  # Which truss is the perfect truss out of the following?

By BYJU'S Exam Prep

Updated on: October 17th, 2023  Option 2 is the perfect truss. A perfect truss is one that has sufficient components to withstand loads without incurring shape deformation. The triangle truss, which has three members and joints, is the most straightforward ideal truss.

In a perfect truss m = 2j – 3

Where,

m is the total number of members

total number of joints = j

Table of content ### Types of Truss

We have mentioned different types of Trusses below.

Deficient Truss: The number of members is lower than what is needed for a perfect truss. When loaded, such trusses are unable to maintain their shape.

Redundant Trusses: A redundant truss has more members than what is necessary for a perfect truss. The equilibrium equations by themselves are insufficient for the analysis of such trusses. Consequently, a duplicated truss is statistically middle.

In option 1

m = 4, j = 4

m = 2j – 3 for perfect truss

here 2 × 4 – 3 = 5 ≠ 4 ( 5 > 4 ) \

Therefore, this truss is deficient truss

In option 2

m = 3, j = 3

m = 2j – 3 for perfect truss

2 × 3 – 3 = 3 = members of truss

Therefore, this is perfect truss

In option 3

m = 11, j = 6

m = 2j – 3 for perfect truss

here 2 × 6 – 3 = 9 ≠ 11 ( 9 < 11 )

Therefore, this truss is a Redundant truss

In option 4

m = 6, j = 5

m = 2j – 3 for perfect truss

here 2 × 5 – 3 = 7 ≠ 6 ( 7 > 6 ) Therefore, this truss is deficient truss

Summary:

## Which truss is the perfect truss out of the following?

The ideal truss is option number two. According to the figure, only option two is correct, and the rest of other options are wrong. In such case you should choose the number 2 option as the answer.

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