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modulimore about moduli

moduli

 

  1  definition  found 
 
  From  Webster's  Revised  Unabridged  Dictionary  (1913)  [web1913]: 
 
  Modulus  \Mod"u*lus\,  n.;  pl  {Moduli}.  [L.,  a  small  measure.  See 
  {Module},  n.]  (Math.,  Mech.,  &  Physics) 
  A  quantity  or  coefficient,  or  constant,  which  expresses  the 
  measure  of  some  specified  force,  property,  or  quality,  as  of 
  elasticity,  strength,  efficiency,  etc.;  a  parameter. 
 
  {Modulus  of  a  machine},  a  formula  expressing  the  work  which  a 
  given  machine  can  perform  under  the  conditions  involved  in 
  its  construction;  the  relation  between  the  work  done  upon 
  a  machine  by  the  moving  power,  and  that  yielded  at  the 
  working  points,  either  constantly,  if  its  motion  be 
  uniform,  or  in  the  interval  of  time  which  it  occupies  in 
  passing  from  any  given  velocity  to  the  same  velocity 
  again  if  its  motion  be  variable;  --  called  also  the 
  efficiency  of  the  machine.  --Mosley.  --Rankine. 
 
  {Modulus  of  a  system  of  logarithms}  (Math.),  a  number  by 
  which  all  the  Napierian  logarithms  must  be  multiplied  to 
  obtain  the  logarithms  in  another  system. 
 
  {Modulus  of  elasticity}. 
  a  The  measure  of  the  elastic  force  of  any  substance, 
  expressed  by  the  ratio  of  a  stress  on  a  given  unit  of  the 
  substance  to  the  accompanying  distortion,  or  strain. 
  b  An  expression  of  the  force  (usually  in  terms  of  the 
  height  in  feet  or  weight  in  pounds  of  a  column  of  the 
  same  body)  which  would  be  necessary  to  elongate  a 
  prismatic  body  of  a  transverse  section  equal  to  a  given 
  unit,  as  a  square  inch  or  foot,  to  double,  or  to  compress 
  it  to  half,  its  original  length,  were  that  degree  of 
  elongation  or  compression  possible,  or  within  the  limits 
  of  elasticity;  --  called  also  {Young's  modulus}. 
 
  {Modulus  of  rupture},  the  measure  of  the  force  necessary  to 
  break  a  given  substance  across  as  a  beam,  expressed  by 
  eighteen  times  the  load  which  is  required  to  break  a  bar 
  of  one  inch  square,  supported  flatwise  at  two  points  one 
  foot  apart,  and  loaded  in  the  middle  between  the  points  of 
  support.  --Rankine.




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