Problem 2 (30 points): The formula for the deflection of the beam shown is: y(x) = Wo (-x5 + 5Lx*- 10L²X3 + 10L3x2) 120LEI Wo = 15 x 107 N L = 2m Omax %3D %3D т N E = 7 x 1011. m2 1 = 6 x 10-4m %3D %3D Use the Newton-Raphson Method to determine the x location along the beam where the deflection is y(x) = 0.14 m. Use a starting guess of xo = 1.2 m. Be sure to show your calculation for the derivative of the function and your calculations you use to fill out the table. You only need to perform two iterations of the method, which means you should fill out the table below. Notice that y is defined as positive in the downward direction, which means that both the function and the target deflection are positive values in the coordinate system. y(xn) y'(xn) Хn+1 Step Xn 2

Problem 2 (30 points): The formula for the deflection of the beam shown is: y(x) = Wo (-x5 + 5Lx*- 10L²X3 + 10L3x2) 120LEI Wo = 15 x 107 N L = 2m Omax %3D %3D т N E = 7 x 1011. m2 1 = 6 x 10-4m %3D %3D Use the Newton-Raphson Method to determine the x location along the beam where the deflection is y(x) = 0.14 m. Use a starting guess of xo = 1.2 m. Be sure to show your calculation for the derivative of the function and your calculations you use to fill out the table. You only need to perform two iterations of the method, which means you should fill out the table below. Notice that y is defined as positive in the downward direction, which means that both the function and the target deflection are positive values in the coordinate system. y(xn) y'(xn) Хn+1 Step Xn 2

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

A Cantilever beam deflects downwards when a mass is attached to its free end. The deflection (8) is the function of beam stiffness(K), applied mass(M) and gravitational force(g=9.81 m/s2): K8=Mg Determine the stiffness of beam? The various mass are placed on the end of the beam and corresponding deflections are noted as follow: 150.05 200.05 Mass Deflection 0 0 50.15 99.90 0.6 1.8 3.0 3.6 using the "Correlation Coefficient" equation, check whether the 'line-fitting' has; (i) strong positive linear relationship (ii) strong negative linear relationship (iii) no linear relationship 250.20 299.95 350.05 401.00 4.8 6.0 6.2 7.5
Please do not round off in all computations and box all final answers Conduct the following using either Double Integration Method, Moment Area Method, or Conjugate Beam Method Let El be constant. Given that from Point A, x = 8.12 m. What is the value of El(y)? Given that from Point A, x = 5.59 m. What is the value of El (y')? Given that from Point A, x = 4.92 m. What is the value of El(y)? Given that from Point A, x = 9.37 m. What is the value of El (y')? 61 KN 2.35 m 37 KN/m 30 KN/m 2.45 m A B 4.70 m 5.58 m
D 40.0 cg 30.0⁰ H 2.0 m draw the free body diagram. draw the vector starting at the black dogs. The location and orientation matter. A uniform, 3.0 m, 1250 kg beam is hinged to a wall and supported by a thin cable attached 2.0 m from the free end of the beam (Figure 1). The beam is supported at an angle of 30.0° above the horizontal.
Needs Complete typed solution with 100 % accuracy. Handwritten solution is completely prohibited.
In the position shown in figure shown, the block of mass 100 kg just contacts the free end of the spring with constant k-6000N/m (a) If the block is released instantaneously with zero initial velocity, find the m lection of the spring (b) Find the max deflection, if the block is very gradually lowered onto spring. 100kg Free end ANS: a.)|| m b.) m (two decimal places)
Suppose a aluminum rod of 20 ft and solid square cross section of 0.5 inches, isfixed at a wall on the left end. On the right end it is unsupported. The rod will bendbased on it’s own weight given that it has uniform density.a.) Find the Youngs modulus, Moment of Inertia, and Weight per unit necessary tosolve this problem. Then put them together to find the coefficient on the x4term.b.) Solve for coefficients c1 through c4 and report the equation governing the shapethis rod will take.c.) How far down from level does the end of the aluminum rod hang in inches?
y 1/4 F₁ X1 (У1 Y₂ Y₁ 1/4 F2 X2 1 Matrix and Determinants Displacement y = y(x) 9 11 :) = *- ( ²17 1/4 3 7 11 1/4 Y₂ Уз F3 X3 1 7 K 11 16 11 F₂ F Due to three forces F₁, F2 and F3 applied perpendicular a beam is displaced, as indicated in 1/4 the figure. The relationship between the applied forces and the displacements can be expressed as X with K = = [³ 768 E I For the three forces applied, F₁ = 2000 N, F₂ = 4000 N and F3 = 3000 N, determine the displacements y₁, Y2 and y3. Assume a beam length | = 1 m, and the product E-I = 5.10¹0 N/mm². Use for your calculations two decimal places and state your result as a vector including units.
need help engineering of materials
Please help. This problem involves moment of inertia on a cross-section. Thank you.