Influence Diagrams for the Determination of Maximum Moments in Trusses And Beams

Cover Influence Diagrams for the Determination of Maximum Moments in Trusses And Beams
Influence Diagrams for the Determination of Maximum Moments in Trusses And Beams
Howe, Malverd A. (Malverd Abijah), B. 1863
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to the general rule and is shown by the shaded area in Fig. 18. This diagram shows that each and every load placed upon the span produces the same kind of stress in the diagonal UL'.
The criterion for the position of wheel loads which produce the maximum moment is found as follows: = Tri(-tan ^i+tan ^3)+Tr2(-tan ^2+tan ^3) + 1^3 tan ^3=0, . . .
/ (61) Digitized by CjOOQ IC i 28 or INFLUENCE DIAGRAMS W tan ^3 = Wi tan di +W2 tan $2.
. (62) Substituting the values of the tangents I s sd ' (63) wh
...ere W is the total load on the span.
Fig. 19.
Vertical of Simple Truss Having Center of Moments between the Supports. — The vertical member ULy Fig. 19, has its center of moments between the supports. The moment influence diagram is constructed according to the general rule and is the shaded area in Fig. 19. This diagram Digitized by CjOOQ IC SIMPLE TRUSSES ^ 29 is similar to that in Fig. 18 and therefore the criterion locating wheel loads which produce the maximum moment is Digitized by CjOOQ IC CHAPTER II DOUBLE INTERSECTION TRUSSES Double Intersection Trusses are made up of two or more simple trusses and the influence diagram for any member is found by first drawing the influence diagram for each simple truss and then connecting these diagrams so as to form one diagram.


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