1) Determine the position a of the roller support B in terms of L so that the deflection at end C is the same as the maximum deflection of region AB of the overhang beam. EI is constant. Use the Moment Area method. A a Mo B 2) A propped cantilever beam of length 2L is loaded by a uniformly distributed load with intensity q. The beam is supported at B by a linearly elastic spring with stiffness k. Use the method of superposition to solve for all reactions. Let k = 6EI/L³. 90 -x A B L L

1) Determine the position a of the roller support B in terms of L so that the deflection at end C is the same as the maximum deflection of region AB of the overhang beam. EI is constant. Use the Moment Area method. A a Mo B 2) A propped cantilever beam of length 2L is loaded by a uniformly distributed load with intensity q. The beam is supported at B by a linearly elastic spring with stiffness k. Use the method of superposition to solve for all reactions. Let k = 6EI/L³. 90 -x A B L L

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter9: Deflections Of Beams

Section: Chapter Questions

Problem 9.3.22P: -22 Derive the equations of the deflection curve for a simple beam AB with a distributed load of...

See similar textbooks

Similar questions

-22 Derive the equations of the deflection curve for a simple beam AB with a distributed load of peak intensity q0acting over the left-hand half of the span (see figure). Also, determine the deflection cat the midpoint of the beam. Use the second-order differential equation of the deflection curve.
The simply supported beam carries a uniformly distributed load over parts of its length. Compute (a) the midspan slope and deflection, (b) the slope and deflection at point C. Segment AC’s beam property is worth EI and segment BC’s beam property is worth 2EI. E = 200 GPa, I = 80x106 mm4. Solve problem using the Area Moment Method.
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 slope at A, (c) the slope at B, and (d) the deflection at midspan. Assume that El is constant for the beam. Let Mo = 50KN-m, L= 4.5 m, E= 180 GPa, and I = 115x 106 mm4. Mo B Answer: (b) 0A = i rad (c) Og = i rad (d) vmid = i mm
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 EI is constant for the beam. Let w0 = 6 kN/m, L = 5.5 m, E = 195 GPa, and I = 140 x 106 mm4.
DONT USE AI!!
Learning Goal: To determine the support reactions in a statically indeterminate beam using the moment- area method. Part A - Support reaction force at B The beam shown has length L = 15.0 ft and is loaded with the applied moment M = 210 kip - ft at B. Assume EI is constant. (Figure 1) Using the moment-area method, determine the magnitude of the unknown support reaction at B due to the applied moment. Express your answer to three significant figures and include appropriate units. > View Available Hint(s) ? |By| = |10.5 kip Submit Previous Answers
4
Part A is already answered and correct please solve part B
Sample Problem: Determine the reactions for the beam loaded as shown in the figure 15 KN/m below. 12 KN 6 KN /m 3m Rz R. 1.5 m
PLEASE HELP. Need the answer as soon as possible
1. The figure shows Beam Diagram 3 provided by CISC Handbook of Steel Construction, where W=total applied load in kN. (1) using 4th-order differential equation to obtain the deflection equation y (i.e., Ar) for interval 0
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.