Design Considerations for Earthquake Forces - Simplified Design of Reinforced Concrete Buildings - page 311

For ACI Eq (9-7)

M = 104 - 0.032M DL
V = 6.9 - 0.032V DL

A summary for dead, live, wind and seismic loads moment and shear forces are presented in Table 11-12.

Table 11-12 Exterior Span Forces

D L W E (ACI Eq 9-5) E (ACI Eq 9-7)

M (ft-kip) -199 -56.2 ± 99.56 ± 110.4 ± 97.6

Exterior
support

V (kips) 55.8 15.7 ± 6.64 ± 8.68 ± 5.1

Midspan

M (ft-kip) 227.5 64.2

M (ft-kip) 318.6 -89.9 ± 99.56 ± 114.2 ± 93.8

Interior
support

V (kips) 64.3 18.1 ± 6.64 ± 9 ± 4.8

Load Combinations

Table 11-13 shows the factored axial force, bending moment and shear.

Table 11-13 Factored Axial Forces, Moment and Shear

Load Combinations Midspan Interior Support

Exterior Support

M u
(ft-kips)

V u
(kips)

M u
(ft-kips)

M u
(ft-kips)

V u
(kips)

Eq. (9-1) U = 1.4D

-278.6 78.12 318.5 -446.0 90.0

Eq. (9-2) U = 1.2D + 1.6L + 0.5L r

-328.7 92.08 375.7 -526.2 106.1

Eq. (9-3) U = 1.2D + 1.6L r + 0.5L

-266.9 74.81 305.1 -427.3 86.2

U = 1.2D + 1.6L r + 0.8W

-159.2 72.27 273.0 -302.7 82.5

U = 1.2D + 1.6L r - 0.8W

-318.4 61.64 273.0 -462.0 71.8

Eq. (9-4) U = 1.2D + 1.6W + 0.5L+ 0.5L r

-107.6 85.43 305.1 -268.0 96.8

U = 1.2D - 1.6W + 0.5L+ 0.5L r

-426.2 64.18 305.1 -586.6 75.6

Eq. (9-5) U = 1.2D + E + 0.5L

-156.5 79.91 305.1 -313.1 95.2

U = 1.2D - E + 0.5L

-377.3 69.71 305.1 -541.5 77.2

Eq. (9-6) U = 0.9D + 1.6W

-19.8 60.84 204.8 -127.4 68.5

U = 0.9D - 1.6W

-338.4 39.59 204.8 -446.0 47.2

Eq (9-7) U = 0.9D + 1.0E

-81.5 55.32 204.8 -192.94 62.7

U = 0.9D - 1.0E

-276.7 45.12 204.8 -380.54 53.1