Q4/ Find the solution of following Differential Equation where the solution r the deflection equation of cantilever beam shown in Figure.( EI is a beam pr then compute the deflection at point (B) Y. EI dy x² dx WL W. L² + .x + 2 W N/m W14 Ans./ Deflection@B 8 CC 11 A L

Q4/ Find the solution of following Differential Equation where the solution r the deflection equation of cantilever beam shown in Figure.( EI is a beam pr then compute the deflection at point (B) Y. EI dy x² dx WL W. L² + .x + 2 W N/m W14 Ans./ Deflection@B 8 CC 11 A L

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

1. By the moment-are a m ethod fin d the slope and defle c tio n at the free end A of the cantile ver be am AB. E = 30,000k/in and I = 200 in. Refer to the figure belo w. A II decim a ls m ust be included, do not round o ff answers. A l fig ures must be included and drawn s tra ight. Curves may be done freehand. Summarize your answers as shown belo w. Answer Required Va lu e s A A 1. 270 k/ft L, 7ft L, 8ft B.
Use AREA MOMENT METHOD to Determine the following: A central beam BD is joined at hinges to two cantilever beams AB and DE. All beams have the cross-section shown. For the loading shown, determine the largest w so that the deflection at C does not exceed 3mm. Use E=200 GPa. w 12 mm A C D E Hinge' Hinge 24 mm 0.4 m 0.4 m 0.4 m 0.4 m
Deflection of Beams Use Virtual work Method Given: X - 274 у-74 а-8 b - 4 с- 9 Problem #1 #1 Determine the vertical displacement of joint A. Each bar is made of steel and has a cross-sectional area of 600 mm². Take E = 200 GPa. -1.5 m- -1.5 m- P = X a = A
A two-span, continuous wood girder (E = 2,000 ksi) supports a roof patio structure (part (a) of the figure). A uniform load of intensity q acts on the girder, and each span is of length 8 ft. The girder is made up using two 2 x 8 wood members (part (b) of the figure). a q= 17.0 lb/ft -8 ft (a) B 8 ft 41 8 in. 2 in. 2 in. Section a-a (b) 000 8 in. Ignore the weight of the beam. Use the nominal dimensions of the beam in your calculations. (Solve by the method of superposition. The beam has constant flexural rigidity EI, unless otherwise stated.) (a) Find the reactions at A, B, and C. (Enter your answers in lb. Round your answer for Rg to at least one decimal place. Use the statics sign convention.) lb RA RB = lb RC lb
Determine the maximum deflection of the cantilevered beam. The beam is made of material having an E 200 GPa and I W 65.0*10 mm4. 30LN/
For the beam and loading shown, use discontinuity functions to compute (a) the slope of the beam at B and (b) the deflection of the beam at C. Assume a constant value of El = 27 x 106 lb-ft² for the beam; w₁ = 6200 lb/ft, LAB = 7.0 ft, Lgc = 15 ft. Lcd = 8 ft. Wo X LBC LCD LAB Answer: (a) 0g = (b) vc= B rad in. D
Conjugate Beam Method The compound beam is subjected to the loadings as shown in the figure below. Use E-200x10 kPa and 1-125x10 m Determine the following: a. The deflection at the pin-connection at B b. The slope at point C c. The slope at the roller support at D, and d. Draw the elastic curve of the beam.
Problem Set 1: The stepped beam of length 4a carries a distributed load of intensity Wo over its middle half. The moments of inertia are 1.5l, for the middle half and Io for the rest of the beam. Find the displacement of the beam at its midspan. (Hint: Utilize symmetry and analyze the right half of the beam only). Use Double Integration A Wo mim 2a B. a D
A simply supported beam (E = 12 GPa) carries a uniformly distributed load q = 120 N/m, and a point load P = 126 N at mid-span. A |C L/2- -L/2 - The beam has a rectangular cross section (b = 75 mm, h = 200 mm) and a length of 3.6 m. Calculate the maximum deflection (in mm) of the beam. (Enter the magnitude. Solve the problem by the method of superposition. All beams have constant flexural rigidity EI.) mm
Consider the following free-body digram of a beam. 200 N 100 N 200 N M. 100 N-m 200 N 100 N 2m 3m 3m 2m What is A,? O a. -100 N O b.-100 N.m O. 200 N d. No correct answer given
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 El is constant for the beam. Let w-13 kN/m, L-4.5 m, E-180 GPa, and I 115 x 10 mm4. Wo B. L. Answer: (b) x= mm (c) Vmax
The beam has a modulus of elasticity E and moment of inertia I. a.) Compute the maximum deflection using Area-Moment Method. b.) Use Conjugate Beam Method to compute the same maximum deflection. Express your answers in terms of the variables wo, L, and E, and I. Wo L -2 W.L2 Ix