Module 2: Timber Tension and Compression Members
Learning Objectives
- Design timber tension members using gross and net-section concepts appropriate to wood.
- Avoid importing the steel staggered-hole net-area equation into timber design.
- Evaluate timber compression members using effective length, column slenderness, Euler stress, and the NSCP column-stability factor.
- Check compression perpendicular to grain and local bearing where forces enter or leave a member.
- Recognize splitting, row tear-out, group tear-out, and connection geometry as potential controlling conditions.
- Relate column proportions and connection details to architectural space, exposure, and constructability.
NSCP Code Basis
Use NSCP 2015 Section 616 — Design Provisions and Equations together with Section 617 — Sawn Lumber or the appropriate engineered-wood section. Connection-related net-section and tear-out behavior must also be coordinated with Section 619 — Timber Connectors and Fasteners.
Net section
The remaining effective wood section at a critical cross-section after deducting material removed by holes, notches, cuts, or other discontinuities as required by the governing timber provisions.
Timber Tension Members
Tension parallel to grain can be efficient in clear, straight-grained wood, but knots, slope of grain, holes, and connection zones are highly influential because timber is relatively brittle in tension parallel to grain. Evaluate the member away from connections and then review the connection region separately.
A complete tension-member review includes the applicable adjusted tension design value, gross/net section, local stress concentration introduced by connection geometry, and timber-connection failure modes.
Tension Stress Check
Basic axial stress comparison for a timber tension member using the critical code-defined area.
Variables
| Symbol | Description | Unit |
|---|---|---|
| Axial tensile force for the applicable design combination. | - | |
| Critical area after code-required deductions at the section being checked. | - | |
| Actual tensile stress parallel to grain. | - | |
| Adjusted tension design value parallel to grain. | - |
Do Not Use the Steel Stagger Correction for Timber
The familiar steel net-area term involving is not the general NSCP timber net-section rule. For timber, deduct the projected removed material and apply the timber-specific provisions for staggered fasteners and connection tear-out. Adjacent rows may have to be treated as acting at the same critical section when the code spacing condition is met.
Critical-Section Geometry
Increase the hole diameter and watch the removed strips grow in the projected section. The member is 140 mm wide with two deductions at that section; changing thickness changes both the section drawing and net area. Compare the resulting parallel-to-grain tension resistance without applying a steel stagger correction. Splitting, tear-out, fastener resistance, and minimum distances remain independent checks.
Timber Tension Connection — Critical Section Geometry
The critical timber section deducts the projected removed material and must be reviewed together with splitting, row tear-out, group tear-out, fastener resistance, and end/edge geometry. The steel stagger correction is not applied to this timber section.
Controls
Conceptual geometry only; actual hole size, spacing, end/edge distances, stagger treatment, and tear-out checks must follow NSCP Sections 616–619 for the selected timber connection.
Connection-Region Failure Modes in Tension
The member can be adequate in simple axial stress yet fail at the connection. Review net-section tension, local crushing/bearing, row tear-out, group tear-out, splitting perpendicular to grain, fastener strength, and any eccentricity introduced by one-sided connection geometry.
Architecturally exposed knife plates or side plates should be detailed to avoid placing large tension perpendicular to grain near a member end.
Effective column length
The idealized buckling length used to represent the member length and end-restraint condition in the stability calculation.
Selecting the Effective-Length Factor K
For mechanics and preliminary design checks, the following idealized end conditions provide useful reference values. They describe perfect boundary conditions, not automatically the restraint of a real timber frame.
How to use the table: the theoretical values explain Euler buckling behavior. For design, use the effective-length procedure permitted by the adopted NSCP/NDS basis; where Appendix G's ideal-condition approximation is used, prefer the recommended design values rather than automatically taking the lower theoretical values. Partial rotational restraint, frame sidesway, weak surrounding members, or uncertain bracing can require a larger .
K Is a Structural-System Assumption
The same physical column can have different effective lengths about its two axes because the surrounding walls, beams, diaphragms, braces, and connections may restrain the directions differently. State the assumed end condition and for each axis in the calculation.
Timber Compression Members
A short stocky member may be governed primarily by crushing parallel to grain; a slender member is increasingly governed by instability. NSCP timber design represents this transition through the column-stability procedure rather than by using unrelated short/intermediate/long-column equations as competing design methods.
What short, intermediate, and long mean
These are behavioral classifications, not three separate NSCP design equations:
There is no single universal number that separates all three behavioral labels for every wood product. The code procedure uses the unified equation across the permitted range.
Build the Adjusted Axial Values Before Checking the Member
The axial formulas in this module require property-specific adjusted values, not an unexplained or copied from a previous example.
For sawn lumber in ASD:
For compression parallel to grain, first form the pre-stability value
and the stability modulus
Only after the effective-length and slenderness checks are complete should the column-stability factor be applied:
For local bearing,
with included only when the bearing geometry satisfies the provision that permits the bearing-area adjustment. Do not use for compression perpendicular to grain merely because the surrounding load combination contains a short-duration load.
Axial Design Values Must Match the Governing Load Combination
When several ASD load combinations are checked, can change between combinations. Re-form or for the combination being evaluated rather than carrying one adjusted value through every load case. Moisture, temperature, incising, and size conditions may remain constant, but load duration is tied to the governing combination.
Timber Axial-Member Design Workflow
The workflow separates tension, compression stability, and local bearing so the correct adjusted property is formed before each member or connection-region check.
Timber Axial-Member Design Workflow
Complete tension, compression, bearing, stability, and connection sequence for timber axial members.
Determine axial demand, load path, and governing load combination → Primary action?; Primary action? — Bearing → Bearing: form Fc⊥′ and apply Cb only when permitted; Primary action? — Tension → Tension: form Ft′ using applicable factor chain; Primary action? — Compression → Compression: form Fc* before CP and form Emin′ for stability; Bearing: form Fc⊥′ and apply Cb only when permitted → Check connection, splitting, and hardware; Tension: form Ft′ using applicable factor chain → Determine gross/net section and connection paths; Determine gross/net section and connection paths → Check connection, splitting, and hardware; Compression: form Fc* before CP and form Emin′ for stability → Establish K, effective length, and Le/d; Establish K, effective length, and Le/d → Within column-slenderness limit?; Within column-slenderness limit? — No → Revise section or bracing restraint; Within column-slenderness limit? — Yes → Compute FcE, CP, and Fc′; Revise section or bracing restraint → Compression: form Fc* before CP and form Emin′ for stability; Compute FcE, CP, and Fc′ → Check connection, splitting, and hardware; Check connection, splitting, and hardware → Member, stability, bearing, and connection pass?; Member, stability, bearing, and connection pass? — Yes → Document governing utilization; Member, stability, bearing, and connection pass? — No → Revise section, restraint, bearing, or detail; Revise section, restraint, bearing, or detail → Primary action?
- Determine axial demand, load path, and governing load combination: terminator
- Primary action?: decision
- Bearing: form Fc⊥′ and apply Cb only when permitted: process
- Tension: form Ft′ using applicable factor chain: process
- Determine gross/net section and connection paths: subprocess
- Compression: form Fc* before CP and form Emin′ for stability: process
- Establish K, effective length, and Le/d: subprocess
- Within column-slenderness limit?: decision
- Compute FcE, CP, and Fc′: process
- Revise section or bracing restraint: process
- Check connection, splitting, and hardware: subprocess
- Member, stability, bearing, and connection pass?: decision
- Revise section, restraint, bearing, or detail: process
- Document governing utilization: terminator
Solid-Column Slenderness Limit
For the solid rectangular-column procedure used here, the governing slenderness ratio must satisfy
Check this limit about both principal directions before calculating the final column resistance. A geometry outside the permitted range is not made acceptable merely because the algebra returns a positive or .
Column Slenderness Ratio
Slenderness measure for a rectangular timber column about the axis being evaluated.
Variables
| Symbol | Description | Unit |
|---|---|---|
| Effective-length factor representing end restraint. | - | |
| Unsupported member length. | - | |
| Cross-sectional dimension associated with buckling about the axis checked. | - | |
| Effective column length. | - |
Timber Euler Buckling Stress
Euler-type reference stress used by the NSCP/NDS column-stability procedure.
Variables
| Symbol | Description | Unit |
|---|---|---|
| Adjusted minimum modulus of elasticity applicable to column stability. | - | |
| Column slenderness ratio for the axis being checked. | - | |
| Reference elastic buckling stress used in the column-stability equation. | - |
Column Constant c by Product Family
The stability equation includes the product constant . The commonly used NDS-family values associated with the NSCP wood framework are:
Use the value corresponding to the actual product and adopted code provision. Do not leave simply because the first worked example used sawn lumber.
Column Stability Factor
Unified stability-factor form used to reduce the compression design value as slenderness increases.
Variables
| Symbol | Description | Unit |
|---|---|---|
| Column stability factor. | - | |
| Compression design value with the factors that precede the column-stability adjustment. | - | |
| Euler buckling reference stress. | - | |
| Material/product constant specified by the governing timber provisions. | - |
Adjusted Compression Design Value
Final compression value after column stability is applied.
Variables
| Symbol | Description | Unit |
|---|---|---|
| Adjusted compression design value parallel to grain. | - | |
| Compression value before the column-stability factor. | - | |
| Column stability factor. | - |
Interactive Exploration
Increase effective length while holding the section fixed: the Euler design stress falls with the square of effective length, reducing the column-stability factor and modeled axial resistance. Swap width and depth to see the governing direction change. The resistance is withheld outside the modeled slenderness limit; a positive computed stress alone does not make that geometry acceptable. Reset restores the initial sawn-lumber case.
Controls
Idealized K presets
These presets are the NDS Appendix G recommended design values for commonly approximated ideal conditions. The corresponding theoretical Euler values are 0.50, 0.70, 1.00, and 2.00.
Column constant c
Use the product family permitted by the adopted timber provision.
Cross-section · physical scale
Elevation · physical scale
Product constant c
Check Both Buckling Axes
For a rectangular or built-up column, compute stability about both principal directions. The smaller cross-sectional dimension often produces the larger slenderness ratio, but bracing conditions can change the governing effective length. Do not assume the weak geometric axis automatically governs without checking for both directions.
Compression Perpendicular to Grain and Bearing
Timber is much more deformable perpendicular to grain than parallel to grain. Beam seats, column caps, sill plates, and concentrated reactions therefore require a local bearing check using the applicable adjusted compression-perpendicular design value and bearing-area provisions.
Bearing deformation can also be an architectural/serviceability issue where exposed framing must remain aligned with partitions, glazing, or finish tolerances.
Bearing-Area Factor Cb
For sawn-lumber compression perpendicular to grain, the NDS-family bearing-area increase is limited to small interior bearing areas. For a bearing length located at least from the member end, the permitted factor is
with in inches. The direct metric equivalent uses in place of .
Do not apply to a bearing at the member end, to a bearing or longer, or outside the provision's scope. In those cases, use unless another governing product provision explicitly states otherwise.
Bearing Stress
Average compression-perpendicular stress over the effective bearing area.
Variables
| Symbol | Description | Unit |
|---|---|---|
| Reaction or force transferred through the bearing interface. | - | |
| Code-defined effective bearing area. | - | |
| Actual compression stress perpendicular to grain. | - | |
| Adjusted compression-perpendicular design value. | - |
Architectural Column Decisions
Column size is not determined by area alone. Increasing the dimension about the weak buckling direction can be more efficient than simply adding the same amount of material elsewhere. In exposed timber, this affects visual proportion, bay planning, wall integration, connection concealment, fire-exposed sacrificial section, and the space needed for steel plates or fasteners.
- Timber tension design uses timber-specific net-section and connection provisions; the steel stagger correction is not a general timber rule.
- Compression-member design should use the NSCP column-stability procedure consistently, with , , and .
- Check column stability about every relevant axis and respect the code slenderness applicability limits.
- Local bearing and compression perpendicular to grain can govern beam seats, column caps, sill plates, and connection regions.
- Member strength and connection-zone failure modes must be checked together for a review-ready timber design.
References
- Association of Structural Engineers of the Philippines (ASEP) — National Structural Code of the Philippines, C101-15, Volume I, Seventh Edition (2015) — Governing course reference for timber tension, compression, bearing, stability, and connection-region checks; consult the official licensed code for complete Sections 615–619 provisions.
- American Wood Council — 2015 NDS package — External technical cross-check for column stability, product constants, and timber design-value provenance; NSCP 2015 remains the governing course basis.