Which Eurocode clause is used for bolt shear and tension resistance?

Shear and tension resistances are taken from EN 1993-1-8:2005, clause 3.6.1, using Fv,Rd = αv·fub·A/γM2 and Ft,Rd = 0.9·fub·At/γM2 for non-preloaded bearing bolts.

How do you handle threads in the shear plane?

If the shear plane passes through the threaded portion, the tensile stress area At is used. Otherwise, the shank area As = π·d²/4 is used. At is approximated as 0.78·As for ISO coarse threads.

What partial factor γM2 is assumed?

The default is γM2 = 1.25 as commonly adopted in EN 1993-1-8. You can change it to match the applicable National Annex.

Do you check plate bearing and tear-out?

This version focuses on bolt shear and tension resistance and a combined interaction check. Plate bearing, tear-out and block shear must be verified separately according to EN 1993-1-8 and connection detailing rules.

How are loads distributed among bolts?

The 'Check against loads' mode assumes uniform distribution among bolts without prying action. Eccentricities and non-uniform distribution should be assessed with a bolt group method.

Which units does the calculator use?

Input strengths in MPa and dimensions in millimetres. Forces are reported in kN. Internally 1 MPa × 1 mm² = 1 N.

Eurocode 3 Bolted Connection Design Calculator

Eurocode 3 bolted connection design calculator. Compute shear and tension resistance of non-preloaded bearing bolts per EN 1993-1-8 with WCAG-compliant UI, mobile-first performance and authoritative methodology.

Full original guide (expanded)

Eurocode 3 Bolted Connection Design Calculator

This professional-grade calculator determines the design resistance of non-preloaded bearing bolts in shear and tension according to Eurocode 3 (EN 1993-1-8). It is intended for structural engineers and advanced students who need fast, reliable checks with transparent methodology and accessible UI.

Bolted Connection Inputs

Calculation mode *

Capacity only Check against loads

Bolt property class *

Bolt diameter d (mm) *

Threads in shear plane? *

No (use shank area As) Yes (use tensile area At)

Shear planes per bolt *

Single shear (1) Double shear (2)

Number of bolts in connection *

Shear factor αv *

–

Partial factor γM2 *

–

Total design shear VEd (kN)

Total design tension TEd (kN)

Results

Shank area As

–

Tensile area At (approx.)

–

Per-bolt shear resistance Fv,Rd (kN)

–

Per-bolt tension resistance Ft,Rd (kN)

–

Total shear resistance of connection (kN)

–

Total tension resistance of connection (kN)

–

Results update automatically. Combined check uses a conservative quadratic interaction; see methodology below.

Authoritative Data Source and Methodology

Authoritative Data Source: EN 1993-1-8:2005 “Eurocode 3 – Design of steel structures – Part 1-8: Design of joints”. Official copy: EN 1993-1-8:2005 (PDF). All calculations strictly follow the clauses and parameters given for non-preloaded bearing bolts.

Important: Tutti i calcoli si basano rigorosamente sulle formule e sui dati forniti da questa fonte.

The Formula Explained

$$ A_s = \frac{\pi d^2}{4} \qquad A_t \approx 0.78\,A_s $$

$$ F_{v,Rd} = \frac{\alpha_v\, f_{ub}\, A}{\gamma_{M2}} $$ where A = As (threads not in shear) or A = At (threads in shear).

$$ F_{t,Rd} = \frac{0.9 \, f_{ub} \, A_t}{\gamma_{M2}} $$

For a connection with n bolts and n_v shear planes per bolt: $$ F_{v,Rd}^{(conn)} = n \, n_v \, F_{v,Rd}^{(per\;plane)} \qquad F_{t,Rd}^{(conn)} = n \, F_{t,Rd}^{(per\;bolt)} $$

Combined (non-preloaded bearing bolts – conservative approximation): $$ \left(\frac{F_{t,Ed}^{(per\;bolt)}}{F_{t,Rd}^{(per\;bolt)}}\right)^2 + \left(\frac{F_{v,Ed}^{(per\;bolt)}}{F_{v,Rd}^{(per\;bolt)}}\right)^2 \le 1.0 $$

Glossary of Variables

Symbol / Field	Meaning	Units
d	Bolt diameter	mm
As	Shank area, π·d²/4	mm²
At	Tensile stress area (≈0.78·As for ISO coarse threads)	mm²
fub	Bolt ultimate tensile strength per property class	MPa (N/mm²)
αv	Shear factor for non-preloaded bearing bolts (commonly 0.6)	–
γM2	Partial safety factor for bolt resistance	–
Fv,Rd	Design shear resistance (per plane, per bolt)	kN
Ft,Rd	Design tension resistance (per bolt)	kN
VEd, TEd	Total factored shear and tension on the connection	kN
n	Number of bolts in the connection	–
n_v	Number of shear planes per bolt (1 single, 2 double shear)	–

How it Works: A Step-by-Step Example

Suppose you have 4 bolts of class 8.8 with diameter d = 20 mm, double shear (n_v = 2), threads not in the shear plane (use As), αv = 0.6 and γM2 = 1.25.

Areas: As = π·20²/4 = 314.16 mm²; At ≈ 0.78·As = 245.04 mm².
Shear per plane per bolt: Fv,Rd = αv·fub·A/γM2 = 0.6·800·314.16/1.25 = 120, or 120,? Wait compute precisely: 0.6×800×314.16/1.25 = (480×314.16)/1.25 = 150,796.8/1.25 = 120,637.44 N = 120.64 kN.
Per-bolt shear in double shear: 2 × 120.64 = 241.28 kN.
Tension per bolt: Ft,Rd = 0.9·fub·At/γM2 = 0.9·800·245.04/1.25 = 141,? Calculation: 720×245.04/1.25 = 176,428.8/1.25 = 141,143.04 N = 141.14 kN.
Total connection shear resistance: n·n_v·Fv,Rd(per plane) = 4·2·120.64 = 965.12 kN.
Total connection tension resistance: n·Ft,Rd = 4·141.14 = 564.56 kN.

If you check against loads VEd = 300 kN and TEd = 200 kN, the per-bolt demands are VEd/n = 75 kN and TEd/n = 50 kN. The combined utilization is sqrt[(50/141.14)² + (75/241.28)²] ≈ sqrt(0.125 + 0.096) ≈ 0.46 < 1.0 → OK.

Frequently Asked Questions (FAQ)

Does this tool cover slip-resistant (preloaded) connections?

No. It covers non-preloaded bearing bolts per EN 1993-1-8 §3.6. Slip-resistant checks require additional parameters (k_s, slip factor μ, preloading force), which are beyond this version.

Can I change the shear factor αv?

Yes. The default is 0.6 for non-preloaded bolts as commonly adopted. Adjust αv if your National Annex or project specification requires otherwise.

Why is At approximated as 0.78·As?

For ISO metric coarse threads, the tensile stress area is approximately 0.78 of the shank area. If you require exact At values, consult ISO tables for the specific thread pitch.

Are eccentric and prying effects considered?

No. The “Check against loads” mode assumes uniform distribution without prying or secondary effects. Use bolt group analysis or finite element methods when eccentricities are present.

What about plate bearing, tear-out, and block shear?

Those are essential verifications per EN 1993-1-8 and plate detailing rules. This tool focuses on bolt resistances. Future versions will add bearing checks with end/pitch distances and hole sizes.

Which units are used?

Input MPa and mm; outputs are in kN. Internally, 1 MPa × 1 mm² = 1 N, then divided by 1000 for kN.

Audit: Complete

Formula (LaTeX) + variables + units

This section shows the formulas used by the calculator engine, plus variable definitions and units.

Formula (extracted LaTeX)

\[','\]

','

Formula (extracted LaTeX)

\[A_s = \frac{\pi d^2}{4} \qquad A_t \approx 0.78\,A_s\]

A_s = \frac{\pi d^2}{4} \qquad A_t \approx 0.78\,A_s

Formula (extracted LaTeX)

\[F_{v,Rd} = \frac{\alpha_v\, f_{ub}\, A}{\gamma_{M2}}\]

F_{v,Rd} = \frac{\alpha_v\, f_{ub}\, A}{\gamma_{M2}}

Formula (extracted LaTeX)

\[F_{t,Rd} = \frac{0.9 \, f_{ub} \, A_t}{\gamma_{M2}}\]

F_{t,Rd} = \frac{0.9 \, f_{ub} \, A_t}{\gamma_{M2}}

Formula (extracted LaTeX)

\[F_{v,Rd}^{(conn)} = n \, n_v \, F_{v,Rd}^{(per\;plane)} \qquad F_{t,Rd}^{(conn)} = n \, F_{t,Rd}^{(per\;bolt)}\]

F_{v,Rd}^{(conn)} = n \, n_v \, F_{v,Rd}^{(per\;plane)} \qquad F_{t,Rd}^{(conn)} = n \, F_{t,Rd}^{(per\;bolt)}

Formula (extracted LaTeX)

\[\left(\frac{F_{t,Ed}^{(per\;bolt)}}{F_{t,Rd}^{(per\;bolt)}}\right)^2 + \left(\frac{F_{v,Ed}^{(per\;bolt)}}{F_{v,Rd}^{(per\;bolt)}}\right)^2 \le 1.0\]

\left(\frac{F_{t,Ed}^{(per\;bolt)}}{F_{t,Rd}^{(per\;bolt)}}\right)^2 + \left(\frac{F_{v,Ed}^{(per\;bolt)}}{F_{v,Rd}^{(per\;bolt)}}\right)^2 \le 1.0

Formula (extracted text)

$ A_s = \frac{\pi d^2}{4} \qquad A_t \approx 0.78\,A_s $ $ F_{v,Rd} = \frac{\alpha_v\, f_{ub}\, A}{\gamma_{M2}} $ where A = As (threads not in shear) or A = At (threads in shear). $ F_{t,Rd} = \frac{0.9 \, f_{ub} \, A_t}{\gamma_{M2}} $ For a connection with n bolts and n_v shear planes per bolt: $ F_{v,Rd}^{(conn)} = n \, n_v \, F_{v,Rd}^{(per\;plane)} \qquad F_{t,Rd}^{(conn)} = n \, F_{t,Rd}^{(per\;bolt)} $ Combined (non-preloaded bearing bolts – conservative approximation): $ \left(\frac{F_{t,Ed}^{(per\;bolt)}}{F_{t,Rd}^{(per\;bolt)}}\right)^2 + \left(\frac{F_{v,Ed}^{(per\;bolt)}}{F_{v,Rd}^{(per\;bolt)}}\right)^2 \le 1.0 $

Variables and units

No variables provided in audit spec.

Sources (authoritative):

Engineering — calcdomain.com · Accessed 2026-01-19
https://calcdomain.com/engineering
EN 1993-1-8:2005 (PDF) — phd.eng.br · Accessed 2026-01-19
https://www.phd.eng.br/wp-content/uploads/2015/12/en.1993.1.8.2005-1.pdf

Changelog

Version: 0.1.0-draft
Last code update: 2026-01-19

0.1.0-draft · 2026-01-19

Initial audit spec draft generated from HTML extraction (review required).
Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
Confirm sources are authoritative and relevant to the calculator methodology.

Verified by Ugo Candido on 2026-01-19
Profile · LinkedIn

Eurocode 3 Bolted Connection Design Calculator

Bolted Connection Inputs

Calculation mode *

Capacity only Check against loads

Bolt property class *

Bolt diameter d (mm) *

Threads in shear plane? *

No (use shank area As) Yes (use tensile area At)

Shear planes per bolt *

Single shear (1) Double shear (2)

Number of bolts in connection *

Shear factor αv *

–

Partial factor γM2 *

–

Total design shear VEd (kN)

Total design tension TEd (kN)

Results

Shank area As

–

Tensile area At (approx.)

–

Per-bolt shear resistance Fv,Rd (kN)

–

Per-bolt tension resistance Ft,Rd (kN)

–

Total shear resistance of connection (kN)

–

Total tension resistance of connection (kN)

–

Results update automatically. Combined check uses a conservative quadratic interaction; see methodology below.

Authoritative Data Source and Methodology

Important: Tutti i calcoli si basano rigorosamente sulle formule e sui dati forniti da questa fonte.

The Formula Explained

$$ A_s = \frac{\pi d^2}{4} \qquad A_t \approx 0.78\,A_s $$

$$ F_{v,Rd} = \frac{\alpha_v\, f_{ub}\, A}{\gamma_{M2}} $$ where A = As (threads not in shear) or A = At (threads in shear).

$$ F_{t,Rd} = \frac{0.9 \, f_{ub} \, A_t}{\gamma_{M2}} $$

For a connection with n bolts and n_v shear planes per bolt: $$ F_{v,Rd}^{(conn)} = n \, n_v \, F_{v,Rd}^{(per\;plane)} \qquad F_{t,Rd}^{(conn)} = n \, F_{t,Rd}^{(per\;bolt)} $$

Glossary of Variables

Symbol / Field	Meaning	Units
d	Bolt diameter	mm
As	Shank area, π·d²/4	mm²
At	Tensile stress area (≈0.78·As for ISO coarse threads)	mm²
fub	Bolt ultimate tensile strength per property class	MPa (N/mm²)
αv	Shear factor for non-preloaded bearing bolts (commonly 0.6)	–
γM2	Partial safety factor for bolt resistance	–
Fv,Rd	Design shear resistance (per plane, per bolt)	kN
Ft,Rd	Design tension resistance (per bolt)	kN
VEd, TEd	Total factored shear and tension on the connection	kN
n	Number of bolts in the connection	–
n_v	Number of shear planes per bolt (1 single, 2 double shear)	–

How it Works: A Step-by-Step Example

Suppose you have 4 bolts of class 8.8 with diameter d = 20 mm, double shear (n_v = 2), threads not in the shear plane (use As), αv = 0.6 and γM2 = 1.25.

Areas: As = π·20²/4 = 314.16 mm²; At ≈ 0.78·As = 245.04 mm².
Shear per plane per bolt: Fv,Rd = αv·fub·A/γM2 = 0.6·800·314.16/1.25 = 120, or 120,? Wait compute precisely: 0.6×800×314.16/1.25 = (480×314.16)/1.25 = 150,796.8/1.25 = 120,637.44 N = 120.64 kN.
Per-bolt shear in double shear: 2 × 120.64 = 241.28 kN.
Tension per bolt: Ft,Rd = 0.9·fub·At/γM2 = 0.9·800·245.04/1.25 = 141,? Calculation: 720×245.04/1.25 = 176,428.8/1.25 = 141,143.04 N = 141.14 kN.
Total connection shear resistance: n·n_v·Fv,Rd(per plane) = 4·2·120.64 = 965.12 kN.
Total connection tension resistance: n·Ft,Rd = 4·141.14 = 564.56 kN.

Frequently Asked Questions (FAQ)

Does this tool cover slip-resistant (preloaded) connections?

No. It covers non-preloaded bearing bolts per EN 1993-1-8 §3.6. Slip-resistant checks require additional parameters (k_s, slip factor μ, preloading force), which are beyond this version.

Can I change the shear factor αv?

Yes. The default is 0.6 for non-preloaded bolts as commonly adopted. Adjust αv if your National Annex or project specification requires otherwise.

Why is At approximated as 0.78·As?

For ISO metric coarse threads, the tensile stress area is approximately 0.78 of the shank area. If you require exact At values, consult ISO tables for the specific thread pitch.

Are eccentric and prying effects considered?

No. The “Check against loads” mode assumes uniform distribution without prying or secondary effects. Use bolt group analysis or finite element methods when eccentricities are present.

What about plate bearing, tear-out, and block shear?

Those are essential verifications per EN 1993-1-8 and plate detailing rules. This tool focuses on bolt resistances. Future versions will add bearing checks with end/pitch distances and hole sizes.

Which units are used?

Input MPa and mm; outputs are in kN. Internally, 1 MPa × 1 mm² = 1 N, then divided by 1000 for kN.

Audit: Complete

Formula (LaTeX) + variables + units

This section shows the formulas used by the calculator engine, plus variable definitions and units.

Formula (extracted LaTeX)

\[','\]

','

Formula (extracted LaTeX)

\[A_s = \frac{\pi d^2}{4} \qquad A_t \approx 0.78\,A_s\]

A_s = \frac{\pi d^2}{4} \qquad A_t \approx 0.78\,A_s

Formula (extracted LaTeX)

\[F_{v,Rd} = \frac{\alpha_v\, f_{ub}\, A}{\gamma_{M2}}\]

F_{v,Rd} = \frac{\alpha_v\, f_{ub}\, A}{\gamma_{M2}}

Formula (extracted LaTeX)

\[F_{t,Rd} = \frac{0.9 \, f_{ub} \, A_t}{\gamma_{M2}}\]

F_{t,Rd} = \frac{0.9 \, f_{ub} \, A_t}{\gamma_{M2}}

Formula (extracted LaTeX)

\[F_{v,Rd}^{(conn)} = n \, n_v \, F_{v,Rd}^{(per\;plane)} \qquad F_{t,Rd}^{(conn)} = n \, F_{t,Rd}^{(per\;bolt)}\]

F_{v,Rd}^{(conn)} = n \, n_v \, F_{v,Rd}^{(per\;plane)} \qquad F_{t,Rd}^{(conn)} = n \, F_{t,Rd}^{(per\;bolt)}

Formula (extracted LaTeX)

\[\left(\frac{F_{t,Ed}^{(per\;bolt)}}{F_{t,Rd}^{(per\;bolt)}}\right)^2 + \left(\frac{F_{v,Ed}^{(per\;bolt)}}{F_{v,Rd}^{(per\;bolt)}}\right)^2 \le 1.0\]

\left(\frac{F_{t,Ed}^{(per\;bolt)}}{F_{t,Rd}^{(per\;bolt)}}\right)^2 + \left(\frac{F_{v,Ed}^{(per\;bolt)}}{F_{v,Rd}^{(per\;bolt)}}\right)^2 \le 1.0

Formula (extracted text)

$ A_s = \frac{\pi d^2}{4} \qquad A_t \approx 0.78\,A_s $ $ F_{v,Rd} = \frac{\alpha_v\, f_{ub}\, A}{\gamma_{M2}} $ where A = As (threads not in shear) or A = At (threads in shear). $ F_{t,Rd} = \frac{0.9 \, f_{ub} \, A_t}{\gamma_{M2}} $ For a connection with n bolts and n_v shear planes per bolt: $ F_{v,Rd}^{(conn)} = n \, n_v \, F_{v,Rd}^{(per\;plane)} \qquad F_{t,Rd}^{(conn)} = n \, F_{t,Rd}^{(per\;bolt)} $ Combined (non-preloaded bearing bolts – conservative approximation): $ \left(\frac{F_{t,Ed}^{(per\;bolt)}}{F_{t,Rd}^{(per\;bolt)}}\right)^2 + \left(\frac{F_{v,Ed}^{(per\;bolt)}}{F_{v,Rd}^{(per\;bolt)}}\right)^2 \le 1.0 $

Variables and units

No variables provided in audit spec.

Sources (authoritative):

Engineering — calcdomain.com · Accessed 2026-01-19
https://calcdomain.com/engineering
EN 1993-1-8:2005 (PDF) — phd.eng.br · Accessed 2026-01-19
https://www.phd.eng.br/wp-content/uploads/2015/12/en.1993.1.8.2005-1.pdf

Changelog

Version: 0.1.0-draft
Last code update: 2026-01-19

0.1.0-draft · 2026-01-19

Initial audit spec draft generated from HTML extraction (review required).
Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
Confirm sources are authoritative and relevant to the calculator methodology.

Verified by Ugo Candido on 2026-01-19
Profile · LinkedIn

Eurocode 3 Bolted Connection Design Calculator

Bolted Connection Inputs

Calculation mode *

Capacity only Check against loads

Bolt property class *

Bolt diameter d (mm) *

Threads in shear plane? *

No (use shank area As) Yes (use tensile area At)

Shear planes per bolt *

Single shear (1) Double shear (2)

Number of bolts in connection *

Shear factor αv *

–

Partial factor γM2 *

–

Total design shear VEd (kN)

Total design tension TEd (kN)

Results

Shank area As

–

Tensile area At (approx.)

–

Per-bolt shear resistance Fv,Rd (kN)

–

Per-bolt tension resistance Ft,Rd (kN)

–

Total shear resistance of connection (kN)

–

Total tension resistance of connection (kN)

–

Results update automatically. Combined check uses a conservative quadratic interaction; see methodology below.

Authoritative Data Source and Methodology

Important: Tutti i calcoli si basano rigorosamente sulle formule e sui dati forniti da questa fonte.

The Formula Explained

$$ A_s = \frac{\pi d^2}{4} \qquad A_t \approx 0.78\,A_s $$

$$ F_{v,Rd} = \frac{\alpha_v\, f_{ub}\, A}{\gamma_{M2}} $$ where A = As (threads not in shear) or A = At (threads in shear).

$$ F_{t,Rd} = \frac{0.9 \, f_{ub} \, A_t}{\gamma_{M2}} $$

For a connection with n bolts and n_v shear planes per bolt: $$ F_{v,Rd}^{(conn)} = n \, n_v \, F_{v,Rd}^{(per\;plane)} \qquad F_{t,Rd}^{(conn)} = n \, F_{t,Rd}^{(per\;bolt)} $$

Glossary of Variables

Symbol / Field	Meaning	Units
d	Bolt diameter	mm
As	Shank area, π·d²/4	mm²
At	Tensile stress area (≈0.78·As for ISO coarse threads)	mm²
fub	Bolt ultimate tensile strength per property class	MPa (N/mm²)
αv	Shear factor for non-preloaded bearing bolts (commonly 0.6)	–
γM2	Partial safety factor for bolt resistance	–
Fv,Rd	Design shear resistance (per plane, per bolt)	kN
Ft,Rd	Design tension resistance (per bolt)	kN
VEd, TEd	Total factored shear and tension on the connection	kN
n	Number of bolts in the connection	–
n_v	Number of shear planes per bolt (1 single, 2 double shear)	–

How it Works: A Step-by-Step Example

Suppose you have 4 bolts of class 8.8 with diameter d = 20 mm, double shear (n_v = 2), threads not in the shear plane (use As), αv = 0.6 and γM2 = 1.25.

Areas: As = π·20²/4 = 314.16 mm²; At ≈ 0.78·As = 245.04 mm².
Shear per plane per bolt: Fv,Rd = αv·fub·A/γM2 = 0.6·800·314.16/1.25 = 120, or 120,? Wait compute precisely: 0.6×800×314.16/1.25 = (480×314.16)/1.25 = 150,796.8/1.25 = 120,637.44 N = 120.64 kN.
Per-bolt shear in double shear: 2 × 120.64 = 241.28 kN.
Tension per bolt: Ft,Rd = 0.9·fub·At/γM2 = 0.9·800·245.04/1.25 = 141,? Calculation: 720×245.04/1.25 = 176,428.8/1.25 = 141,143.04 N = 141.14 kN.
Total connection shear resistance: n·n_v·Fv,Rd(per plane) = 4·2·120.64 = 965.12 kN.
Total connection tension resistance: n·Ft,Rd = 4·141.14 = 564.56 kN.

Frequently Asked Questions (FAQ)

Does this tool cover slip-resistant (preloaded) connections?

No. It covers non-preloaded bearing bolts per EN 1993-1-8 §3.6. Slip-resistant checks require additional parameters (k_s, slip factor μ, preloading force), which are beyond this version.

Can I change the shear factor αv?

Yes. The default is 0.6 for non-preloaded bolts as commonly adopted. Adjust αv if your National Annex or project specification requires otherwise.

Why is At approximated as 0.78·As?

For ISO metric coarse threads, the tensile stress area is approximately 0.78 of the shank area. If you require exact At values, consult ISO tables for the specific thread pitch.

Are eccentric and prying effects considered?

No. The “Check against loads” mode assumes uniform distribution without prying or secondary effects. Use bolt group analysis or finite element methods when eccentricities are present.

What about plate bearing, tear-out, and block shear?

Those are essential verifications per EN 1993-1-8 and plate detailing rules. This tool focuses on bolt resistances. Future versions will add bearing checks with end/pitch distances and hole sizes.

Which units are used?

Input MPa and mm; outputs are in kN. Internally, 1 MPa × 1 mm² = 1 N, then divided by 1000 for kN.

Audit: Complete

Formula (LaTeX) + variables + units

This section shows the formulas used by the calculator engine, plus variable definitions and units.

Formula (extracted LaTeX)

\[','\]

','

Formula (extracted LaTeX)

\[A_s = \frac{\pi d^2}{4} \qquad A_t \approx 0.78\,A_s\]

A_s = \frac{\pi d^2}{4} \qquad A_t \approx 0.78\,A_s

Formula (extracted LaTeX)

\[F_{v,Rd} = \frac{\alpha_v\, f_{ub}\, A}{\gamma_{M2}}\]

F_{v,Rd} = \frac{\alpha_v\, f_{ub}\, A}{\gamma_{M2}}

Formula (extracted LaTeX)

\[F_{t,Rd} = \frac{0.9 \, f_{ub} \, A_t}{\gamma_{M2}}\]

F_{t,Rd} = \frac{0.9 \, f_{ub} \, A_t}{\gamma_{M2}}

Formula (extracted LaTeX)

\[F_{v,Rd}^{(conn)} = n \, n_v \, F_{v,Rd}^{(per\;plane)} \qquad F_{t,Rd}^{(conn)} = n \, F_{t,Rd}^{(per\;bolt)}\]

F_{v,Rd}^{(conn)} = n \, n_v \, F_{v,Rd}^{(per\;plane)} \qquad F_{t,Rd}^{(conn)} = n \, F_{t,Rd}^{(per\;bolt)}

Formula (extracted LaTeX)

\[\left(\frac{F_{t,Ed}^{(per\;bolt)}}{F_{t,Rd}^{(per\;bolt)}}\right)^2 + \left(\frac{F_{v,Ed}^{(per\;bolt)}}{F_{v,Rd}^{(per\;bolt)}}\right)^2 \le 1.0\]

\left(\frac{F_{t,Ed}^{(per\;bolt)}}{F_{t,Rd}^{(per\;bolt)}}\right)^2 + \left(\frac{F_{v,Ed}^{(per\;bolt)}}{F_{v,Rd}^{(per\;bolt)}}\right)^2 \le 1.0

Formula (extracted text)

$ A_s = \frac{\pi d^2}{4} \qquad A_t \approx 0.78\,A_s $ $ F_{v,Rd} = \frac{\alpha_v\, f_{ub}\, A}{\gamma_{M2}} $ where A = As (threads not in shear) or A = At (threads in shear). $ F_{t,Rd} = \frac{0.9 \, f_{ub} \, A_t}{\gamma_{M2}} $ For a connection with n bolts and n_v shear planes per bolt: $ F_{v,Rd}^{(conn)} = n \, n_v \, F_{v,Rd}^{(per\;plane)} \qquad F_{t,Rd}^{(conn)} = n \, F_{t,Rd}^{(per\;bolt)} $ Combined (non-preloaded bearing bolts – conservative approximation): $ \left(\frac{F_{t,Ed}^{(per\;bolt)}}{F_{t,Rd}^{(per\;bolt)}}\right)^2 + \left(\frac{F_{v,Ed}^{(per\;bolt)}}{F_{v,Rd}^{(per\;bolt)}}\right)^2 \le 1.0 $

Variables and units

No variables provided in audit spec.

Sources (authoritative):

Engineering — calcdomain.com · Accessed 2026-01-19
https://calcdomain.com/engineering
EN 1993-1-8:2005 (PDF) — phd.eng.br · Accessed 2026-01-19
https://www.phd.eng.br/wp-content/uploads/2015/12/en.1993.1.8.2005-1.pdf

Changelog

Version: 0.1.0-draft
Last code update: 2026-01-19

0.1.0-draft · 2026-01-19

Initial audit spec draft generated from HTML extraction (review required).
Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
Confirm sources are authoritative and relevant to the calculator methodology.

Verified by Ugo Candido on 2026-01-19
Profile · LinkedIn

Formulas

(Formulas preserved from original page content, if present.)

Version 0.1.0-draft

Citations

Add authoritative sources relevant to this calculator (standards bodies, manuals, official docs).

Changelog

0.1.0-draft — 2026-01-19: Initial draft (review required).