Golden method
The deflection of a uniform beam subject to a linearly increasing distributed load can be computed as
y=w0120EIL(−x5+2L2x3–L4x)
y=w0120EIL(−x5+2L2x3–L4x)
Given thatL=500cm,E=50,000kN/cm2,
I=30,000cm4
, and
w0=2.0kN/cm,
determine the point of maximum deflection graphically, using the golden-section search until the approximate error falls below
εs= 1% with initial guesses of
xl=0
and
xu=L
Homework Answers
Request Answer!
We need at least 10 more requests to produce the answer.
0 / 10 have requested this problem solution
The more requests, the faster the answer.
The deflection of a uniform beam subject to a linearly increasing distributed load can be compute...
The deflection of a uniform beam subject to a linearly increasing distributed load can be computed by using the following equation: y = ( 120EIL Given that L 600 cm, I 30,000 cm, wo-2500 N/cm, and E 50,000 KN/cm2 2. Develop a Matlab code that would implement the Golden-Section search method to find the maximum deflection until the error falls below 1% with initial guesses of Xi = 0 and Xu-L. Display all of the following: xl, xu, d, x1...
Use bisection method to determine the point of maximum deflection of the beam subject to a linearly increasing distributed load shown in the figure below
Use bisection method to determine the point of maximum deflection of the beam subject to a linearly increasing distributed load shown in the figure below (the value of x where dy/dx= 0). Then substitute this value into the equation to determine the value of the maximum deflection. Use the following parameter values in your computation: L = 600 cm, E=50,000 kN/cm2, I=30,000 cm4, and w0 =1.75 kN/cm.
Problem statement Beam Deflection: Given the elastic deflection equation for a beam with the boundary and...
Problem statement Beam Deflection: Given the elastic deflection equation for a beam with the boundary and loading conditions shown below, determine the maximum downward deflection (i.e. where dy/dx = 0) of a beam under the linearly increasing load wo = 10 kN/m. Use the following parameter values: L = 10m, E = 5x108 kN/m², 1 = 3x10-4 m4. Use the initial bracket guesses of XL = 0 m and xu = 10 m. Wo. wol(x5 + 2L?x3 – L^x), (1)...
Figure P5.13a shows a uniform beam subject to a linearly increasing distributed load. The equation for the resulting elastic curve is (see Fig. P5.135)
Figure P5.13a shows a uniform beam subject to a linearly increasing distributed load. The equation for the resulting elastic curve is (see Fig. P5.135) Use bisection to determine the point of maximum deflection (that is, the value of x where dy/dx = 0). Then substitute this value into Eq. (P5.13) to determine the value of the maximum deflection. Use the following parameter values in your com- putation: L = 600 cm, E = 50,000 kN/cm², I = 30,000 cm, and w0...
Uniform beam under distributed load
Case 1: Uniform beam under distributed load.In the shown Figure, a uniform beam subject to a linearly increasing distributed load. The deflection \(y(\mathrm{~m})\) can be expressed by \(y=\frac{w_{o}}{120 E I L}\left(-x^{5}+2 L^{2} x^{3}-L^{4} x\right)\)Where \(E\) is the modulus of elasticity and \(I\) is the moment of inertia \(\left(\mathrm{m}^{4}\right), L\) length of beam.Use the following parameters \(L=600 \mathrm{~cm}\), \(E=50,000 \mathrm{kN} / \mathrm{cm}^{2}, I=30.000 \mathrm{~cm}^{4}, w_{\mathrm{o}}=2.5\)\(\mathrm{kN} / \mathrm{cm}\), to find the requirements1) Develop MATLAB code to
determine the point of maximum
deflection...
Need help!! 1. (25 Points) In the figure below, figure (a) shows a uniform beam subject...
Need help!!
1. (25 Points) In the figure below, figure (a) shows a uniform beam subject to a linearly increasing distributed load which starts a 0 at the left end and increases to Wo on the right end. As depicted in (b), the beam deflection can be computed with 4 120EIL where E is the modulus of elasticity [kN/cm2] and I is the moment of inertia [cm]. Calculate each of thee following quantities (take the derivatives by hand) and plot...
Refer to the textbook or other references specified in the course syllabus, read about Golden-Section Search...
Refer to the textbook or other references specified in the course syllabus, read about Golden-Section Search Method for One-Dimensional Unconstrained Optimization and solve the following problem. An object can be projected upward at a specified velocity. If it is subject to linear drag, its altitude as a function of time can be computed as: 2= 20 + " (vo + mg) (1 – e-641m) mg, where z = altitude (m) above the earth's surface (defined as z = 0), zo...
Need solution for question 5.6 using python? tation to within e, 5.11 Determine the real root...
Need solution for question 5.6 using
python?
tation to within e, 5.11 Determine the real root of x 80: (a) analytically and (b) with the false-position method to within e, = 2.5%. Use initial guesses of 2.0 and 5.0. Compute the estimated error Ea and the true error after each 1.0% teration 5.2 Determine the real root of (x) 5r - 5x2 + 6r -2 (a) Graphically (b) Using bisection to locate the root. Employ initial guesses of 5.12 Given...
I wonder how to a problem 5.13. This problem is related to applied numerical methods with Matlab(third edition). I want Matlab code. 5.13 Figure P5.13a shows a uniform beam subject to a lin- early...
I wonder how to a problem 5.13.
This problem is related to applied numerical methods with
Matlab(third edition).
I want Matlab code.
5.13 Figure P5.13a shows a uniform beam subject to a lin- early increasing distributed load. The equation for the result- ing elastic curve is (see Fig. P5.13b) htm U) (P5.13) 3 3" Use bisection to determine the point of maximum deflection (i.e, the value of x where dy/dx 0). Then substitute this value into Eq. (P5 13) to...
The deflection of a uniform beam subject to a linearly increasing distributed load can be computed by using the following equation: y = ( 120EIL Given that L 600 cm, I 30,000 cm, wo-2500 N/cm, and E 50,000 KN/cm2 2. Develop a Matlab code that would implement the Golden-Section search method to find the maximum deflection until the error falls below 1% with initial guesses of Xi = 0 and Xu-L. Display all of the following: xl, xu, d, x1...
Problem statement Beam Deflection: Given the elastic deflection equation for a beam with the boundary and loading conditions shown below, determine the maximum downward deflection (i.e. where dy/dx = 0) of a beam under the linearly increasing load wo = 10 kN/m. Use the following parameter values: L = 10m, E = 5x108 kN/m², 1 = 3x10-4 m4. Use the initial bracket guesses of XL = 0 m and xu = 10 m. Wo. wol(x5 + 2L?x3 – L^x), (1)...
Need help!!
1. (25 Points) In the figure below, figure (a) shows a uniform beam subject to a linearly increasing distributed load which starts a 0 at the left end and increases to Wo on the right end. As depicted in (b), the beam deflection can be computed with 4 120EIL where E is the modulus of elasticity [kN/cm2] and I is the moment of inertia [cm]. Calculate each of thee following quantities (take the derivatives by hand) and plot...
Refer to the textbook or other references specified in the course syllabus, read about Golden-Section Search Method for One-Dimensional Unconstrained Optimization and solve the following problem. An object can be projected upward at a specified velocity. If it is subject to linear drag, its altitude as a function of time can be computed as: 2= 20 + " (vo + mg) (1 – e-641m) mg, where z = altitude (m) above the earth's surface (defined as z = 0), zo...
Need solution for question 5.6 using
python?
tation to within e, 5.11 Determine the real root of x 80: (a) analytically and (b) with the false-position method to within e, = 2.5%. Use initial guesses of 2.0 and 5.0. Compute the estimated error Ea and the true error after each 1.0% teration 5.2 Determine the real root of (x) 5r - 5x2 + 6r -2 (a) Graphically (b) Using bisection to locate the root. Employ initial guesses of 5.12 Given...
I wonder how to a problem 5.13.
This problem is related to applied numerical methods with
Matlab(third edition).
I want Matlab code.
5.13 Figure P5.13a shows a uniform beam subject to a lin- early increasing distributed load. The equation for the result- ing elastic curve is (see Fig. P5.13b) htm U) (P5.13) 3 3" Use bisection to determine the point of maximum deflection (i.e, the value of x where dy/dx 0). Then substitute this value into Eq. (P5 13) to...
Most questions answered within 3 hours.
-
Of the 28 restaurants in an area, 4 serve on one type of
cuisine, 9 serve...
asked 6 minutes ago -
Which of the following is FALSE for catabolic pathways?
They are oxidative.
They generate oxidized enzyme...
asked 21 minutes ago -
Question 3 (20 Marks)
Read the text below and answer the question
accordingly.
ABC Enterprises Cc...
asked 28 minutes ago -
How does computer technology such as patient portals
affects revenue and expenses in a healthcare
environment?
asked 28 minutes ago -
what is the most stable chair conformation for beta -
D - Mannose
asked 29 minutes ago -
Use the definition of the fact that f(x) is O(g(x)) to
show that:
1. 7x^2 is...
asked 30 minutes ago -
In view of the fact that so many marriages end in divorce, why
do you think...
asked 46 minutes ago -
You are an entrepreneur starting a biotechnology firm. If your
research is successful, the technology can...
asked 47 minutes ago -
Operating Systems Questions (Please help if you can)
1. A computer has cache, main memory, and...
asked 49 minutes ago -
The reason a moving object slows down is that its force of
motion gradually runs out.
asked 55 minutes ago -
Which of the following mating patterns is likely to result in an
increase of heterozygosity within...
asked 1 hour ago -
C++ program 2D array of intergers
Initialize the 2-D array of integers detailed
below.
{ 25,...
asked 1 hour ago