2. The governing differential equation that relates the deflection y of a beam to the load w ia w...
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...
3) For the steel beam shown in figure, E = 200 GPa, 7 = 100 x 106 mm4, L = 5 m and w = 2 kN/m. Determine (a) the reaction force and reaction moment at A and (b) the deflection at C (30 pts) w/2 K L/2— L/2– Beam and Loading Elastic Curve Maximum Deflection Slope at End Equation of Elastic Curve y=- *- 4Lx' + 613x4) For x }: PL 48ET 48E7(42 - 313) For x<a For a...
Hello, I need your help for this question which is highly related with differancial equation in advanced math and a bit related with civil engineering. My best regards... 1. The differential equation of the elastic curve of an eccentrically loaded column is Here is deflection, E the modulus of elasticity of the column 1 the moment of inertia of the cross-section of the column, P the axial load, and e is the eccentricity. Draw the deflection of the steel column...
Using equation 3 please find the deflection value with the variables given. Be careful with units please. P= 10.07 Newtons L= 953.35 mm x= 868.363 mm E= 72.4 GPa Iy= 5926.62 mm^4 The maximum deflection, WMAX of the cantilever beam occurs at the free end. The magnitude of the deflection may be derived by solving the differential equation: d'w M,(x) P (L-x) eq. 1 dr EI EI where E and Iy are the modulus of elasticity and moment of inertia...
For the beam and loading shown, determine the vertical reaction at the support located at A. The distributed load w = 10kN/m, and the beam W 310 x 52 has a moment of inertia Ix = 119 x 106 mm4 and modulus of elasticity E = 200 GPa ЕВ с 2 m- 4 m
The deflection y, in a simple supported beam with a uniform load q and a tensile load T is given by dx2 El 2EI Where x location along the beam, in meter T-Applied Tension E-Young's Modulus of elasticity of the beam 1= Second moment of inertia of the beam Applied uniform loading (N/m), L- length of the beam in meter Given that T-32 kN, q = 945.7 kN/m, L = 2.0 meter, E = 206 GPa and 1 4.99 x...
Problem 2) Use the method of superposition to determine V, (the deflection of point B) of the pictured 8-m long steel beam. The beam experiences a clockwise moment at point A, MA = 80KN m, and a distributed load, w = 40 kN/m acting upwards along the beam from point B to point C. The elastic modulus of steel is E = 200 GPa and the moment of inertia for this beam is 12 = 150 106 mm*. The specific...
Question 2 For the beam and loading shown, use Macaulay notation to determine t0) (a) the equation of the elastic curve, (b) the deflection at point B, (c) the deflection at point C. BI IIC Use, L=2.5 m E = 200 GPa l 3.6 x 10-5 m Question 2 For the beam and loading shown, use Macaulay notation to determine t0) (a) the equation of the elastic curve, (b) the deflection at point B, (c) the deflection at point C....
PLEASE SOLVE USING MATLAB The basic differential equation of the elastic curve for a cantilever beam as shown is given as 2 da2 where E = the modulus of elasticity and-the moment of inertia. Show how to use MATLAB ODE solvers to find the deflection of the beam. The following parameter values apply (make sure to do the conversion and use in as the Unit of Length in all calculations): E = 30,000 ksi, I = 800 in4, P-1 kips,...
in copyable matlab code The basic differential equation of the elastic curve for a cantilever beam as shown is given as: dx2 where E = the modulus of elasticity and I = the moment of inertia. Show how to use MATLAB ODE solvers to find the deflection of the beam. The following parameter values apply (make sure to do the conversion and use in as the Unit of Length in all calculations): E 30,000 ksi, 1 800 in4, P kips,...