Advanced Methods of Structural Analysis

Appendix 581

Ta b l e A. 2 2 Reactions of beams subjected to compressed load and unit settlement ofsupport,

Dl

r

P

EI

Pinned-clamped beam Clamped-clamped beam

1

P

l

M = 3 iφ 1 (υ)

φ 1 (υ)

l

R = 3 i

P

R

M

EC

1

P

l

P

R

MB

EC

MA^1

M = 4 ij 2 (u)

j 4 (u)

l

R = 6 i

2 ij 3 (u)

2

P

l

P

R

M

1

h 1 (u)

l^2

i

R = 3

j 1 (u)

l

i

M = 3

P

l

P

R

MB

1

MA

j 4 (u)

l

i

(^6) j 4 (u)
l
M = 6 i
h 2 (u)
l^2
R = 12 i
3
P
l
P
M
1 D
P
M = iu tan u
P
u
M = itan u
u
isin u
P
l
P
M
(^1) D
4
P
l
P
1
P
l^2
i
l
R R ==P
Pinned-pinned beam
M = iu tan u
P
P
l
P
M
1
Clamped-free beam