Formula Symbols - S

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

Mathematics Symbols

 

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S

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SymbolGreek SymbolDefinitionEnglishMetricSIValue
\(S_0/R\) - Sackur-Tetrode constant dimensionless constant \(-1.164\;8708\)
\(SF\) - safety factor dimensionless -
\(S\) - sag \(in\) \(mm\) \(mm\) -
\(Q_s\) - sand quantity - - - -
\(r_s\) - sand ratio dimensionless -
\(\rho_{sat}\) rho saturated bulk density of soil \(\large{ \frac{lbm}{ft^3} }\) \(\large{ \frac{kg}{m^3} }\) \(kg - m^{-3}\) -
\(\gamma_{sat}\) gamma saturated unit weight \(\large{ \frac{lbf}{ft^3} }\) \(\large{ \frac{N}{m^3} }\) \(kg-m-s^{-2}\) -
\(e_s\) - saturated vapor pressure \(\large{\frac{lbf}{in^2}}\) \(Pa\) \(kg-m^{-1}-s^{-2}\)  -
\(Sc\) - Schmidt number dimensionless  -
\(SEER\) - seasonable energy efficiency ratio dimensionless  -
\(\Delta S\) - second law of thermodynamics \(\large{\frac{Btu}{lbm-R}}\) \(\large{\frac{kJ}{kg-K}}\)  \(kJ-kg^{-1}-K^{-1}\) -
\(I\) - second moment of area \(in^4\) \(mm^4\) \(mm^4\)  -
\(c_2\) - second radiation constant - \(\frac{m}{K}\)  \(m-K^{-1}\)  \(1.438\;776\;877...\;x\;10^{-2}\) \(\frac{m}{K}\)
\(S\) - section modulus

\(in^3\)

\(mm^3\) \(mm^3\)  -
 \(S_{required}\)  - section modulus required not to exceed allowable bending stress \(in^3\)  \(mm^3\)  \(mm^3\)  -
 \(S_x\)  - section modulus with the respect to the x-centroidal axis \(in^3\)  \(mm^3\)  \(mm^3\)  -
\(S_y\)  - section modulus with the respect to the y-centroidal axis \(in^3\)  \(mm^3\)  \(mm^3\)  -
\(w_s\) - sediment fall velocity \(\large{\frac{ft}{sec}}\) \(\large{\frac{m}{s}}\) \(m-s^{-1}\) -
\(S\) - Seebeck coefficient - \(\large{\frac{V}{K}}\) \(V-K^{-1}\) -
\(v_s\) - seepage velocity \(\large{\frac{ft}{sec}}\) \(\large{\frac{m}{s}}\) \(m-s^{-1}\)  -
\(L\) - self-inductance - - -  -
\(\delta\) delta semivertex angle \(deg\) \(rad\) \(rad\)  -
\(Q_s\) - sensible heat \(\large{\frac{Btu}{lbm}}\) \(\large{\frac{kJ}{kg}}\) \(kJ-kg^{-1}\) -
\(B\) - separation distance \(ft\) \(m\) \(m\)  -
\(SC\) - shading coefficient dimensionless  -
\(F_s\) - shading factor dimensionless  -
\(d\) - shaft deflection \(in\) \(mm\) \(mm\)  -
\(k\) - shape factor \(dimensionless\)  -
\(\phi\) phi shear angle \(deg\) \(rad\) \(rad\) -
\(J\) - shear compliance - - -  -
\(q\) - shear flow \(\large{\frac{lbf}{ft}}\) \(\large{\frac{kg}{m}}\)  \(kg-m^{-1}\)     -
\(J"\) - shear loss compliance - - -  -
\(G"\) - shear loss modulus - - -  -
\(G\), \(\;\mu\) mu shear modulus \(\large{\frac{lbf}{in^2}}\) \(MPa\) \(N-mm^{-2}\)  -
\(\dot {\gamma}\) gamma shear rate \(\large{\frac{1}{sec}}\) \(\large{\frac{1}{s}}\) \(1-s^{-1}\)  -
\(\delta_s\) delta shear deformation \(in\) \(mm\) \(mm\)  -
\(V\) - shear force \(\large{\frac{lbf}{in^2}}\) \(MPa\) \(N-mm^{-2}\)  -
\(G\) - shear modulus \(\large{\frac{lbf}{in^2}}\) \(MPa\) \(N-mm^{-2}\)  -
\(\dot {\gamma}\) gamma shear rate \(\large{\frac{ft}{sec}}\) \(\large{\frac{m}{s}}\)  \(m-s^{-1}\)  -
\(\gamma\) gamma shear strain \(deg\) \(rad\) \(rad\)  -
\(\tau\) tau shear stress \(\large{\frac{lbf}{in^2}}\)  \(MPa\)  \(N-mm^{-2}\)  -
\(\tau_{butt}\) tau sheat stress of weld \(\large{\frac{lbf}{in^2}}\)  \(MPa\)  \(N-mm^{-2}\) -
\(\tau_{\theta}\) tau shear stress in any oblique plane \(\large{\frac{lbf}{in^2}}\)  \(MPa\)  \(N-mm^{-2}\)  -
\(u*\) - shear velocity \(\large{\frac{ft}{sec}}\) \(\large{\frac{m}{s}}\) \(m-s^{-1}\) -
\(\sigma\) sigma sheat tension \(lbf\) \(N\) \(kg - m - s^{-2}\)  -
\(Sh\) - Sherwood number dimensionless  -
\(\theta\), \(\;\tau_*\) - Shields parameter dimensionless  -
\(\theta\) theta shock semivertex angle \(deg\) \(rad\) \(rad\)  -
\(\sigma\) sigma short range order parameter - - -  -
\(SL\) - shrinkage limit \(ft\) \(m\) \(m\) -
\(s\) - side length \(ft\) \(m\) \(m\)  -
\(S\) - sight distance for stopping or passing \(ft\) \(m\) \(m\) -
\(\mu\) mu simple viscosity \(\large{\frac{lbf - sec}{ft^2}}\) \( Pa - s \) \(kg-m^{-1}-s^{-1}\)  -
\(C_f\) - skin friction coefficient dimensionless  -
\(G\) - slipping - -    -
\(m\) - slope \(ft\) \(m\) \(m\)  -
\(l\) - slope length \(ft\) \(m\) \(m\) -
\(S\) - slope steepness \(ft\) \(m\) \(m\) -
\(\phi\) phi slope of the deflection of a beam at a point \(deg\) \(rad\) \(rad\)  -
\(Q_s\) - slug flow \(\large{\frac{ft^3}{sec}}\) \(\large{\frac{m^3}{s}}\)  \(m^3-s^{-1}\) -
\(F_s\) - slug force \(lbf\) \(N\) \(kg-m-s^{-2}\) -
\(\rho_s\) rho slug liquid density \(\large{\frac{lbm}{ft^3}}\) \(\large{\frac{kg}{m^3}}\)  \(kg-m^{-3}\)    -
\(\eta_s\) eta slurry viscosity \(\large{\frac{lbf - sec}{ft^2}}\) \(Pa-s\) \(kg - m^{-1} - s^{-1}\)  -
\(K\) - soil erodibility factor dimensionless -
\(SCL\) - solar cooling load factor dimensionless  -
\(\Omega\), \(\;\omega\) Omega, omega solid angle \(deg\) \(rad\) \(rad\)  -
\(\gamma_s\) gamma solid unit weight \(lbf\) \(N\) \(kg-m-s^{-2}\) -
\(S\) - Sommerfield number dimensionless  -
\(SB\) - Souders-Brown equation \(\large{\frac{ft}{sec}}\) \(\large{\frac{m}{s}}\)  \(m-s^{-1}\) -
\(a\) - sound \(\large{\frac{ft}{sec}}\) \(\large{\frac{m}{s}}\)  \(m-s^{-1}\)  -
\(W\) - sound energy flux - - -  -
\(L_w\) - sound power level - - -  -
\(u\) - sound particle velocity \(\large{\frac{ft}{sec}}\) \(\large{\frac{m}{s}}\) \(m - s^{-1}\)  -
\(L_p\) - sound pressure level - - -  -
\(L\) - span length under consideration \(ft\) or \(in\) \(m\) or \(mm\) \(m\) or \(mm\)  -
\(U\) - specific cutting energy - - -  -
\(h\) - specific enthalpy \(\large{\frac{Btu}{lbm}}\) \(\large{\frac{kJ}{kg}}\)  \(kJ-kg^{-1}\)  -
\(C_d\) - specific flow coefficient - - -  -
\(R\) - specific gas constant \(\large{\frac{lbf-ft}{lbm-R}}\) \(\large{\frac{J}{kg-K}}\)  \(J-kg^{-1}-K^{-1}\)  \(287\) \(\large{\frac{J}{kg-K}}\)
\(SG\) - specific gravity dimensionless  -
\(SG\), \(\;SG_g\) - specific gravity of gas dimensionless  -
\(SG\), \(\;SG_l\) - specific gravity of liquid dimensionless  -
\(SG_s\) - specific gravity of soil dimensionless -
\(c\) - specific heat \(\large{\frac{Btu}{lbm-F}}\) \(\large{\frac{kJ}{kg-K}}\)  \(kJ-kg^{-1}-K^{-1}\)  -
\(Q\), \(\;c_p\) - specific heat capacity \(\large{\frac{Btu}{lbm-F}}\) \(\large{\frac{kJ}{kg-K}}\)  \(kJ-kg^{-1}-K^{-1}\)  -
\(C_p\) - specific heat constant pressure \(\large{\frac{Btu}{lbm-F}}\) \(\large{\frac{kJ}{kg-K}}\)   \(kJ-kg^{-1}-K^{-1}\)  -
\(C_v\) - specific heat constant volume \(\large{\frac{Btu}{lbm-F}}\) \(\large{\frac{kJ}{kg-K}}\)  \(kJ-kg^{-1}-K^{-1}\)  -
\(c_a\) - specific heat of air \(\large{\frac{Btu}{lbm-F}}\) \(\large{\frac{kJ}{kg-K}}\)  \(kJ-kg^{-1}-K^{-1}\)  -
\(c_l\) - specific heat of liquid \(\large{\frac{Btu}{lbm-F}}\) \(\large{\frac{kJ}{kg-K}}\)  \(kJ-kg^{-1}-K^{-1}\)  -
\(\gamma\), \(\;\kappa\), \(\;k\) gamma, kappa specific heat ratio dimensionless  -
\(F_k\) - specific heat ratio factor dimensionless  -
\(I_{sp}\) - specific impulse \(sec\) \(s\) \(s\)   -
\(u\) - specific internal energy \(\large{\frac{Btu}{lbm}}\)  \(\large{\frac{kJ}{kg}}\)   \(kJ-kg^{-1}\)  -
\(R_{\lambda}\) lambda specific thermal resistance \(\large{\frac{ft^2-hr-F}{Btu}}\) \(\large{\frac{K-m}{W}}\)  \(K-m-W^{-1}\)  -
\(\eta_{sp}\) eta specific viscosity \(\large{\frac{lbf - sec}{ft^2}}\) \(Pa-s\)  \(kg - m^{-1} - s^{-1}\)  -
\(v\), \(\;\upsilon\) upsilon specific volume \(\large{\frac{ft^3}{lbm}}\) \(\large{\frac{m^3}{kg}}\)  \(m^3-kg^{-1}\)  -
\(\gamma \) gamma specific weight \(\large{\frac{lbf}{ft^3}}\) \(\large{\frac{N}{m^3}}\)  \(N-m^{-3}\)  -
\(\gamma_a \) gamma specific weight of air \(\large{\frac{lbf}{ft^3}}\) \(\large{\frac{N}{m^3}}\)  \(N-m^{-3}\)  -
\(w\) - specific work \(\large{\frac{lbf-ft}{lbm}}\) \(\large{\frac{kJ}{kg}}\)   \(kg-kg^{-1}\) -
\( f_{c}{'} \) - specified 28 day compressive strength of concrete \(\large{\frac{lbf}{in^2}}\) \(Pa\) \(kg-m^{-1}-s^{-2}\) -
\(u\), \(\;v\) - speed \(\large{\frac{ft}{sec}}\) \(\large{\frac{m}{s}}\)  \(m-s^{-1}\)  -
\(s\) - speed (rpm) \(\large{\frac{rev}{sec}}\) \(\large{\frac{rev}{s}}\)  \(rev-s^{-1}\)    -
\(c\)   speed of light \(\large{\frac{ft}{sec}}\) \(\large{\frac{m}{s}}\)  \(m-s^{-1}\) \(299\;792\;458\) \(\large{\frac{m}{s}}\)
\(c\) - speed of light in vacuum \(\large{\frac{ft}{sec}}\) \(\large{\frac{m}{s}}\)  \(m-s^{-1}\) \(299\;792\;458\) \(\large{\frac{m}{s}}\)
\(c\) - speed of light wave velocity \(\large{\frac{ft}{sec}}\) \(\large{\frac{m}{s}}\)  \(m-s^{-1}\) \(299\;792\;458\) \(\large{\frac{m}{s}}\)
\(v\) - speed of moving charge \(\large{\frac{ft}{sec}}\) \(\large{\frac{m}{s}}\)  \(m-s^{-1}\)  
\(a\) - speed of sound \(\large{\frac{ft}{sec}}\) \(\large{\frac{m}{s}}\)  \(m-s^{-1}\)  -
\(S\), \(\;s_i\) - spin - - -  -
\(L_c\) - spring coil wire length \(in\) \(mm\) \(mm\) -
\(k\), \(\;k_s\) - spring constant \(\large{\frac{lbf}{ft}}\) \(\large{\frac{N}{m}}\)  \(N-m^{-1}\)    -
\(d_s\) - spring displacement \(in\) \(mm\) \(mm\)  -
\(d_s\)   spring deflection \(in\) \(mm\) \(mm\) -
\(E\), \(\;E_s\) - spring energy \(lbf-ft\) \(J\) \(kg-m^2-s^{-2}\)  -
\(x_0\) - spring equilibrium position \(in\) \(mm\) \(mm\) -
\(F_s\) - spring force \(lbf\) \(N\) \(kg-m-s^{-2}\)  -
\(k_s\) - spring force constant \(\large{lbf-ft}\) \(\large{\frac{N}{m}}\)  \(N-m^{-1}\)    -
\(l_f\) - spring free length \(in\) \(mm\) \(mm\) -
\(C\) - spring index dimensionless  -
\(D_i\) - spring inside diameter \(in\) \(mm\) \(mm\) -
\(l_i\) - spring installed length \(in\) \(mm\) \(mm\) -
\(P\) - spring load \(lbf\) \(kg\) \(kg\)  -
\(n\), \(\; n_a\)  - spring number of active coils dimensionless -
\(l_o\) - spring operating length \(in\) \(mm\) \(mm\)  -
\(D_o\) - spring outside diameter \(in\) \(mm\) \(mm\) -
\(p\) - spring pitch \(in\) \(mm\) \(mm\) -
\(PE_s\) - spring potential energy \(lbf-ft\) \(J\) \(kg-m^2-s^{-2}\)  -
\(n_s\) - spring rate \(in\) \(mm\) \(mm\) -
\(n_t\) - spring total number of coils dimensionless -
\(L_t\) - spring total wire length \(in\) \(mm\) \(mm\) -
\(G\) - spring shear modulus of material \(\large{\frac{lbf}{in^2}}\) \(MPa\) \(N-mm^{-2}\) -
\(\tau\) tau spring shear stress \(\large{\frac{lbf}{in^2}}\) \(MPa\) \(N-mm^{-2}\) -
\(l_s\) - spring solid length or shut length \(in\) \(mm\) \(mm\)  -
\(C_s\) - spring space between coils \(in\) \(mm\) \(mm\)  -
\(d\) - spring wire diameter \(in\) \(mm\) \(mm\) -
\(S\), \(\;\sigma\) - spring wire stress \(\large{\frac{lbf}{in^2}}\) \(MPa\) \(N-mm^{-2}\) -
\(p_s\) - stagnation pressure \(\large{\frac{lbf}{in^2}}\) \(Pa\) \(kg-m^{-1}-s^{-2}\)  -
\(R*\) - standard atmosphere at sea level \(millibars\) \(millibars\) \(millibars\)   \(1013.25\) \(millibars\)
\(\sigma\), \(\;SD\) sigma standard deviation - - - -
\(g\) - standard gravity \(\large{\frac{ft}{sec^2}}\) \(\large{\frac{m}{s^2}}\)  \(m-s^{-2}\)   \(9.806\;65\) \(\large{\frac{m}{s^2}}\)
\(g\) - standard gravity acceleration \(\large{\frac{ft}{sec^2}}\) \(\large{\frac{m}{s^2}}\)  \(m-s^{-2}\)   \(9.806\;65\) \(\large{\frac{m}{s^2}}\)
\(St\) - Stanton number dimensionless  -
\(h_{sd}\) - static discharge head \(ft\) \(m\) \(m\)   -
\(SE\) - static efficiency dimensionless  -
\(f_s\) - static friction \(lbf\) \(N\) \(kg-m-s^{-2}\)  -
\(\mu_s\) mu static friction coefficient dimensionless  -
\(h_s\) - static head \(ft\) \(m\) \(m\)  -
\(HP_o\) - static horsepower output \(\large{\frac{ft-lbf}{sec}}\) \(\large{\frac{J}{s}}\)  \(J-s^{-1}\) -
\(SP\) - static pressure \(\large{\frac{ft^3}{min}}\) \(\large{\frac{m^3}{min}}\)  \(m^3-min^{-1}\)  -
\(h_{ss}\) - static suction head \(ft\) \(m\) \(m\)  -
\(\rho_s\) rho steam density \(\large{\frac{lbm}{ft^3}}\) \(\large{\frac{kg}{m^3}}\)  \(kg-m^{-3}\)  -
\(Q_s\) - steam flow rate \(\large{\frac{ft^3}{sec}}\) \(\large{\frac{m^3}{s}}\)  \(m^3-s^{-1}\)  -
\(Q_s\) - steam flow rate through piping \(\large{\frac{ft^3}{sec}}\) \(\large{\frac{m^3}{s}}\)  \(m^3-s^{-1}\) -
\(\Psi \) Psi steam function - - -  -
\(L\), \(\;L_s\) - steam latent heat \(lbf-ft\) \(J\) \(kg-m^2-s^{-2}\)  -
\(d\) - steam pipe sizing \(in\) \(mm\) \(mm\) -
\(\Phi \) Phi steam potential - - -  -
\(p_l\) - steam pressure loss through piping \(\large{\frac{lbf}{in^2}}\) \(Pa\) \(kg-m^{-1}-s^{-2}\) -
\(v_s\) - steam velocity \(\large{\frac{ft}{sec}}\) \(\large{\frac{m}{s}}\)  \(m-s^{-1}\)  -
\(v_s\) - steam velocity through piping \(\large{\frac{ft}{sec}}\) \(\large{\frac{m}{s}}\)  \(m-s^{-1}\) -
\(Ste\) - Stefan number dimensionless  -
\(\sigma\) sigma Stefan-Boltzmann constant \(\large{\frac{Btu}{hr-ft^2-R^4}}\) \(\large{\frac{W}{m^2-K^4}}\)  \(W-m^{-2}-K^{-4}\)  \(5.670\;374\;419...\;x\;10^{-8}\) \(\large{\frac{W}{m^2-K^4}}\)
\(P\) - Stefan-Boltzmann law \(lbf-ft\) \(J\) \(kg-m^2-s^{-2}\) -
\(k\) - stiffness \(\large{\frac{lbf}{in^2}}\) \(MPa\) \(N-mm^{-2}\)  -
\(St\) - Stokes' law \(lbf\) \(N\) \(kg-m-s^{-2}\)  -
\(Stk\), \(\;S_k\) - Stokes number dimensionless  -
\(SE\) - Stokes-Einstein equation \(lbf\) \(N\) \(kg-m-s^{-2}\) -
\(d\) - stopping distance \(ft\) \(m\) \(m\) -
\(SSD\), \(\;S\) - stopping sight distance \(ft\) \(m\) \(m\) -
\(\epsilon \) epsilon strain \(\large{\frac{in}{in}}\) \(\large{\frac{mm}{mm}}\)   \(mm-mm^{-1}\)  -
\(\epsilon_o\) epsilon strain amplitude - - -  -
\(U\) - strain energy \(lbf-ft\) \(J\) \(kg-m^2-s^{-2}\)  -
\(S\) - strength \(\large{\frac{lbf}{in^2}}\) \(Pa\) \(kg-m^{-1}-s^{-2}\)  -
\(K\) - strength coefficient - - -  -
\(S\), \(\;\sigma\) sigma stress \(\large{\frac{lbf}{in^2}}\) \(MPa\) \(N-mm^{-2}\)  -
\(L\) - stroke \(in\) \(mm\) \(mm\)  -
\(L\) - stroke length \(in\) \(mm\) \(mm\)  -
\(S\) - strength - - -  -
\(Sr\) - Strouhal number dimensionless  -
\(N\) - Stuart number dimensionless  -
\(C_{NPSH}\) - suction head coefficient dimensionless -
\(SA\) - suction specific speed available \(\large{\frac{rev}{min}}\) \(\large{\frac{rev}{min}}\)  \(rev-min^{-1}\)  -
\(\Sigma\) Sigma summation - - -  -
 - - sun age \(b-yr\) \(b-yr\) \(b-yr\) \(4.603\) \(b-yr\)
-  - sun escape velocity \(\large{\frac{ft}{sec}}\) \(\large{\frac{m}{s}}\)  \(m-s^{-1}\) \(6.15\) \(\large{\frac{m}{sec}}\)
-  - sun mass \(lbm\) \(kg\) \(km\) \(1.98892\;x\;10^{30}\) \(kg\)
-  - sun mean density \(\large{\frac{lbm}{ft^3}}\) \(\large{\frac{kg}{m^3}}\)   \(kg-m^{-3}\) \(1.622\;x\;10^5\) \(\large{\frac{kg}{m^3}}\)
 -  - sun mean radius \(mi\) \(km\) \(km\) \(695,500\) \(km\)
 -  - sun photosphere temperature \(F\) \(K\) \(x-273.15\;C\)  about \(10,000\) \(F\)
 - - sun surface gravity on equator \(\large{\frac{ft}{sec^2}}\)  \(\large{\frac{m}{s^2}}\)  \(m-s^{-2}\)  \(27.94\) \(\large{\frac{m}{s^2}}\) 
 -  - sun volume \(ft^3\) \(m^3\) \(m^3\) \(1.412\;x\;10^{18}\) \(m^3\)
\(S\) - surface area \(ft^2\) \(m^2\) \(m^2\)  -
\(\sigma\) sigma surface change density \(\large{\frac{lbm}{ft^3}}\) \(\large{\frac{kg}{m^3}}\) \(kg-m^{-3}\)  -
\(h_{pd}\) - surface discharge pressure \(ft\) \(m\) \(m\)  -
\(S\) - surface - - -  -
\(S4S\) - surface 4 sided - - -  -
\(h_{pd}\) - surface discharge pressure \(\large{\frac{lbf}{in^2}}\) \(Pa\) \(kg-m^{-1}-s^{-2}\) -
\(h_{ps}\) - surface suction head \(ft\) \(m\) \(m\)  -
\(h_{ps}\) - surface suction pressure \(\large{\frac{lbf}{in^2}}\) \(Pa\) \(kg-m^{-1}-s^{-2}\) -
\(\pi\) pi surface pressure \(\large{\frac{lbf}{in^2}}\) \(Pa\) \(kg-m^{-1}-s^{-2}\)  -
\(T_s\) - surface temperature \(F\) \(C\) \(x+273.15\;K\)  -
\(\gamma\), \(\;\sigma\) gamma, sigma surface tension \(\large{\frac{lbf}{ft}}\) \(\large{\frac{N}{m}}\)  \(N-m^{-1}\)   -
\(s\) - symmetry number dimensionless  -
\(H\) - system head \(ft\) \(m\) \(m\) -
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