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...
Hello, I need your help for this question which is highly related with differancial equation in a...
2. The governing differential equation that relates the deflection y of a beam to the load w ia where both y and w are are functions of r. In the above equation, E is the modulus of elasticity and I is the moment of inertia of the beam. For the beam and loading shown in the figure, first de m, E = 200 GPa, 1 = 100 × 106 mm4 and uo 100 kN/m and determine the maximum deflection. Note...
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...
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...
A steel pipe column has a length L=4.25 m and has tubular cross section with inside diameter dy=64 mm and outside diameter d2=90 mm. The column is fixed at the base and pinned at the top. The modulus of elasticity of steel is E=210 GPa. The theoretical Euler buckling load of the column is most nearly: dy dz A. 720 KN B. 560 kN C. 303 kN D. 690 KN The steel post has a length L=4 m and carries...
A2 m long column made of structural steel with elastic modulus of 200 GPa is loaded in axial compression. If the cross section of the column is a 20 mm by 50 mm rectangle, and one end is fixed and the other end is pinned, the maximum axial load that the column can bear before buckling, in kN, is (round to the nearest whole number)
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,...
will rate!!
show good work plz!
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 I,...
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...
A Semi-infinite beam is loaded by force P at distance a from its
end, as shown in figure. (a) Obtain formulas for deflection, slope,
moment, and shear force, Using the results from part (a), consider
a 2-m-long steel bar (E = 210 GPa) of 75mm´75mm square cross
section that rests with a side on a rubber foundation with a
modulus of k = 24 MPa. If a concentrated load P = 100 kN is applied
at the distance of a...
The concrete [E = 29 GPa] pier shown in the figure is
reinforced by four steel [E = 200 GPa] reinforcing rods,
each having a diameter of 19 mm. Assume P = 680 kN,
L = 2.10 m, and a = 275 mm. If the pier is
subjected to an axial load of 680 kN, determine
(a) the normal stress (positive if tensile and negative if
compressive) in the concrete and in the steel reinforcing
rods.
(b) the deflection of...