CIVIL ENGINEERING FORMULAS

(Frankie) #1
TABLE 2.4 Analytical Expressions for Z

Section Expression

A2 [(tb)C 1 bC 2 ]

Z 1 

R
A

b ln 

RC 2
RC 2 

(tb) ln 

RC 1
RC 1 

and AtC 1 (bt)C 3 bC 2

Z 1 
R
A

t ln (RC 1 )(bt) ln (RC 0 )b ln (RC 2 )

Z 1  (^2) 
R
r
R
r

B
R
r
2
 (^1) 
Z 1 
R
h
ln
RC
RC
h
R
Section
C
r
R
b
b
C 1
C 1
C (^3) C 2
R
C (^2) R
t
t
r
67

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