4. Wall Structural Analysis

Using 11.8 provisions, calculate factored loads as follows for each of the considered load combinations:

4.1. Roof Load per foot width of wall

04

Figure 2 – Typical Geometry of 10DT24 Section

4.2. Calculation of Maximum Wall Forces

The calculation of maximum factored wall forces in accordance with 11.8 is summarized in Figure 3 including moment magnification due to second order (P-Δ) effects.

05

Figure 3 – Wall Structural Analysis According to the Alternative Design of Slender Walls Method (PCA Notes)

For load combination #1 (U = 1.4 D)

ACI 318-19 (11.8.3.1d)

Where Mua is the maximum factored moment at midheight of wall due to lateral and eccentric vertical loads, not including PΔ effects.

ACI 318-19 (11.8.3.1)

ACI 318-19 (19.2.2.1.b)

ACI 318-19 (11.8.3.1c)

ACI 318-19 (11.8.3.1)

Calculate the effective area of longitudinal reinforcement in a slender wall for obtaining an approximate cracked moment of inertia.

ACI 318-19 (R11.8.3.1)

The following calculation are performed with the effective area of steel in lieu of the actual area of steel.

06

Figure 4 – 1 ft Wall Strip Cross-Section

ACI 318-19 (11.8.3.1c)

ACI 318-19 (21.2.2.1)

Therefore, section is tension controlled

ACI 318-19 (Table 21.2.2)

ACI 318-19 (Table 21.2.2)

ACI 318-19 (11.8.3.1d)

The steps above are repeated for all the considered load combinations, Table 1 shows the factored loads at mid-height of wall for all of these load combinations.

Table 1 - Factored load combinations at mid-height of wall

Load Combination

Pu

(kips)

Mua

(in.-kips)

Ec

(ksi)

n

Ase,w

(in.2/ft)

a

(in.)

c

(in.)

Icr

(in.4)

εt

(in./in.)

ϕ

Mu

(in.-kips)

1.4 D

4.21

3.74

3,605

8

0.34

0.50

0.58

32.4

0.0176

0.9

5.25

1.2 D + 1.6 Lr + 0.8 W

5.04

19.53

3,605

8

0.35

0.52

0.61

33.4

0.0168

0.9

29.38

1.2 D + 0.5 Lr + 1.6 W

4.05

32.61

3,605

8

0.33

0.49

0.58

32.3

0.0178

0.9

45.22

0.9 D + 1.6 W

2.70

31.21

3,605

8

0.31

0.46

0.54

30.7

0.0193

0.9

38.80

4.3. Tension-Controlled Verification

ACI 318-19 (11.8.1.1(b))

For this check use the largest Pu (5.04 kips) from load combination 2 to envelop all the considered combinations.

Therefore, section is tension controlled

ACI 318-19 (Table 21.2.2)