M.S MAHAFUZ SHAWON FAKIRB.Sc. In Civil Engineering.

ID..050 07732

STAMFORD UNIVERSITY BANGLADESH

TRUSSCHAPTER:2

INTRODUCE DIFFERENT PART OF THE TRUSS.

Joint

Member

Reaction

Here,

j = Total Number of Joints.

b = Total Number of Member.

r = Minimum Number of Reactive Components

required for External Stability/Determinacy.

b + r = 2j

ESSENTIAL FORMULA FOR TRUSS.

STABILITY

b + r < 2J The truss is Stable.

b + r ≥ 2J The truss is Unstable.

DETERMINACY:

b + r = 2J The truss is Determinate.

b + r > 2J The truss is Indeterminate.

If truss is Indeterminate, then

Degree of Indeterminacy (I) = (b+r)-2j

Determine the stability and determinacy condition for the following structure as shown in the figure.

Here,b = 11r = 8j = 7b+r = 11+8= 192j = 2*7= 14

Since, b+r > 2j The truss is Stable. Since, b+r> 2j The truss is Indeterminate.

I = (b+r)-2j = 19-14 = 5°

Determine the stability and determinacy condition for the following structure as shown in the figure.

Here,b = 18r = 3j = 10

b+r = 18+3= 21

2j = 2*10 = 20

Since, b+r > 2j The truss is Stable.Since, b+r> 2j The truss is Indeterminate.

I = (b+r)-2j = 21-20 = 1°

Determine the stability and determinacy condition for the following structure as shown in the figure.

Here,b = 17r = 3j = 10

b+r = 17+3 = 20

2j = 2*10 = 20

Since, b+r = 2j The truss is Stable.Since, b+r= 2j The truss is Determinate.

Determine the stability and determinacy condition for the following structure as shown in the figure.

Here,b = 16r = 4j = 9

b+r = 16+4 = 20

2j = 2*9 = 18

Since, b+r < 2j The truss is Unstable.

Determine the stability and determinacy condition for the following structure as shown in the figure.

Here,b = 9r = 2j = 6

b+r = 9+2 = 11

2j = 2*6 = 12

Since, b+r < 2j The truss is Unstable.

Determine the stability and determinacy condition for the following structure as shown in the figure.

Here,b = 37r = 3j = 20

b+r = 37+3 = 40

2j = 2*20 = 40

Since, b+r = 2j The truss is Stable.Since, b+r= 2j The truss is Determinate.

Determine the stability and determinacy condition for the following structure as shown in the figure.

Here,b = 14r = 2j = 8

b+r = 14+2 = 16

2j = 2*8 = 16

Since, b+r = 2j The truss is Stable.Since, b+r= 2j The truss is Determinate.

Determine the stability and determinacy condition for the following structure as shown in the figure.

Here,b = 54r = 3j = 25

b+r = 54+3 = 57

2j = 2*25 = 50

Since, b+r > 2j The truss is Stable.Since, b+r > 2j The truss is Determinate.

I=(b+r)-2j = 57-50 =7°

Determine the stability and determinacy condition for the following structure as shown in the figure.

Here,b = 22r = 3j = 11

b+r = 22+3 = 25

2j = 2*11 = 22

Since, b+r > 2j The truss is Stable.Since, b+r > 2j The truss is Indeterminate.

I=(b+r)-2j = 25-22 =3°

Determine the stability and determinacy condition for the following structure as shown in the figure.

Here,b = 13r = 4j = 8

b+r = 13+4 = 17

2j = 2*8 = 16

Since, b+r > 2j The truss is Stable.Since, b+r > 2j The truss is Indeterminate.

I=(b+r)-2j = 17-16 =3°

SLAID MADE BY MSF

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