I. Solve the following problem, complete with free body diagrams, clear solutions, and complete final answers. Given the following distributed loading wo = 50 N/m for a cantilever beam AB, determine the equation of the elastic curve using Double Integration Method or Area Method. Find the deflection at x = 3 m. (Flexural rigidity El = 20833 N m2) 50 N/m A 6 т

I. Solve the following problem, complete with free body diagrams, clear solutions, and complete final answers. Given the following distributed loading wo = 50 N/m for a cantilever beam AB, determine the equation of the elastic curve using Double Integration Method or Area Method. Find the deflection at x = 3 m. (Flexural rigidity El = 20833 N m2) 50 N/m A 6 т

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

Using the Double Integration Method. for the given cross- section of the beam below, find the ff. when E=100 GPa. a. Rotation in degrees and Deflection at 4-m from free-end. b. Maximum Deflection. 9 kN/m 25 kN.m. 1m 2m 3m 150 50 50 250 50
Find the slope and deflection equations for the beam shown. Determine thevertical deflection of point C. Consider P = 120 kN, l = 5m, a = 80 cm. EI = constant. Method of Double Integration
ONLY SOLVE PART B Find the deflection y(x) differential equations where: a)The beam is embedded at x = L and a free end at x = 0. The applied load is w = w0*(1+Sin(πx/L)), wo is the maximum intensity of the load. B)Repeat part (a) for both embedded ends boundary conditions.
The cantilever beam consists of a rectangular structural steel tube shape [E = 28000 ksi; I = 530 in.4]. Use double integration to determine:(a) the beam deflection vB at point B. [ Answer: vB = -.424 in](b) the beam deflection vC at point C. [ Answer: vC = -.894 in]Assume P = 12.9 kips, w = 2.7 kips/ft, LAB = 7.0 ft, LBC = 4.3 ft.
Problem 3 For the beam shown in the figure, a) Derive the equation of the elastic curve. b) Compute the rotation at point B. c) Calculate the deflection at point C. Y 2.7 kN.m Y 300 N/m B 3m 3m 3m 3m
The cantilever beam is a 300mm long carbono steel bar, with a diameter of 25mm. And it is charged by a force F=450 N. a) Find the maximum defletion using the virtual forces method, including that resulting from shear. b) What error will be introduced if the shear is disregarded? Ymax + T F X
The 10 m long simply supported beam in Fig. Q3 is loaded as shown at a point 6m from left end. e (1) (ii) (iii) RA 10%N 10 kNm": Fig. Q3 Calculate the support reactions R₁ and RB. Macaulay's method is to be used to find slopes and deflections along the beam. Write a general expression for the bending moment to enable the solution. Calculate the vertical deflection at the load application point. The flexural rigidity of the beam, EI, is 100 MNm².
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 maximum deflection, and (c) the slope at A. Assume that El is constant for the beam. Let w = 12 kN/m, L = 3.5 m, E= 210 GPa, and I = 110 x 10° mmt. L. Answer: (b) vmax i mm (c) OA = i rad eTextbook and Media
For the cantilever steel beam [E = 220 GPa; /= 120 × 106 mm4], use the double-integration method to determine the deflection VÀ at A. Assume L = 2.9 m, P = 40 kN, and w = 27 kN/m. Answer: VA = i L mm. B
A cantilever beam has a length L =12 ft and a rectangular cross section (b= 16 in., h=24 in.), A linearly varying distributed load with peak intensity qoacts on the beam, (a) Find peak intensity q,if the deflection at joint Bis known to be 0.18 in. Assume that modulus E= 30,000 ksi. (b) Find the location and magnitude of the maximum rotation of the beam. TITT В h PROBLEM 9.3-15
=5 For the beam shown below ﬁ E The moment of inertia = / and the elastic modulus = Find the reaction at C using Flexibility method. Find the reactions at A. No calculation is Do the internal forces change if support C settles? needed, just answer yes or no and explain why ina few words (at most one line). P =36 kips A B g —
and y vs. y (phase plot) 4. Consider the deflection v of the beam to the right. The beam is supported at each end and sags due to its own weight (a distributed load q = 50 kN/m). The equation describing the deflection is d'u qx (x- L) dx 2EI where L=5.0 m, I = 0.0052 m* and E = 1.0x1010 Pa. Use the method of your choosing (shooting or finite differences) to solve for: 1) the slope at each end of the beam; 2) the maximum deflection; and 3) the location of maximum deflection.