Itm1andm2 are the members of two Individual simple trusses of a compound truss. The compound truss will be rigid and determinate if
A
m=m1+m2+2
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B
m=m1+m2+3
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C
m=m1+m2+1
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D
m=m1+m2
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Solution
The correct option is Cm=m1+m2+1
Compound truss is formed by connecting two or more simple trusses together
This type of trusses is used to support loads acting over a large span, since it is cheaper to construct a some what lighter compound truss than to use a heavier single simple truss.
There are three ways in which simple trusses are joined together to form a compound truss.
(a) The truss may be connected by a common joint and bar. Example: Here the shaded truss ABC is connected to the shaded truss CDE. m=m1+m2+1
(b) The truss may be joined by three bars Example: Here the shaded truss ABC connceted to the larger truss DEF
m=m1+m2+3
The trusses may be joined where bars of a large simple truss, called the main truss, have been substituted by simple trusses called secondary trusses. Example: Dashed members of the main truss ABCDE have been replaced by the secondary shaded trusses.