1916 - 1055

A GRAPHICAL METHOD O F D E T E R M I N I N G BENDING M O M E N T S IN CONTINUOUS BEAMS. (Strictly Copyright.)

i* V Supports shewn thus

Fixed 7>ciiitsShH-tli!

o < w 2 td W w

M

C o n s t r u c t i o n fo r i F i n d i n g F i x e d P o i n t s S, TVU.IV, W, X, Y, Z.Divide spans into \ points, A,,*g, Aj, &c. Set out

** *, = '' ; h< i2 m k, &c . 3 3 A^i at any convenient

angle. Produce/ , B to xva and ioin^, m-i, cutting line KC in

which is the left-hand fixed point of sp-in BC. Draw Tyvj at any convenient angle and continue as previously, finding V, the left-hand fixed pjint of span CD. Likewise find X and Z. The construction helow line AF determines right-hand fixed points.

U n i f o r m l y D i s t r i bu t ed Load.B, O, H, C is diagram for bending moment on freely supported span. K is on centre '"> of span. Join KB and KC, cutting perpendicular through T and U in I. and M respectively. N, L, M, O is the closing line.

M S I N G L E P O I N T f c L O A D A T C E N T R E O F 8PAN,B.G.C. is diagram for bending moment on freely supported span. P and K are fixed as shown in diagram^ Join BK_ and KC, ci tting perpendicular through T and U in L and M respectively. " "* N, L, M, O is the closing line.