Rod Spring

Rod Spring featured image

S-shape stiffness $C_x=C_y=frac{12EI}{L^3}=frac{3pi E d^4}{16L^3}$$C_z=frac{EA}{L}$ only if $u_x=0$$C_z=frac{1}{frac{L}{EA}+frac{u_x^2L}{700EI}}$ for $u_xneq0$ $K_x=K_y=frac{EI}{L}=frac{pi E d^4}{64L}$$K_z=frac{G{pi d}^4}{32L}=frac{E{pi d}^4}{64left(1+nuright)L}$ S-shape motion characteristics $u_x=frac{F_x}{C_x}$$u_{xmax}=frac{1}{3}frac{L^2}{Ed}sigma_{max}$$u_z=frac{3}{5}frac{u_x^2}{L}$ S-shape force limits $sigma_{max}=frac{M_{max}}{I}frac{1}{2}d=frac{frac{F_xL}{2}}{I}frac{1}{2}d=frac{F_xLd}{4I}$ dynamic movements: $sigma_{max}<$ fatigue stress limitstatic deformation: $sigma_{max}<$ yield stress limit $(sigma_{0.2})$ See Beam Theory: Buckling for equations to calculate the maximum buckling load. Rod spring in s-shape deformation: $I=frac{pi d^4}{64}$ C-shape […]

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