8. The deflection of a simply supported beam is given by the BVP: y" - 10-7y = 10-8x(x – L) over 0SXSL with y(0) = y(L) = 0 %3D a. Determine the deflection of the beam using the shooting method (if you want to solve this by hand, use a large step, say h = 10. Otherwise code this and experiment numerically, for example investigate the effects of different step size. You may also add in Matlab "tic...toc" as a timer to calculate the time Matlab takes to solve your equation. You can explore how this time varies with different time steps, for example h 10; h 1; h 0.1) b. Determine the deflection of the beam using the finite difference method (same comments as in a.) %3D

Please answer No. 2 only, thank you!

For the beam and loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the beam, (b) the location of the maximum deflection, and (c) the maximum beam deflection. Assume that EI is constant for the beam. Let w = 12 kN/m, L = 6.0 m, E = 215 GPa, and I = 105 x 106 mm4.

Problem 2 (30 points): The formula for the deflection of the beam shown is: Wo y(x) = (-x5 + 5Lx-10L?x3 + 10L³x²) 120LEI Wo 15 x 107 N L = 2m %3D max m E = 7 × 1011 N m2 I = 6 x 10-4m 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 %3D 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) Xn+1 Step Xn 2.

For the beam and loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the cantilever beam AB, (b) the deflection at the free end, and (c) the slope at the free end. Assume that El is constant for the beam. Let wo = 9 kN/m, L = 5.5 m, E = 220 GPa, and I = 100 x 10° mm“. |B L Part 1 Incorrect Cut a cross-section through the beam at any point and draw a free body diagram to the right of your cut. Determine the internal bending moment M(x). The diagram shows M(x) in its positive direction. Your answer may be negative. Check your equation by solving for M at x = 2.8 m. Wo M(x) |B L-x Answer: M(x = 2.8 m) = i ! kN-m

A) Calculate the stress in each link when a force of 600 lbs is applied to the rigid element AF, employing manual calculations and finite element methods. B) Determine the corresponding deflection at point A, manually applying the finite element penalty method to model and solve the constraints effectively. Available Data: The links BC and DE are made of steel. Each link has dimensions of 1/2 inch in width and 1/4 inch in thickness. Modulus of elasticity (E): 29 x 10^6 psi. Instructions: For this problem, manual calculation is crucial. Utilize the finite element method with the penalty approach to handle boundary conditions and constraints effectively. This method involves incorporating penalty factors into the system equations to enforce the constraints strictly.

solve, show all steps and fbd. do not provide copied answer or I will report    Do problem 12 -22 using double integration. Also find how much additional deflection is added (to the max) if we account for the beam self-weight. Find this additional deflection using the table in appendix C.     mechanics of materials chapter 12 (integration of moment)= theta, and integration of theta = v

Beta = 2 Im in hurry please answer Just one step is enough for me please send me quickly

I keep on getting weird numbers on this problem. How do I solve it? Thank you so much! I have managed to solve a few things: C1=-4.725 kN*m^2 and C2=0 kN*m^3 Ay=4.5 kN and By=9kN

11. A simply supported beam is subjected to point load and uniformly distributed load as shown in Fig.(1). The maximum deflection at point C by using Macaulay Method in term of El of beam is given by; 11. A simply supportedbeam is subjected to pointload anduniformly distributedload as shown in Fig.(1). 40KN 15KN m Fig. (1) A D B 2mm 1m 7m The maximum deflection at point Cby using Macaulay Method in term of EI of beam is given by; a. -1260.61/EI b. -1460.61/EI c. -1660.61/EI d. None of the above