About 21,400 results
|Textbook for teaching computational mathematics.|
|When the slenderness ratio is more than 150, Johnson's equation gives negative |
values of unit load, which is illogical. 3. The curves given by Euler's and
Johnson's equations are tangential at point P, where unit load (Pcr/A) is equal to (
|As discussed above, the Euler equation holds for linear elastic materials, but this |
is not accurate near the yield point. ... Perhaps the most widely used modification
is the Johnson equation: (σcr)J = (Pcr)J A = Sy − S 2 y 4π2E ( le rg ) 2 .
|According to Johnson's equation, P„ 1 - (23.8) 4«7r£ 1 where, Syl is the yield |
strength of the material. In order to study the above two equations, we will
consider a numerical example. Let us consider a column with both ends hinged
and made ...
|Quadratic Equation [quadratic is from Lat. quadra tus, squared, deriv. of quadra're|
, make square, (in math.) square, deriv. of quat'tuor, four] : an equation of the
second degree, containing but one unknown quantity. Every quadratic equation ...
|An equation is said to be indeterminate when the unknown quantities that enter it |
admit of an infinite number of values. Thus the equation of a straight line y = ax +
b is indeterminate ; for if we give to x anv value, we can find from the equation a ...
|+ Eh + 3hhm + 511m I 0- (9.3.182) This equation is similar to (9.3.166) in which R|
, 5 are replaced by t and $, respectively. Example 9.3.6 (Transformation of
Johnson 's Equation to the KdVEquation). We recall Johnson's equation (9.3.178)
1 1 ...
|R. S. Johnson. and K0? = HaB/ R. At the next order the important difference again |
arises from the equation of mass conservation, where which leads to a fourth KdV
-type equation 2#o# + -~ HO + 3//0//0? + T HO&I; where F0^ = HQ&/R. When ...
|that is to say, that no possible algebraic expression could be formed which, being |
substituted for as in the equation, would satisfy the latter. Thus the question is
forever set at rest. But it is possible to write special equations of the fifth or higher