with Lateral and Non-Axial Loads. 211 



into account the moments at the supports which are caused 

 by the bending of the beams. These moments are analogous 

 to those obtained in the ordinary bending moment diagram 

 for continuous beams, and will depend upon the shape of 

 curve between the supports, e. g., let AmnopqJ), fig. 5, 



Fig. 5. 



^Q QQQQQQQQQQQQ^^ 



B 71 



J>C 



D/'agmm ofBe/tdi/r? Moments 

 caused by pr/ma/y cieftect/ons 



represent the deflexion curve for the beam continuous over 

 two supports and carrying loads of equal intensity over the 

 two left-hand spans, and another uniform load of a different 

 intensity over the right-hand span. Referring to the left- 

 hand span, AmB would be the bending moment diagram for 

 a beam of shape AmB under an end load if the beam were 

 discontinuous over the support B. Since this is not the case 

 and since a moment exists over the support B, the base-line 

 for the curve of bending moments will be A?'. Similarly rs 

 and sD will represent the bases for the centre and right- 

 hand spans respectively. The arguments used in the proof 

 of Claxton Fidler's method of drawing the ordinary bending 

 moment diagrams for continuous beams apply equally well 

 to this case, and it follows that if characteristic points 

 GHIJ be drawn for the intermediate supports, the base-line 

 must pass over and under the points on either side by equal 

 amounts if the spans are equal, or by amounts inversely 

 proportional to the two spans on each side of the support if 

 the spans be unequal. This base-line being drawn we now 

 know the bending moments induced in the beam by its being 

 under end-long loading and being bent to the curve given 

 by the primary deflexion diagram. Should further accuracy 

 be desirable the secondary deflexion diagram may be drawn 



P 2 



