Question

Using equation 3 please find the deflection value with the variables given. Be careful with units please.

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 and M(x) is the moment equation, a function of x. Solution to the DE is accomplished by two successive integrations in x. The first integration yields the slope of the elastic curve, dw P. (I x-x2) +01 eq. 2 dx El The constant of integration is determined by applying the boundary condition, namely, the slope is zero at x=0. The second integration yields the deflection curve w(x). The constant of the second integration is determined by applying the boundary condition that the deflection is zero at x0. The elastic deflection of the beam is: P. (1.2/-/ W(x) = SEI, eq. 3

P= 10.07 Newtons

L= 953.35 mm

x= 868.363 mm

E= 72.4 GPa

Iy= 5926.62 mm^4

Answer 1

WCx) E= 72-46Pa - 72.4x1 mPa MPa= INmm2- - 72-4x1 Nm 2 368.363mm) 953 .35mm(868.363 mm)_ WG 10.07N 72.4X18N 5926.62 mm X mm2 5.875mm WCx) - P Newhnj Lmm E Nmm2 y mm mmmm mm 2 mm