The deflection (elastic) curve of a uniform beam subject to a linearly increasing distributed load is

y=(W0/120EIL)(-x^5 + 2L^2x^3 - L^4x)

Use Newton-Raphson and the secant methods to determine the maximum deflection. Use the following parameter values: L = 600 cm; E = 50,000 kN/cm2 ; I = 30,000 cm4 ; and w0 = 2.5 kN/cm.

Aturning operation is performed with following conditions: rake angle of 12°, a feed of 0.35 mm/rev, and a depth of cut of 1.1 mm. the work piece is aluminum alloy 6061 with t6 heat treatment (a16061-t6). the resultant chip thickness was measured to be 1.0 mm. estimate the cutting force, fc. use shear stress of 207 mpa and coefficient of friction on the tool face of 0.6.