623 
AA, BB and C,xC of the points of support 4, B and C become known’). 
x 
Now the point 4d,’, belonging to Ax, is also fixed, so that the 
side II, III, ean at once be drawn in the right direction. For together 
with dg this side must produce a point of intersection B", the situation 
of which is known, because the sides IIx, III, and TW, „IV must 
eut from /p asegment of definite length, representing the statical moment 
relative to B of the “force” acting along lij. With the side Il, I, 
not only the side III, „IV, but also the side ,1V,,V is determined, 
because the latter, on account of the equality of the fieldlengths 
AB and BC, must give a point of intersection with II, III, on Zz. 
Finally the side ,V,xVI,xC can be drawn too, as this together 
with ,1V,,V must also cut a segment of known length from Zp. 
If now the supposition, made with regard to Mg, had been right, 
the point of intersection „C of xV,xVI with Je would coincide with 
the point „C, which apparently does not happen. 
The construction might however be repeated with judiciously 
chosen values of Mg, till the points „C and ,C quite or nearly coincide. 
But these tentative attempts to find the real value of Mg are 
made superfluous by the construction to be given in the following 
paragraphs, from which the coincidence of the points „C and „C 
ensues directly and exactly. 
4. Closely following the line of thought developed in §3 let us in 
the first place assign the value zero to the moment of transition Mg. 
In this case the beams AB and BC can be considered as two 
beams supported at their extremities, of which the reactions of 
support can be determined directly. The descents of the points A, B 
and C are also known; if u represents the coefficient of stiffness 
of the springs they are: 
AANDELEN OR OET 
6 
Through the point A’,, which lies the known distance a, mentioned 
before, below A,, the beam II,, II], must now be drawn, which 
however, the “force” along /yyy being zero, must act along the side 
III, „IV, which itself passes through B. 
6 
1) An index placed under a letter denotes the value of the moment of transition 
belonging to the point of support indicated by the letter. 
An index placed to the right or to the left of a figure or letter denotes the 
value of the moment of transition in the first point of support to the right or to 
the left. 
