A uniform beam of length L carries a concentrated load wo at x =y(x) =dx4subject to the given boundary conditions y(0)=WOL= Ww₁³(x - 1²/¹),X-22-X²6EIWo 312EILL. The beam is embedded at both ends as shown in the figure below. Use the Laplace transform to solve the differential equation20, y'(0) = 0, y(L) = 0, y'(L) = 0.W.L 3) + ( 17 (x - 212) ²³ ) · 2(x.X). -X6EI(²72L

Answered: Image /qna-images/answer/8a6ae348-523c-4116-a971-ef031416fae6.jpg

A uniform beam of length L carries a concentrated load wo at x = =(x-4). y(x) = Elday dx4 subject to the given boundary conditions y(0) = 0, y'(0) = 0, y(L) = 0, y'(L) = 0. - WOL +²_ )+((x - 2)²³ ) · ²(x - 1/12 6EI W0_3 12EI The beam is embedded at both ends as shown in the figure below. Use the Laplace transform to solve the differential equation Wo X 1)

A uniform beam of length L carries a concentrated load wo at x = =(x-4). y(x) = Elday dx4 subject to the given boundary conditions y(0) = 0, y'(0) = 0, y(L) = 0, y'(L) = 0. - WOL +²_ )+((x - 2)²³ ) · ²(x - 1/12 6EI W0_3 12EI The beam is embedded at both ends as shown in the figure below. Use the Laplace transform to solve the differential equation Wo X 1)

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

A cantilever beam is free of support at point A and is clamped at the point B, as shown in the Figure Q4 below. Calculate the support reaction force and moment for the non-uniformly distributed load, where w =74 N/m and L = 6 m. The downward direction is denoted as positive direction in force and the anti- clockwise direction is defined as positve in moment. For all numerical answers, answer to within 3 decimal places. A v y -L- Figure Q4: A cantilever beam under non-uniformly distributed load
Consider: a beam made of isotropic material, and itscross-section area is A throughout the entire beam.The beam has a Young’s modulus E. The beam isattached to a roller support (the length/size of thissupport is negligible) at x=0.Calculate the total elongation when the beam issubjected to a leftward concentrated force F atx=3L and a rightward force 3F at x=5L.
Please show complete solutions. Considering EI is constant and the value of P is 425kN, calculate the following using Conjugate beam method : A. What is the value of the reaction at point B in the real beam? B. What is the value of the reaction at Point A in the conjugate beam? C. DISPLACEMENT AT C. D. DETERMINE SA SLOPE AT B.
Given: The beam below is welded to the wall at the left end. The beam is of length L. There is a distributed load across the length of the beam. Wo Find a. Identify the boundary conditions you would use to solve for the deflection curve y(x). Note: you do not need to solve for y(x). b. Sketch the deflection you expect the beam to exhibit under this load.
Solve for the displacement and reaction of the given figure. Pls help!
A triangular distributed load of max intensity w = 540 N/m acts on beam AB. The beam is supported by a pin at A and member CD, which is connected by pins at C'and D respectively. Determine the reaction forces at A and C. Enter your answers in Cartesian components. Assume the masses of both beam AB and member CD are negligible. A В -b- Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 7.10 m 12.1 m 4.62 m The reaction at A is A = ĵ N. The reaction at C is C = jN.
A beam is subjected to a bending moment, as shown in the figure below, where point B is assumed to be an internal connection, point C is assumed to be a rolling bearing, and the flexural stiffness of the beam section is a constant EI:(a) Use the Conjugate Beam Method to find the slope of point B after deformation (note that the left and right slopes of point B may be different).(b) Same as above, try to find the vertical displacement of point D.
**DFQ** If you know statics, it helps in understanding. A uniform beam (Constant EI) with Length = L has both ends fixed. Applied loading is a uniformly varying load, zero at the left end, W at the right end. Units of the load are pounds per foot. Your results will be stated in terms of W, L, EI.You will use Laplace Transforms to solve for the beam deflection expression. Other quantities to be determined from the deflections will use derivatives. Your results will be stated in terms of W, L, EI. (Triangular shaped distributed load) A uniform beam (Constant EI) with Length = L has both ends fixed. Applied loading is a uniformly varying load, zero at the left end, W at the right end. Units of the load are pounds per foot. A) Find the expression for deflection at any point, with x measured from the left end.
12. Consider an elastic straight beam of length L = 10t m, with square cross-section of side L = 10n m, with square cross-section of sid. %3D a = 5 mm, and Young's modulus E = 200 a = GPa. This straight beam was bent in such a way that the two ends meet, to form a circle of mean radius R. Assuming that Euler. Bernoulli beam theory is applicable to this bending problem, the maximum tensile bending stress in the bent beam is MPa. R L Ends of the beam
A circular steel rod AB of diameter d1,length L and modulus of rigidity G is loaded as shown is figure. A rigid bar BC of length b is rigidly fixed to AB at B such that BC is perpendicular to AB and lies in the horizontal plane. Find the deflection of point C due to (i) Bending of AB (ii) Torsion of AB (iii) Combined bending and torsion L P B
Determine relation at A and B of the following figure
A simple beam AB is subjected to a distributed load of intensity g(x) = q sin q(x) = go sin I where is the maximum intensity of the load (see figure). Ⓡ Derive the equation of the deflection curve. Use the fourth-order differential equation of the deflection curve (the load equation). (The beam has constant flexural rigidity EI. Also, the origin of coordinates is at the left-hand end of the beam. Enter the magnitude. Use the following as necessary: qo, L, X, E, and I.) v(x) = max= Determine the deflection max at the midpoint of the beam. (Enter the magnitude. Use the following as necessary: 9, L, E, and I.)