CIVIL ENGINEERING FORMULAS

BUILDING AND STRUCTURES FORMULAS 243

With fixed supports and a concentrated load on the horizontal member,
Fig. 9.13:

(9.121)

(9.122)

(9.123)

With fixed supports and and a concentrated load on one vertical member,
Fig. 9.14:

(9.124)

(9.125)

(9.126)

With fixed supports and a uniform load on the horizontal member, Fig. 9.15:

(9.127)

(9.128)

(9.129)

1

2 HL

2

2

I 2



M 2 L 2

I 2



1

3 M^2 L^3

I 3



1

6 M^1 L^3

I 3



1

24 WL

2

3

I 3

^12 HL^21

I 1



M 1 L 1

I 1



^13 M 1 L 3

I 3



1

6 M^2 L^3

I 3



1

24 WL

2

3

I 3

1

2 M^1 L

2

1

I 1



1

3 HL

3

1

I 1



1

3 HL

3

2

I 2



1

2 M^2 L

2

2

I 2

1

2 HL

(^22)
I 2



M 2 L 2

I 2



1

3 M^2 L^3

I 3



1

6 M^1 L^3

I 3

1

2 Wa

2

I 1



1

2 H^2 L

2

1

I 1



M 1 L 1

I 1



1

3 M^1 L^3

I 3



1

6 M^2 L^3

I 3

1

3 Wa

3

I 1



1

2 Wa

(^2) b
I 1



1

3 H^2 L

(^31)
I 1



1

2 M^1 L

(^21)
I 1



1

3 H^2 L

(^32)
I 2



1

2 M^2 L

(^22)
I 2
1
2 HL
2
2
I 2



M 2 L 2

I 2



1

3 M^2 L^3

I 3



1

6 M^1 L^3

I 3



1

6 W[2bL^3 (b

(^3) /L
3 )^3 b
(^2) ]
I 3



1

2 HL

2

1

I 1



M 1 L 1

I 1



1

3 M 1 L 3

I 3



1

6 W(bL 3 b

(^3) /L
3 )
I 3



1

6 M 2 L 3

I 3



1

3 HL

3

1

I 1



1

2 M^1 L

2

1

I 1



1

3 HL

3

2

I 2



1

2 M^2 L

2

2

I 2

FIGURE 9.13 Fixed supports, con-

centrated load on horizontal member.

(Roark–Formulas for Stress and

Strain, McGraw-Hill.)

FIGURE 9.14 Fixed supports, concen-

trated load on one vertical member.

(Roark–Formulas for Stress and Strain,

McGraw-Hill.)

3

1 2

W

a b

V 1

M 1 M 2

H

V 2

H

3

1

2

W

b

a

V

V

H 2

H 1

M 1 M 2