📘 CodingMarble Learn

Timber Structures

A timber structure uses wooden posts and beams joined into a frame. Joints such as mortise and tenon connect the pieces. Diagonal braces stop wind from leaning the frame. Wood must be kept dry and off the ground to avoid rot, and a deep beam sags far less than a shallow one because stiffness grows with depth cubed.

🎬 Step-by-step story

  1. A timber frame: two posts stand up, a beam is on top, a sill is at the bottom and rafters go over it.
  2. Wood pieces join without nails. The post has a tenon that fits a mortise slot in the beam. A peg locks it.
  3. Wind pushes the frame sideways and it leans. A diagonal brace makes a triangle and keeps it upright.
  4. The sill sits on wet ground and rots. Lift it on a stone base and the wood stays dry.
  5. Same plank, two ways. Flat, it bends a lot. On edge, deeper, it bends very little. Double the depth, sag falls to one eighth.
  6. Free play: switch the brace and stone base, change beam depth and wind.

Tip: drag the 3D scene to turn it. Use two fingers to zoom.

🤔 Common doubts, cleared

Why can timber pieces be joined without nails?

A tenon fits tightly into a mortise and a peg locks it. Friction and the shape hold the pieces and pass the load.

Why does the frame lean when there is no brace?

The corners can turn, so the square becomes a leaning shape. A brace forms triangles that cannot change shape.

Why does the sill rot if it is on the ground?

Wet ground keeps the wood damp. Damp wood grows fungus and rots. A stone base lets water drain away.

Why does a deep beam sag less than a flat one with the same wood?

Stiffness grows with depth cubed. Putting the material far from the middle line resists bending much more.

Is a timber house safer in earthquakes?

It is light, so the shaking forces are smaller, and good joints and bracing let it move without breaking. But it needs proper design.

What is a timber structure?

A timber structure carries loads with wood. The most common types are post-and-beam (vertical posts and horizontal beams form a frame, and walls fill the gaps), light-frame (many small studs close together with sheets over them) and log (stacked logs form the walls).

A post-and-beam frame has these parts: a sill (the beam at the bottom that rests on the base), posts (vertical, mainly squeezed), beams (horizontal, bent by the load), rafters (sloping pieces under the roof) and braces (diagonals). The load path is the usual one: roof, rafters, beams, posts, base, ground.

Why timber behaves differently: grain and moisture

Wood is made of long fibres. The grain is the direction of the fibres. Wood is much stronger when loaded along the grain than across the grain, so posts and beams are cut with the grain along their length.

Wood takes up and gives out water. Moisture content = (wet mass − dry mass) ÷ dry mass × 100%. Timber used in buildings is dried first, to about 12 to 18%. Wet wood shrinks as it dries and can twist or crack. Wood that stays above about 20% moisture can rot and attract termites and fungus.

Joints

Pieces must be joined so loads pass from one to the next. In a mortise-and-tenon joint the end of one piece (tenon) fits into a hole in the other (mortise), and a wooden peg locks it. A lap joint overlaps two pieces. Dowels are round wooden pins. Modern builders also use nails, screws, bolts and metal plates.

Joints are often the weakest part of a timber structure, so they must be cut neatly and fit snugly. Cutting too much wood out of a post at the joint can weaken it.

Bracing against wind and earthquakes

A frame of posts and beams with pin-like joints can lean sideways like a pushed box. A diagonal brace turns the box into two triangles, and a triangle cannot change shape. Braces can be pushed or pulled in different directions of wind, so they are often used in pairs, one on each diagonal. Wooden walls covered with boards or panels also stiffen the frame.

Timber is light, so an earthquake produces smaller forces on a timber building than on a heavy concrete one. Good joints and bracing let it move without breaking.

Beams: why depth matters

When a beam carries a load it bends. How much it bends (its sag) depends on the span, the load, the wood and the shape of the cross-section. For a rectangle of width b and depth d, the stiffness is proportional to b × d³.

So a plank on edge (deep) is far stiffer than the same plank flat. Doubling the depth makes the beam 8 times stiffer, so the sag becomes one eighth. Doubling the width only doubles the stiffness. That is why floor joists are tall and thin.

Durability, fire and sustainability

Keep wood dry: put the sill on a stone or concrete base above the ground, add a roof overhang, let air flow and use treated wood where needed. Protect against termites with treatment and clean details.

Wood burns, but a thick timber beam chars on the outside and the inside keeps its strength for a time, and thin pieces burn faster. Fire stops, fire-resistant boards and safe distances help.

Wood stores carbon taken from the air by the tree. Timber from well-managed forests that are replanted is a renewable material with low energy use compared with steel or cement.

Try it: brace, base, depth

In the 3D, use the last step. Raise the wind to 7 with no brace and read the lean. Tick Brace and see it drop. Tick Stone base and see the sill stay dry. Set beam depth to 1, then 2, then 3, and see how fast the sag number falls.

At home: lay a ruler flat between two books and press the middle. Then stand the same ruler on its edge and press. Which bends less?

Key formulas and definitions

Worked examples

1. A piece of wood has wet mass 600 g and dry mass 500 g. Find the moisture content.

Moisture = (600 − 500) ÷ 500 × 100 = 20%. This is the upper safe limit for building timber.

2. A beam is 100 mm wide and 200 mm deep. Compare its stiffness with the same beam laid flat (200 mm wide, 100 mm deep). Use b × d³.

On edge: 100 × 200³ = 100 × 8,000,000 = 800,000,000. Flat: 200 × 100³ = 200 × 1,000,000 = 200,000,000. Ratio = 4, so on edge is 4 times stiffer.

3. A beam sags 40 mm. Its depth is doubled with the same width and load. Find the new sag.

Stiffness becomes 2³ = 8 times, so sag = 40 ÷ 8 = 5 mm.

4. Why are floor joists made tall and thin?

Stiffness grows with depth cubed but only with width once, so a tall joist gives the most stiffness for the least wood.

5. A frame leans 12 mm in a wind. A diagonal brace makes it about 8 times stiffer sideways. About how much does it lean now?

12 ÷ 8 = 1.5 mm.

6. Give two ways to stop the bottom beam (sill) of a timber house from rotting.

Raise it on a stone or concrete base so it does not touch wet ground, and keep rain off with a roof overhang and good air flow. Treated wood also helps.

Common mistakes

Practice quiz

1. Which wood direction is strongest?
2. What joint has a tongue that fits a slot?
3. What stops a frame from leaning in wind?
4. If the depth of a beam doubles, its sag becomes:
5. Moisture content is highest safe for building timber at about:

Practice: answer these yourself

Type or choose your answer, then press Check. Use a hint if you are stuck; the full solution appears after you answer.

Frequently asked questions

What is a post-and-beam structure?

A frame of vertical posts and horizontal beams joined together, with walls and roof added on or between them.

Why are joints important in timber?

Loads pass from piece to piece through the joints, and joints are often the weakest places, so they must be neat and snug.

How do I protect a wooden building from rot and termites?

Raise it on a base above the ground, keep it dry with overhangs and air flow, use treated wood where needed and inspect it often.

Where this is taught

Japan高校(専門学科)1〜3年Building Structures

Learn first

Related lessons

All Physics lessons