCD if the cross-sectional area of the bar is A = 532 mm2 and P= 35.29 kN. Round off the final answer to four decimal places.