---
title: "Design process for masonry wall under lateral loads"
subject: "Concrete Technology and Masonry Structure"
chapter: 9
key: "semester_5/concrete_technology_and_masonry_structure:design-wall-lateral-loading"
source: https://www.bctengineer.com/q/semester_5/concrete_technology_and_masonry_structure/design-wall-lateral-loading
site: BCT Engineering
---

# Design process for masonry wall under lateral loads

Concrete Technology and Masonry Structure · Chapter 9: Masonry structures under lateral loads

- Asked in: 2072 Kartik, 8 marks
- Video: [Design of hollow Masonry wall Session 4](https://www.youtube.com/watch?v=gmoGbg_9vjM) — Dr. Ratna Tej Reddy K
- Answer checked by Claude Opus 5.5 (high effort) on 2026-10-14
- Page: https://www.bctengineer.com/q/semester_5/concrete_technology_and_masonry_structure/design-wall-lateral-loading
- Whole chapter: https://www.bctengineer.com/md/semester_5/concrete_technology_and_masonry_structure/chapter-9

## Question

Explain the design process for a masonry wall under lateral loadings.

## Short answer

Determine lateral load and support condition, compute bending moment (e.g., wH²/2 cantilever, wH²/8 simply supported). Add vertical load to find eccentricity e=M/N, check stresses (no tension or limited to 0.07 N/mm² vertically, 0.14 horizontally), perform compression check with 25% increase if e/t>1/24, and detail anchors.

## Answer

A masonry wall under lateral load (wind, earthquake or earth pressure) is designed by the working-stress method as per IS 1905 cl. 5.5.2 and 5.5.3.

#### Design steps

1. **Establish the lateral load:** wind pressure from IS 875 (Part 3) (as the design wind pressure $p_z$) or the seismic force; load per metre run $w$.
2. **Support conditions:** identify the structural system: cantilever (free-standing), simply supported between floor and roof (anchored), propped cantilever (fixed base, tied top), or panel supported on 3 or 4 edges (App. D).
3. **Bending moment:** cantilever $M=wH^2/2$; simply supported $M=wH^2/8$; fixed both ends $M=wH^2/12$; propped cantilever $M=wH^2/8$ at the fixed end.
4. **Vertical load:** add the vertical loads and self weight at the critical section.
5. **Effective height, slenderness ratio** (Tables 4, 5, 7) and **eccentricity** $e=M/N$ (or the load eccentricity).
6. **Stresses:** $\sigma = N/A \pm 6M/t^2$ per metre; check for no tension, or tension limited to 0.07 N/mm$^2$ for vertical bending (tension perpendicular to the bed joints) and 0.14 N/mm$^2$ for horizontal bending (tension parallel to the bed joints), with M1 mortar or richer (cl. 5.4.2).
7. **Compression check:** $\sigma \le f_b k_s k_a k_p$, with a 25 percent increase if $1/24<e/t\le1/6$ (cl. 5.4.1.4).
8. **Free-standing wall:** stability moment $\ge 1.5\times$ overturning moment, or $H/t$ from Table 11.
9. **Shear check** for in-plane forces: $f_s=0.1+f_d/6 \le 0.5$ N/mm$^2$ (cl. 5.4.3).
10. **Detailing:** anchors, damp-proof course, bands, and reinforcement if the masonry cannot take the tension.

```text
 Cantilever      Simply supported     Fixed-propped
   ^ free           anchor                anchor
   | w           ->|w               ->|w
   |              |                    |
   =====          anchor              =====
 M=wH^2/2        M=wH^2/8           M=wH^2/8 (base)
```

## Check yourself

The answer's key points as multiple-choice questions, with the correct option and why.

1. What is the moment for a free-standing cantilever wall?
   A. M = wH^2/2
   B. wH^2/8
   C. wH^2/12
   D. wH
   Answer: A. Cantilever formula. (Key point: Cantilever moment)

2. How are stresses checked?
   A. sigma = N x M
   B. sigma = N/A +/- 6M/t^2 per metre, limited tension 0.07 N/mm^2
   C. Tension unlimited
   D. Only shear
   Answer: B. Vertical bending tension limit with M1 mortar. (Key point: Stresses)

3. What is required for a free-standing wall?
   A. Equal to overturning
   B. 0.5 times
   C. Stability moment at least 1.5 times overturning moment
   D. No check
   Answer: C. Factor of safety 1.5. (Key point: Free-standing stability)

4. When is the 25 percent increase allowed?
   A. e/t > 1/6
   B. e = 0
   C. e/t < 1/24
   D. When 1/24 < e/t <= 1/6
   Answer: D. IS 1905 cl. 5.4.1.4. (Key point: Eccentricity increase)

## Related in Concrete Technology and Masonry Structure

- [Typical damage in masonry under lateral loads](https://www.bctengineer.com/question.md?key=semester_5%2Fconcrete_technology_and_masonry_structure%3Atypical-damage-lateral-loads) — Concrete Technology and Masonry Structure, chapter 9, asked 2×
- [Elements resisting lateral loads in masonry](https://www.bctengineer.com/question.md?key=semester_5%2Fconcrete_technology_and_masonry_structure%3Alateral-load-resisting-elements) — Concrete Technology and Masonry Structure, chapter 9, asked 6×
- [Common deficiency and failure under gravity, lateral loads](https://www.bctengineer.com/question.md?key=semester_5%2Fconcrete_technology_and_masonry_structure%3Adeficiency-failure-gravity-lateral) — Concrete Technology and Masonry Structure, chapter 9
- [Lateral load effect on wall with and without opening](https://www.bctengineer.com/question.md?key=semester_5%2Fconcrete_technology_and_masonry_structure%3Alateral-load-wall-with-openings) — Concrete Technology and Masonry Structure, chapter 9
- [3 m wall under wind: fixed top and bottom](https://www.bctengineer.com/question.md?key=semester_5%2Fconcrete_technology_and_masonry_structure%3Awind-wall-3m-fixed-top-bottom) — Concrete Technology and Masonry Structure, chapter 9, asked 2×
- [3 m wall under wind: free top, fixed bottom](https://www.bctengineer.com/question.md?key=semester_5%2Fconcrete_technology_and_masonry_structure%3Awind-wall-3m-free-top) — Concrete Technology and Masonry Structure, chapter 9, asked 2×

## Related in other subjects

- [Distribution of lateral force among masonry walls](https://www.bctengineer.com/question.md?key=semester_5%2Fdesign_of_timber_and_masonry_structures%3Alateral-load-sharing-among-piers) — Design of Timber and Masonry Structures, chapter 6
- [Wall with openings: pier loads and check](https://www.bctengineer.com/question.md?key=semester_5%2Fdesign_of_timber_and_masonry_structures%3Amasonry-wall-with-openings-piers) — Design of Timber and Masonry Structures, chapter 5
- [Out-of-plane bending of a masonry wall](https://www.bctengineer.com/question.md?key=semester_5%2Fdesign_of_timber_and_masonry_structures%3Aout-of-plane-wall-flexure-check) — Design of Timber and Masonry Structures, chapter 6
- [Check of a solid brick wall under gravity load](https://www.bctengineer.com/question.md?key=semester_5%2Fdesign_of_timber_and_masonry_structures%3Asolid-masonry-wall-gravity-check) — Design of Timber and Masonry Structures, chapter 5
