Module 6: Steel Tension Members

Learning Objectives

  • Determine gross, net, and effective net areas for common steel tension-member connections.
  • Evaluate gross-section yielding and effective-net-section rupture under NSCP Section 504.
  • Explain shear lag and distinguish connected area from effective area.
  • Check block shear and connection-region failure modes rather than evaluating the member in isolation.
  • Use threaded-part provisions without confusing nominal fastener area with the stress value specified for threads.
  • Translate tension-member and connection geometry into constructible architectural details.

NSCP Code Basis

Steel tension-member design is governed principally by NSCP 2015 Section 504 — Design of Members for Tension together with the connection provisions of Sections 510–511 where applicable.

Primary Tension Limit States

A tension member normally requires at least two member-level checks:

  1. Gross-section yielding — distributed yielding across the unreduced gross area.
  2. Effective-net-section rupture — fracture through a reduced section near holes or connection discontinuities.

The connection can then introduce additional limit states such as block shear, fastener shear/bearing, weld rupture, local yielding, and eccentricity.

Tension-Member Design Workflow

A complete tension design must identify every plausible net path, select the correct shear-lag case from the actual connection geometry, draw block-shear paths, and then check the connection itself.

Steel Tension-Member Design Workflow

Section, net-path, shear-lag, block-shear, connection, and serviceability sequence.

Steel Tension-Member Design WorkflowSection, net-path, shear-lag, block-shear, connection, and serviceability sequence.. Determine required tensile strength and connection force path → Check gross-section yielding; Check gross-section yielding → Enumerate plausible critical net-section paths; Enumerate plausible critical net-section paths → Which shear-lag case matches the connection geometry?; Which shear-lag case matches the connection geometry? — Centroid offset → Use permitted centroid-offset form U = 1 - x̄/l; Which shear-lag case matches the connection geometry? — Tabulated → Use the applicable section/connection-specific tabulated U case; Use permitted centroid-offset form U = 1 - x̄/l → Compute Ae = UAn and check effective-net-section rupture; Use the applicable section/connection-specific tabulated U case → Compute Ae = UAn and check effective-net-section rupture; Compute Ae = UAn and check effective-net-section rupture → Draw candidate block-shear paths and check governing path; Draw candidate block-shear paths and check governing path → Check connection and connected-material limit states; Check connection and connected-material limit states → Review slenderness, vibration, sag, and handling; Review slenderness, vibration, sag, and handling → Every member and connection limit state satisfied?; Every member and connection limit state satisfied? — Yes → Document governing tension limit state; Every member and connection limit state satisfied? — No → Revise member or connection geometry; Revise member or connection geometry → Enumerate plausible critical net-section paths

Determine required tensile strength and connection force path → Check gross-section yielding; Check gross-section yielding → Enumerate plausible critical net-section paths; Enumerate plausible critical net-section paths → Which shear-lag case matches the connection geometry?; Which shear-lag case matches the connection geometry? — Centroid offset → Use permitted centroid-offset form U = 1 - x̄/l; Which shear-lag case matches the connection geometry? — Tabulated → Use the applicable section/connection-specific tabulated U case; Use permitted centroid-offset form U = 1 - x̄/l → Compute Ae = UAn and check effective-net-section rupture; Use the applicable section/connection-specific tabulated U case → Compute Ae = UAn and check effective-net-section rupture; Compute Ae = UAn and check effective-net-section rupture → Draw candidate block-shear paths and check governing path; Draw candidate block-shear paths and check governing path → Check connection and connected-material limit states; Check connection and connected-material limit states → Review slenderness, vibration, sag, and handling; Review slenderness, vibration, sag, and handling → Every member and connection limit state satisfied?; Every member and connection limit state satisfied? — Yes → Document governing tension limit state; Every member and connection limit state satisfied? — No → Revise member or connection geometry; Revise member or connection geometry → Enumerate plausible critical net-section paths

  • Determine required tensile strength and connection force path: terminator
  • Check gross-section yielding: process
  • Enumerate plausible critical net-section paths: subprocess
  • Which shear-lag case matches the connection geometry?: decision
  • Use permitted centroid-offset form U = 1 - x̄/l: process
  • Use the applicable section/connection-specific tabulated U case: process
  • Compute Ae = UAn and check effective-net-section rupture: process
  • Draw candidate block-shear paths and check governing path: subprocess
  • Check connection and connected-material limit states: subprocess
  • Review slenderness, vibration, sag, and handling: process
  • Every member and connection limit state satisfied?: decision
  • Revise member or connection geometry: process
  • Document governing tension limit state: terminator

Gross-Section Yielding

Nominal tensile strength for yielding of the gross section.

Pn=FyAgP_n=F_yA_g

Variables

SymbolDescriptionUnit
FyF_ySpecified yield strength.-
AgA_gGross cross-sectional area.-
PnP_nNominal tensile strength for gross-section yielding.-

Effective-Net-Section Rupture

Nominal tensile strength for rupture through the effective net section.

Pn=FuAeAe=UAnP_n=F_uA_e \qquad A_e=UA_n

Variables

SymbolDescriptionUnit
FuF_uSpecified tensile strength.-
AnA_nNet area after code-required deductions.-
UUShear-lag factor for the connection configuration.-
AeA_eEffective net area.-

Convert Nominal Tension Strength to Available Strength

NSCP 2015 Chapter 5 adapts the AISC 14th Edition framework, which is based on ANSI/AISC 360-10. Within that basis, the two primary tension-member limit states use different reliability factors:

Limit stateNominal strengthLRFD design strengthASD allowable strength
Gross-section yieldingPn=FyAgP_n=F_yA_g0.90Pn0.90P_nPn/1.67P_n/1.67
Effective-net-section rupturePn=FuAeP_n=F_uA_e0.75Pn0.75P_nPn/2.00P_n/2.00

Compare required strength with the available strength for each limit state separately. Do not calculate both nominal strengths and then apply one common factor after selecting the smaller value.

Block shear and connection limit states have their own resistance/safety factors under the governing provisions and must be converted independently.

Net Area and Staggered Holes

For steel plates and shapes, a potential rupture path may pass through staggered holes. Determine the net area using the NSCP steel net-section provisions, including the stagger correction where applicable, and examine all plausible critical paths rather than only the straight line across the fewest holes.

The simulation below uses the entered code-required hole deduction width dhd_h. That input should not be confused with a universal nominal bolt diameter because the required deduction depends on the governing hole provisions.

This steel procedure must not be transferred to timber.

Illustrative Staggered Net Width

General bookkeeping form for a candidate zigzag net path through a plate; every plausible path must still be checked.

bn=b−∑dh+∑s24g,An=bntb_n=b-\sum d_h+\sum\frac{s^2}{4g}, \qquad A_n=b_nt

Variables

SymbolDescriptionUnit
bbGross plate width normal to the tensile force.in
dhd_hCode-required deduction width for each hole crossed by the candidate path.in
ssLongitudinal pitch between staggered holes.in
ggTransverse gage between staggered holes.in
bnb_nCandidate net width after deductions and applicable stagger additions.in
ttPlate thickness.in
AnA_nCandidate net area.in²

Interactive Exploration

Change plate width, thickness, hole deduction, pitch, and gage and watch the same geometry determine both candidate net paths and the calculated AgA_g and AnA_n. Reduce pitch or increase the hole deduction until the zigzag path governs; then change UU to isolate shear-lag effects on rupture. The displayed governing strength covers only gross yielding and effective-net rupture, not the separate connection checks that follow.

Steel Tension Limit-State Comparison

Concept and model scope

Compare LRFD gross-section yielding and effective-net-section rupture using plate geometry that directly determines the straight and staggered candidate net sections.

Plate width and thickness define the gross area Ag.

Hole deduction dh is the code-required deduction width used in the net-section calculation; do not interpret it as a universal nominal bolt diameter.

Pitch s and gage g control the illustrative stagger correction. The model compares one two-hole straight path with one three-hole zigzag path.

Shear lag: this plate model assumes the full section is directly connected, so U = 1.0. Connections that engage only part of a shape require the case-specific U from the governing provision and are intentionally outside this simulator.

Controls

36 ksi
58 ksi
10.00 in
0.3750 in
0.8750 in
3.00 in
2.50 in

Geometry-derived candidate net sections

s = 3.00 ing = 2.50 inGoverning illustrated path: straight
Gross yielding121.5 kips
Net-section rupture134.6 kips
Gross area Ag3.750 in²
Straight-path net width8.250 in
Staggered-path net width9.175 in
Stagger correction Σs²/4g1.800 in
Governing net area An3.094 in²
Effective net area Ae3.094 in²
Governing modeled strengthGross-section yielding · 121.5 kips
This model compares one transverse two-hole path with one three-hole zigzag path and uses U = 1.0 because the modeled plate is directly connected across its section. The drawn circles represent the entered code-required deduction width schematically, not a universal nominal bolt-hole diameter. A real member may have additional candidate paths that must also be checked. Block shear, bolt/weld strength, bearing, eccentricity, threaded parts, and other connection-region limit states remain independent checks; passing the two member limit states shown here is not complete connection design.

Shear Lag

When only part of a section is connected, stress cannot become uniform instantaneously across the full cross-section. The effective net area accounts for this shear-lag behavior. Connection length, eccentricity between connected and unconnected elements, and section type can influence UU.

Longer, more distributed connections generally reduce shear lag, but the actual factor must come from the governing NSCP provision.

Selecting the Shear-Lag Factor U

The effective net area is Ae=UAnA_e=UA_n. Determine UU from the actual connection geometry and the adopted NSCP/AISC-based case; do not assign U=1.0U=1.0 simply because the member is symmetric.

For connection cases where the code permits the centroid-offset form, the permitted relationship is

U=1−xˉl,U=1-\frac{\bar{x}}{l},

where xˉ\bar{x} is the distance from the connection plane to the member centroid and ll is the connection length in the load direction. Other connection geometries use their own tabulated/case-specific UU provisions.

Shear-Lag Case Selection

Use Ae=UAnA_e=UA_n, but select UU from the connection configuration, not from member symmetry alone.

  1. Establish which cross-sectional elements actually transmit force into the connection.
  2. If the adopted provision permits the centroid-offset expression, determine the connection length in the load direction and the centroid-to-connection-plane offset before using U=1−xˉ/lU=1-\bar{x}/l.
  3. If the geometry matches a section-specific/table case, use that case instead of forcing the centroid-offset expression onto it.
  4. If all elements are directly connected, verify the provision that permits full effective participation rather than assuming U=1.0U=1.0 automatically.
  5. Re-evaluate UU when the connection length, connected leg/flange/web, bolt pattern, weld layout, or load-transfer plane changes.

The same member can therefore have different effective net areas under two different connection details.

Block Shear

Block shear combines shear failure along one or more planes parallel to the load with tensile failure across a transverse plane. It is especially important near bolted or welded connection ends.

A member that passes gross yielding and net-section rupture is not complete until the connection region is checked for block shear where applicable. Keep block shear independent from the member-level bar comparison because its areas and failure path belong to the connection region.

Block Shear Nominal Strength

General AISC/NSCP-style block-shear form; use the adopted edition's definitions and resistance factors.

Rn=min⁡(0.60FuAnv+UbsFuAnt,  0.60FyAgv+UbsFuAnt)R_n= \min\left( 0.60F_uA_{nv}+U_{bs}F_uA_{nt}, \; 0.60F_yA_{gv}+U_{bs}F_uA_{nt} \right)

Variables

SymbolDescriptionUnit
AgvA_{gv}Gross area subject to shear along the block path.-
AnvA_{nv}Net area subject to shear along the block path.-
AntA_{nt}Net area subject to tension across the block.-
UbsU_{bs}Tension-stress distribution factor for the applicable block-shear case.-

Block-Shear Available Strength

For the AISC 360-10 / NSCP 2015 block-shear limit state, convert the governing nominal strength using

ϕ=0.75(LRFD)\phi=0.75 \qquad \text{(LRFD)}

or

Ω=2.00(ASD).\Omega=2.00 \qquad \text{(ASD)}.

Do not use the tension-yielding factor 0.900.90 for block shear. The gross-yielding, net-section rupture, block-shear, and connection checks each retain their own limit-state factors.

Block Shear Needs a Drawn Failure Path

Before substituting numbers, sketch the candidate block and label every gross/net shear plane and the net tension plane. If the path is wrong, the equation can be evaluated perfectly and still produce the wrong connection strength.

Slenderness as a Detailing and Serviceability Consideration

Very slender tension members may vibrate, sag, become difficult to handle, or experience unwanted secondary bending. Follow the NSCP user-note/recommendation applicable to tension-member slenderness rather than presenting a preferred slenderness value as a strength cutoff.

Tension-Member Slenderness Reference

For ordinary steel tension members, the AISC/NSCP design tradition treats L/r≈300L/r\approx300 as a preferred practical limit, not a strength cutoff, with exceptions such as rods and hangers. Use the adopted NSCP user note/project criteria and consider vibration, sag, handling, and secondary bending even when axial strength is adequate.

Tension-Member Completeness Checklist

A complete tension-member solution should show: gross yielding, governing net-section rupture path, shear lag/effective net area, block shear, connection bolt/weld/connected-material limit states, and any practical slenderness/serviceability requirement.

Threaded Rods and Threaded Parts

Threaded regions have reduced effective tensile resistance. Where the NSCP/AISC fastener provisions express the nominal tensile stress of a threaded part as a fraction of FuF_u, apply that specified stress to the nominal area as directed by the provision.

Avoid casually stating that the physical tensile area is always exactly 0.75Ag0.75A_g; that can be an equivalent simplification for a particular stress model but is not a universal geometric identity for threads.

Architectural Tension Systems

Tie rods, hangers, bracing, suspended canopies, exposed trusses, and cable-supported secondary systems often make tension members visually prominent. Connection eccentricity, turnbuckles or adjustment, corrosion access, vibration, fire exposure, drainage, and erection tolerances should be resolved with the architectural concept.

A very slender exposed rod may satisfy strength but still be visually or dynamically unsuitable.

Key Takeaways
  • NSCP Section 504 requires separate consideration of gross yielding and effective-net-section rupture.
  • Net area must come from the governing plausible rupture path; staggered-hole geometry can change the critical path.
  • Shear lag modifies effective net area but does not replace block shear or connection checks.
  • The steel staggered-hole net-section procedure applies to steel, not timber.
  • Threaded-part resistance should follow the specified code stress/area formulation rather than an unexplained area shortcut.
  • Architectural tension systems must coordinate strength with vibration, adjustment, corrosion, fire, connection visibility, and erection.

References