COMPUTATIONAL CONSIDERATIONS A allow b B c C d dhole drod D e E fom f(x) F FI Fs Range number Spring wire strength constant, cross-sectional area, Jacobian matrix Diametral allowance Range number Bushing diameter Distance to outer fiber, radial clearance Spring index Did Wire diameter Hole diameter Rod diameter Helix diameter, journal diameter Eccentricity Young's modulus Figure of merit Function Spring force, cumulative distribution function, function Spring working load Spring load at closure (soliding). | CHAPTER 5 COMPUTATIONAL CONSIDERATIONS Charles R. Mischke . . Professor Emeritus of Mechanical Engineering Iowa State University Ames Iowa INTRODUCTION AN ALGORITHMIC APPROACH TO DESIGN I ANALYSIS TASKS I MATHEMATICAL TASKS STATISTICAL TASKS OPTIMIZATION TASKS SIMULATION I REFERENCES NOMENCLATURE a A allow b B Range number Spring wire strength constant cross-sectional area Jacobian matrix Diametral allowance Range number Bushing diameter c C d hole drod D Distance to outer fiber radial clearance Spring index Did Wire diameter Hole diameter Rod diameter Helix diameter journal diameter e E fom f x F F Fs Eccentricity Young s modulus Figure of merit Function Spring force cumulative distribution function function Spring working load Spring load at closure soliding STANDARD HANDBOOK OF MACHINE DESIGN G Shear modulus h Ordinate spacing in Simpson s rule i Subscript k Spring rate successive substitution convergence parameter Length o Free length j Solid length L Length Lo Free length Ls Solid length m Spring wire strength parameter n Number factor of safety ns Factor of safety at soliding N Normal or gaussian distributed N Number of turns Na Number of active turns N Total number of turns OD Outside diameter of spring coil p Probability P Load probability Q Spring dead coil correction Q Spring dead coil correction for solid height r Residual radius R Richardson s correction to Simpson s first rule estimate Sut Engineering ultimate tensile strength Ssu Engineering ultimate shear strength Sy Engineering percent yield strength in tension Sv Engineering percent yield strength in shear u Uniform random number U Uniform distributed W Weibull distributed x Variable y Variable end contraction of a spring z deviation in 7V 0 1 y Weight density T Factor of safety 0 Weibull characteristic parameter angle i Population mean E Fractional overrun to closure ys yi yi p Link length COMPUTATIONAL .
