Formula Symbols - S

Written by Jerry Ratzlaff on . Posted in Nomenclature & Symbols for Engineering, Mathematics, and Science

Mathematics Symbols

Mathematics Terms

Formula Symbols - S

For other symbols see:  A - B - C - D - E - F - G - H - I - J - K - L - M - N - O - P - Q - R - S - T - U - V - W - X - Y - Z

SymbolGreek SymbolDefinitionUSMetricValue
\(S_0/R\) - Sackur-Tetrode constant dimensionless constant dimensionless constant \(-1.164\;8708\)
\(S\) - sag \(in\) \(mm\) -
\(e_s\) - saturated vapor pressure \(lb\;/\;in^2 \;or\; psi\) \(Pa\)  -
\(\vartheta\), \(\;\theta\) vartheta, theta scattering angle - -  -
\(Sc\) - Schmidt number dimensionless dimensionless  -
\(SEER\) - seasonable energy efficiency ratio \(kW-hr\;/\;Btu\) -  -
\(I\) - second moment of area \(in^4\) \(mm^4\)  -
\(c_2\) - second radiation constant constant constant \(1.438\;776\;877...\;x\;10^{-2}\;m\;K\)
\(S\) - section modulus

\(in^3\)

\(mm^3\)  -
 \(S_{required}\)  - section modulus required not to exceed allowable bending stress \(in^3\)  \(mm^3\)   -
 \(S_x\)  - section modulus with the respect to the x-centroidal axis \(in^3\)  \(mm^3\)   -
\(S_y\)  - section modulus with the respect to the y-centroidal axis \(in^3\)  \(mm^3\)   -
\(v_s\) - seepage velocity - -  -
\(L\) - self-inductance - -  -
\(\delta\) delta semivertex angle \(\deg\) \(\deg\)  -
\(B\) - separation distance \(ft\) \(m\)  -
\(SF\) - service factor - -  -
\(SC\) - shading coefficient - -  -
\(F_s\) - shading factor - -  -
\(d\) - shaft deflection \(in\) \(mm\)  -
\(k\) - shape factor dimensionless dimensionless  -
\(J\) - shear compliance - -  -
\(q\) - shear flow \(lbf\;/\;in\;or\; kips\;/\;ft\) \(N\;/\;m\;or\; kN\;/\;m\)  -
\(J"\) - shear loss compliance - -  -
\(G"\) - shear loss modulus \(Pa\) \(Pa\)  -
\(G\), \(\;\mu\) mu shear modulus \(Pa\) \(Pa\)  -
\(\dot {\gamma}\) gamma shear rate - -  -
\(J'\) - shear storage compliance - -  -
\(G'\) - sheat storage modulus - -  -
\(\delta_s\) delta shear deformation \(in\) \(mm\)  -
\(V\) - shear force \(lb \;,\; kip\) \(N \;,\; kN\)  -
\(G\) - shear modulus \(Pa\) \(Pa\)  -
\(\gamma\) gamma shear rate \(1/s \;,\; rad/s\) \(1/s \;,\; rad/s\)  -
\(\gamma\) gamma shear strain \(rad\) \(rad\)  -
\(\tau\) tau shear stress \(lb\;/\;in^2 \;or\; psi\) \(kg \;/\; cm^2\)  -
\(\tau_{butt}\) tau sheat stress of weld \(lb\;/\;in^2 \;or\; psi\) \(kg \;/\; cm^2\) -
\(\tau_{\theta}\) tau shear stress in any oblique plane \(lbf\;/\;ft^2\) \(Pa\)  -
\(\sigma\) sigma sheat tension - -  -
\(Sh\) - Sherwood number dimensionless dimensionless  -
\(\theta\), \(\;\tau_*\) - Shields parameter dimensionless dimensionless  -
\(\theta\) theta shock semivertex angle \(\deg\) \(\deg\)  -
\(\sigma\) sigma short range order parameter - -  -
\(s\) - side length \(ft\) \(m\)  -
\(\mu\) mu simple viscosity \(lbf-sec\;/\;ft^2\) \(Pa\cdot s\)  -
\(C_f\) - skin friction coefficient dimensionless dimensionless  -
\(G\) - slipping - -  -
\(m\) - slope \(ft\) \(m\)  -
\(\phi\) phi slope of the deflection of a beam at a point degrees radians  -
\(\eta_s\) eta slurry viscosity - -  -
\(SCL\) - solar cooling load factor \(Btu\;/\;hr-ft^2\) \(W\;/\;m^2\)  -
\(\Omega\), \(\;\omega\) Omega, omega solid angle \(deg\) \(rad\)  -
\(S\) - Sommerfield number dimensionless dimensionless  -
\(a\) - sound \(ft\;/\;sec\) \(m\;/\;s\)  -
\(W\) - sound energy flux - -  -
\(L_w\) - sound power level - -  -
\(u\) - sound particle velocity - -  -
\(L_p\) - sound pressure level - -  -
\(L\) - span length under consideration \(in \;,\; ft\) \(mm \;,\; m\)  -
\(U\) - specific cutting energy \(lbf-ft \;/\; ft^3\) \(J \;/\; m^3\)  -
\(h\) - specific enthalpy \(Btu\;/\;lbm\) \(kJ\;/\;kg\)  -
\(C_d\) - specific flow coefficient - -  -
\(R\) - specific gas constant constant constant  \(8.3145\;J\;mol^{-1}\;K^{-1}\)
\(SG\) - specific gravity dimensionless dimensionless  -
\(SG\), \(\;SG_g\) - specific gravity of gas dimensionless dimensionless  -
\(SG\), \(\;SG_l\) - specific gravity of liquid dimensionless dimensionless  -
\(c\) - specific heat \(Btu\;/\;lb- ^\circ F\) \(kJ\;/\;kg-K\)  -
\(Q\), \(\;c_p\) - specific heat capacity \(Btu\;/\;lb- ^\circ F\) \(kJ\;/\;kg-K\)  -
\(C_p\) - specific heat constant pressure \(ft-lbf\;/\;lb-^\circ F\) \(J\;/\;kg-K\)  -
\(C_v\) - specific heat constant volume \(ft-lbf\;/\;lb-^\circ F\) \(J\;/\;kg-K\)  -
\(c_a\) - specific heat of air \(Btu\;/\;lb- ^\circ F\) \(J\;/\;kg-K\)  -
\(c_l\) - specific heat of liquid \(Btu\;/\;lb- ^\circ F\) \(J\;/\;kg-K\)  -
\(\gamma\), \(\;\kappa\), \(\;k\) gamma, kappa specific heat ratio dimensionless dimensionless  -
\(F_k\) - specific heat ratio factor - -  -
\(I_{sp}\) - specific impulse \(sec\) \(s\)  -
\(u\) - specific internal energy \(Btu\;/\;lbm\) \(kJ\;/\;kg\)  -
\(R_{\lambda}\) lambda specific thermal resistance \(hr-^\circ F\;/\;Btu\) \(K\;/\;W\) -
\(\eta_{sp}\) eta specific viscosity - -  -
\(v\), \(\;\upsilon\) upsilon specific volume \(ft^3\;/\;lbm\) \(m^3\;/\;kg\)  -
\(\gamma \) gamma specific weight \(lbf\;/\;ft^3\) \(N\;/\;m^3\)  -
\(\gamma_a \) gamma specific weight of air \(lbf\;/\;ft^3\) \(N\;/\;m^3\)  -
\(w_\lambda\) - spectral concentration of radiant energy density - -  -
\(I_v\) - spectral concentration of radiant intensity - -  -
\(K\) - spectral luminous efficacy - -  -
\(V\) - spectral luminous efficiency - -  -
\(u\), \(\;v\) - speed \(ft\;/\;sec\) \(m\;/\;s\)  -
\(s\) - speed (rpm) - -  -
\(c\) - speed of light in vacuum constant constant \(299\;792\;458\;x\;m\;/\;s\)
\(c\) - speed of light wave velocity constant constant \(299\;792\;458\;x\;m\;/\;s\)
\(a\) - speed of sound \(ft\;/\;sec\) \(m\;/\;s\)  -
\(S\), \(\;s_i\) - spin - -  -
\(L_c\) - spring coil wire length \(in\) \(mm\) -
\(k\), \(\;k_s\) - spring constant \(lbf \;/\; ft\) \(N \;/\; m\)  -
\(d_s\) - spring displacement \(in\) \(mm\)  -
\(d_s\)   spring deflection \(in\) \(mm\) -
\(E\), \(\;E_s\) - spring energy \(ft-lbf\) \(J\)  -
\(F_s\) - spring force \(lbf\) N  -
\(k_s\) - spring force constant constant constant  -
\(l_f\) - spring free length \(in\) \(mm\) -
\(C\) - spring index dimensionless dimensionless  -
\(D_i\) - spring inside diameter \(in\) \(mm\) -
\(l_i\) - spring installed length \(in\) \(mm\) -
\(P\) - spring load \(lb\) \(kg\) -
\(n\), \(\; n_a\)  - spring number of active coils - - -
\(l_o\) - spring operating length \(in\) \(mm\)  -
\(D_o\) - spring outside diameter \(in\) \(mm\) -
\(p\) - spring pitch \(in\) \(mm\) -
\(PE_s\) - spring potential energy \(lbf \;/\; ft\) \(J\)  -
\(n_s\) - spring rate \(in\) \(mm\) -
\(n_t\) - spring total number of coils - - -
\(L_t\) - spring total wire length \(in\) \(mm\) -
\(G\) - spring shear modulus of material \(Pa\) \(Pa\) -
\(\tau\) tau spring shear stress \(lb\;/\;in^2 \;or\; psi\) \(kg \;/\; cm^2\) -
\(l_s\) - spring solid length or shut length \(in\) \(mm\)  -
\(C_s\) - spring space between coils \(in\) \(mm\)  -
\(d\) - spring wire diameter \(in\) \(mm\) -
\(S\), \(\;\sigma\) - spring wire stress \(lb\;/\;in^2 \;or\; psi\) \(Pa\) -
\(p_s\) - stagnation pressure \(lb\;/\;in^2 \;or\; psi\) \(Pa\)  -
\(R*\) - standard atmosphere constant constant  \(101\;325\;Pa\)
\(g\) - standard gravity acceleration constant constant  \(9.806\;65\;m\;s^{-2}\)
\(St\) - Stanton number dimensionless dimensionless  -
\(h_{sd}\) - static discharge head \(ft\) \(m\)  -
\(SE\) - static efficiency - -  -
\(f_s\) - static friction \(lbf\) \(N\)  -
\(\mu_s\) mu static friction coefficient dimensionless dimensionless  -
\(h_s\) - static head \(ft\) \(m\)  -
\(SP\) - static pressure \(in\;wg\) \(Pa\)  -
\(h_{ss}\) - static suction head \(ft\) \(m\)  -
\(\rho_s\) rho steam density \(lb \;/\; ft^3\) \(kg \;/\; m^3\)  -
\(Q_s\) - steam flow rate \(ft^3 \;/\; sec\) \(m^3 \;/\; s\)  -
\(\Psi \) Psi steam function - -  -
\(L\), \(\;L_s\) - steam latent heat \(Btu \;/\; lbm\) \(J \;/\; kg\)  -
\(\Phi \) Phi steam potential - -  -
\(v_s\) - steam velocity \(ft\;/\;sec\) \(m\;/\;s\)  -
\(Ste\) - Stefan number dimensionless dimensionless  -
\(\sigma\) sigma Stefan-Boltzmann constant constant constant  \(5.670\;374\;419...\;x\;10^{-8}\;W\;m^{-2}\;K^{-4}\)
- - Stefan-Boltzmann law - - -
\(k\) - stiffness \(lbf\;/\;ft\) \(N\;/\;m\)  -
\(St\) - Stokes' law - -  -
\(Stk\), \(\;S_k\) - Stokes number dimensionless dimensionless  -
\(\epsilon \) epsilon strain \(lb\;/\;in^2 \;or\; psi\) \(Pa\)  -
\(\epsilon_o\) epsilon strain amplitude - -  -
\(U\) - strain energy \(lbf-in\;/\;in^3\) \(J\;/\;m^3\)  -
\(S\) - strength \(lbf\;/\;in^2\) \(Pa\)  -
\(K\) - strength coefficient \(lbf\;/\;in^2\) \(MPa\)  -
\(k\) - strength derating factor - -  -
\(S\), \(\;\sigma\) sigma stress \(lb\;/\;in^2 \;or\; psi\) \(Pa\)  -
\(L\) - stroke \(in\) \(mm\)  -
\(L\) - stroke length \(in\) \(mm\)  -
\(S\) - strength \(lbf\;/\;in^2\) \(Pa\)  -
\(Sr\) - Strouhal number dimensionless dimensionless  -
\(N\) - Stuart number dimensionless dimensionless  -
\(SA\) - suction specific speed available \(rpm\) \(rpm\)  -
\(\Sigma\) Sigma summation - -  -
\(S\)   Summerfeld number - -  -
    sun age constant constant \(1.4420\;x\;10^{17}\;s\)
    sun escape velocity constant constant \(6.176\;x\;10^2\;m\;s^{-1}\)
    sun loss of mass due to elmag radiation constant constant \(4.273\;x\;10^{9}\;kg\;s^{-1}\)
    sun luminous effect constant constant \(98\;lm\;kg^{-1}\;m^{-2}\;s^3\)
    sun mass constant constant \(1.989\;10\;x\;10^{30}\;kg\)
    sun mean density constant constant \(1.408\;x\;10^3\;kg\;m^3\)
    sun mean radius constant constant \(6.9550\;x\;10^8\;m\)
    sun photosphere temperature constant constant \(5778\;K\)
    sun surface gravity on equator constant constant \(2.74\;x\;10^2\;m\;s^{-2}\)
    sun total neutrino emissions constant constant \(1.830\;x\;10^{38}\;s^{-1}\)
    sun volume constant constant \(1.412\;26\;x\;10^{27}\;m^3\)
\(H_c\) - superconductor critical field strength - -  -
\(T_c\) - superconductor critical transition temperature - -  -
\(\Delta\) Delta superconductor energy gap - -  -
\(S\) - surface area \(ft^2\) \(m^2\)  -
\(\sigma\) sigma surface change density - -  -
\(h_{pd}\) - surface discharge pressure \(ft\) \(m\)  -
\(S\) - surface - -  -
\(S4S\) - surface 4 sided - -  -
\(h_{ps}\) - surface suction head \(ft\) \(m\)  -
\(\pi\) pi surface pressure \(lb\;/\;in^2 \;or\; psi\) \(Pa\)  -
\(T_s\) - surface temperature \(^\circ F\) \(C\)  -
\(\gamma\), \(\;\sigma\) gamma, sigma surface tension \(lbf\;/\;ft\) \(N\;/\;m\)  -
\(B\) - susceptance - -  -
\(s\) - symmetry number - -  -