Structural Concrete - Hassoun

Appendix C Structural Aids 1031
Table C.7
(Continued)
Example: K values
1.
2.
DL
w = 0.4
DL
w = 1.0
8. Concentrated loads:
P ′ = concentrated dead load
P ′′ = concentrated live load
( )
P
′
M = + P′′
L
K 1 K 2
First Span AB
Second Support B
K 1 (DL) K 2 (LL) K 1 (DL) K 2 (LL)
Number of Spans 2 3 4 2 3 4 2 3 4 2 3 4
Central load 6.40 5.71 5.89 4.92 4.70 4.76 5.35 6.67 6.22 5.33 5.71 5.53
One-third-point loads 4.50 4.09 4.20 3.60 3.46 3.50 3.00 3.75 3.50 3.00 3.21 3.11
One-fourth-point loads 3.67 3.20 3.34 2.61 2.46 2.50 2.13 2.67 2.49 2.13 2.28 2.21
Second Span BC
Third Support C
K 1 K 2 K 1 K 2
Number of Spans 3 4 3 4 4 4
Central load 10.00 8.61 5.71 5.46 9.33 6.22
One-third-point loads 15.00 9.00 5.00 4.50 5.25 3.50
One-fourth-point loads 8.00 6.05 3.20 3.01 3.72 2.49
Example: K values
(
P
′
K 1 (dead load) M AB (max) =
5.71 + P′′
4.7
(
P
′
−M B (max) =
6.67 + P′′
5.71
(
P
′
K 2 (live load) M BC (max) =
10 + P′′
5.71
)
L
)
L
)
L