Amogh N P
 In loving memory of Amogh N P — Architect · Designer · Visionary 
Exposed timber roof beams and rafters — structural wood working in bending.
Unit VDesign of Structures - II

Timber Beams

A different code, a different philosophy — grade the wood, then keep the stress within bounds.

≈ 35 min + worked example

Timber switches the rules. Where steel uses the limit-state method with factored loads, IS 883 designs wood by the older working-stress method: grade the piece, look up its permissible stress, and keep the actual stress below it. You will grade the timber, set the permissible stress with its location and duration factors, size the beam — and check deflection, which timber's low stiffness so often makes the deciding limit.

Learning objectives

By the end of this lesson, you will be able to — mapped to the course outcomes for Design of Structures I:

1
CO5 · Understand

Explain how IS 883 grades timber and why it uses working stress rather than limit state.

2
CO5 · Understand

Describe the strength groups, the effect of defects and moisture, and the location and duration factors.

3
CO5 · Apply

Size a simply-supported timber beam from the required section modulus Z = M/σ_permissible.

4
CO6 · Apply

Check a timber beam for horizontal shear and for deflection.

Groups, grades, defects

Grading the wood

Indian timbers fall into strength groups (A/B/C) by stiffness and strength; each piece is then visually graded (Select, Grade I, Grade II) by its defects. Seasoning, location and the duration of load all modify the permissible stress.[1]

Structural grading — fewer defects, higher stress Select ×1.16 — nearly clear Grade I ×1.00 — some knots Grade II ×0.84 — knots + shakes shake
DiagramThree timber planks graded by their defects — Select nearly clear, Grade I with some knots, Grade II with larger knots and shakes — fewer defects giving higher stress

A different philosophy

IS 883 designs timber to PERMISSIBLE (working) stresses — unfactored loads kept below an allowable stress that already includes a factor of safety. This is fundamentally different from the limit-state method of IS 800: no separate load and material factors.[1]

Z = M/σ, then check

Designing the beam

Size the beam from the required section modulus Z = M/σ (rectangle Z = bd²/6), then check the horizontal shear τ = 1.5V/(bd) and the deflection. With timber's low modulus, deflection frequently governs.[1]

Sizing a rectangular timber beam b d Z = b·d² / 6 required Z = M / σ depth grows with the square — a little more depth buys a lot of strength.
DiagramA rectangular timber beam cross-section of breadth b and depth d, with the section modulus Z equal to b d squared over six, sized from Z equals moment over permissible stress
Timber checks — working stress (IS 883) bending σ ≤ permissible shear τ = 1.5·V/(b·d) deflection ≤ span/360 With timber's low modulus of elasticity, the deflection check very often governs the design.
DiagramThe three timber-beam checks: bending stress within permissible, horizontal shear 1.5 V over b d, and deflection which often governs

Look it up, then modify

Read the permissible bending stress for the species, group, grade and location from IS 883 Table 1, then apply the duration-of-load factor (continuous 1.0; two months 1.15; wind/seismic 1.25; seven days 1.33; impact 2.0). The modified value is the σ you design to.[1]

Drive the numbers

Timber-beam calculator

Enter the span, load, permissible bending stress and a trial breadth; the tool returns the moment, the required section modulus and a depth, then the actual bending and shear stresses. A 3 m span at 4 kN/m needs about a 100×175 section.[1]

Timber beam · working stress (IS 883)

Simply supported UDL: M = wL²/8; required Z = M/σ; rectangle Z = bd²/6 → depth d (rounded up to 25 mm).

100 × 0 mm

Section (b × d)

0.00 kNm

Design moment M

0 ×10³ mm³

Required Z

0.00 N/mm²

Actual bending σ

0.00 N/mm²

Horizontal shear τ

Check τ and deflection against the species values — with timber's low stiffness, deflection often governs.

The contrasts

At a glance

AspectOneThe other
Design philosophySteel (IS 800): limit state, factored loads + γmTimber (IS 883): working stress, unfactored loads ≤ permissible
Material conditionSeasoned: higher permissible stress, stableUnseasoned/wet: reduced stress (outside/wet column)
GradeSelect (most stress, fewest defects)Grade II (less stress, more defects allowed)
What governsStrong short spans: bending or shearLong spans: deflection (timber's low E)
Shear stressAverage = V/(b·d)Maximum = 1.5·V/(b·d) — use this
A timber-framed roof structure — graded timber beams sized by the working-stress method.
PhotoA timber-framed roof structure — graded timber beams sized by the working-stress method.Michael Garlick · CC BY-SA 2.0 · via Wikimedia Commons
Vocabulary

Key terms

Working-stress method

Unfactored loads kept below a permissible stress that includes a safety factor (IS 883).

Strength group (A/B/C)

Species classification by modulus of elasticity and bending strength.

Structural grade

Select / Grade I / Grade II — quality class set by permitted defect limits.

Seasoning

Controlled drying to a target moisture content, which raises strength and stability.

Location factor

Inside / outside / wet exposure category that selects the permissible-stress column.

Duration-of-load factor

Multiplier raising permissible stress for short-duration loads (wind 1.25, impact 2.0).

Horizontal shear

Longitudinal shear along the grain; maximum = 1.5·V/(b·d) for a rectangle.

Section modulus (Z = bd²/6)

The bending property of a rectangular section; required Z = M/σ_permissible.

Apply it

Worked example

A simply supported timber beam, 3 m span, 4 kN/m, permissible bending stress 10 N/mm². M = wL²/8 = 4.5 kNm; required Z = 4.5×10⁶/10 = 450×10³ mm³; with b = 100, d = √(6×450e3/100) ≈ 164 mm → adopt 100×175. Then check shear τ = 1.5V/(bd) and the deflection against span/360 (or span/240).

Check your understanding

Self-assessment

1. IS 883 designs timber by which method?

2. The maximum horizontal shear stress in a rectangular timber beam is —

3. Timber-beam deflection for a member carrying brittle finishes is limited to —

In a nutshell

Recap

Timber is designed by IS 883's working-stress method — grade the wood, look up the permissible stress, keep the actual stress below it.
Strength groups (A/B/C), structural grades (Select/I/II), seasoning, location and duration-of-load factors all set the permissible stress.
Bending: required Z = M/σ, rectangle Z = bd²/6; check horizontal shear τ = 1.5V/(bd).
With timber's low modulus, deflection (span/360 or span/240) very often governs the design.
The evidence

References & further reading

  1. [1]IS 883:1994 — Design of Structural Timber in Building, Code of Practice (cl. 5, 6, 7; Table 1). Bureau of Indian Standards, New Delhi.
  2. [2]B.C. Punmia, Ashok Kumar Jain & Arun Kumar Jain, Comprehensive Design of Steel Structures / timber design notes. Laxmi Publications.
  3. [3]N. Krishna Raju, Design of Timber Structures. CBS Publishers.
  4. [4]IS 1141:1993 — Code of Practice for Seasoning of Timber. Bureau of Indian Standards.

Further reading

  • IS 883:1994 — the governing code for timber design (with worked examples in the texts below).
  • N. Krishna Raju, Design of Timber Structures.
  • B.C. Punmia et al., timber-design chapters.

Sources gathered and fact-checked June 2026. Published values vary by source, sample and method — treat as indicative and confirm against the cited standard before structural use.