The deflection along a discontinuous cantilever beam of length 4 units is governed y (0)-y' (0) 0...
1. The deflection along a discontinuous cantilever beam of length 4 units is governed by a boundary value problem y (0)y(0)0 dr2 y' (4)-r (4) = 0 (a) Show that =1- H(x-2) if 0<x<4 1+2 H (x - 2) dễ (b) Evaluate Hint: )Ha))H-a) (c) Evaluate the deflection y (x) HintIf F () is an antiderivative of f (x) then f (x) H(x - a) dr-F(x) F(a) H(x -a)+C.
1. The deflection along a discontinuous cantilever beam of length 4...
need help for this question in full answer
2. The deflection along a uniform beam with fexual Yigidity BI- and applied load f (x) = cos (-) satisfies the equation (a) Evaluate the deflection y (x). Hint: /cos(az)dz-asin (as)+C, /sin(as)dz=-a cos(az) +C (b) Find the influence function (Green's function) G (z,f), where 0 < ξ < 2, for this problem. Hint: Since 0 < ξ < 2, H(0-E)=0, H(2-E)=1. (c) Hence write the deflection of this beam as a definite...
Problem 1 A cantilever beam of length L is clamped at its left end (x = 0) and is free at its right end (x = L). Along with the fourth-order differential equation EIy(4) = w(x), it satisfies the given boundary conditions y(0) = y′(0) = 0,y′′(L) = y′′′(L) = 0. a) If the load w(x) = w0 a constant, is distributed uniformly, determine the deflection y(x). b) Graph the deflection curve when w0 = 24EI and L = 1....
1. A uniform horizontal beam OA, of length a and weight w per unit length, is clamped horizontally at O and freely supported at A. The transverse displacement y of the beam is governed by the differential equation d2y El dx2 w(a x)- R(a - x) where x is the distance along the beam measured from O, R is the reaction at A, and E and I are physical constants. At O the boundary conditions are dy (0) = 0....
3. A cantilever beam of length L is embedded at its right end, and a horizontal compressive force of P pounds is applied at the free left end of the beam. When the origin is taken as its free end, the deflection of the beam can be shown to satisfy the differential equation Ely" = -Py – w(x)} Find the deflection of the cantilever beam if w(x) = Wox, 0 < x < L, and y(0) = 0, y'(L) =...
SOLVE USING MATLAB PLEASE THANKS!
The governing differential equation for the deflection of a cantilever beam subjected to a point load at its free end (Fig. 1) is given by: 2 dx2 where E is elastic modulus, Izz is beam moment of inertia, y 1s beam deflection, P is the point load, and x is the distance along the beam measured from the free end. The boundary conditions are the deflection y(L) is zero and the slope (dy/dx) at x-L...
Consider a cantilever beam under a concentrated force and moment as shown below. The deflections ofthe beam under the force F (y) and moment M (y) are given by: 2. y' Mo L-x) , and y2 Me , where EI is the beam's flexural rigidity. The slope of the beam, 0, is the derivative of the deflection. Write a program that asks the user to input beam's length L, flexural rigidity EI (you may consider this as a single parameter,...
A uniform horizontal beam OA, of length a and
weight w per unit length, is clamped horizontally
at O and freely supported at A. The transverse
displacement y of the beam is governed by the
differential equation
where x is the distance along the beam measured
from O, R is the reaction at A, and E and I are
physical constants. At O the boundary conditions
are y(0) = 0 and . Solve the
differential equation. What is the boundary...
For the cantilever beam shown in figure below, we have derived the deflection curve during the lecture as: r(z)-하-둬뿌 부] 48 Consider the magnitude of the distributed load q 1 N/m, length of the beam L 1 m, Young's modulus E-200 GPa and the 2nd moment of area about the bending axis is 1 = 250 cm". What is the reaction bending moment at the left end in N.m? Ya 2
Mohammed Abdurahman Active Now The defection slong s uniform beam with fecual rigdity B-andapplied lond f(x)ossatisfis the equation (a) Evaluate the deflection y (a). (b) Find the influence function (Green's function) G(z,0, where 0 < ξ < 2 for this problem. Hint: Since 0 < ξ < 2, H(0-E)=0, H(2-E)-1. (e) Henoe write the deflection of this beam as a definite integral. Do not attempt tp evaluate the integral. ((7+2+2)+(6+6+2)-25 marks) Repl Crop Share Scroll Draw capture
Mohammed Abdurahman Active...