> ## Documentation Index
> Fetch the complete documentation index at: https://docs.iotools.cloud/llms.txt
> Use this file to discover all available pages before exploring further.

# Bolt Torque Calculator

> Work out the tightening torque for a bolted joint using T = K·F·d. Pick a thread size (ISO metric coarse/fine or UNC) and a property class (8.8, 10.9, 12.9, A2-70, SAE 5/8) and the preload is derived from proof load automatically, or enter a target clamp load directly. Results in N·m, lbf·ft, lbf·in and kgf·m, with the resulting bolt stress. Runs entirely in your browser.

[Try Bolt Torque Calculator in your browser →](https://iotools.cloud/tool/bolt-torque-calculator/)



## OpenAPI

````yaml https://api.iotools.cloud/v1/openapi post /v1/tool/bolt-torque-calculator
openapi: 3.1.0
info:
  title: iotools.cloud API
  version: 1.0.0
  description: >-
    Run any iotools.cloud tool over HTTP.


    Authenticate with `Authorization: Bearer iot_live_…`.


    **Only `POST /v1/tool/{slug}` costs credits.** Every GET here — the catalog,
    a tool's schema, your balance — is free. A tool call is charged its own
    weight or your plan's per-call minimum, whichever is larger;
    `x-iotools-credit-cost` on each operation is quoted at the free-tier
    minimum, and `GET /v1/tools/list` returns the exact figure for your key.
    `GET /v1/me/credits` reports what you have left, and `GET /v1/me/usage`
    reports what it went on.


    Failures are RFC 9457 problem documents — branch on `code`.
servers:
  - url: https://api.iotools.cloud
    description: Production
security:
  - bearerAuth: []
tags:
  - name: Catalog
    description: Find a tool and read its contract. Free.
  - name: Converters
    description: >-
      Convert between formats, encodings, and units — Base64, CSV and JSON,
      timestamps, and more. Fast, free, and processed right in your browser.
  - name: Formatters
    description: >-
      Format, beautify, minify, and validate code and data — JSON, HTML, CSS,
      SQL, and regex. Clean up messy input in one click, with nothing to upload.
  - name: Generators
    description: >-
      Generate exactly what you need and on demand — passwords, UUIDs, QR codes,
      hashes, random numbers, and more. Secure, instant, and free.
  - name: Calculators
    description: >-
      Crunch the numbers fast — from everyday math to specialized conversions
      and unit work. Free online calculators that run entirely in your browser.
  - name: Editors
    description: >-
      Edit and transform text, code, and images with quick, focused editors that
      run entirely in your browser — nothing to install, and no sign-up needed.
  - name: Utilities
    description: >-
      Everyday developer and web utilities — DNS and IP lookups, redirect and
      certificate checkers, and other quick diagnostics. Free and
      privacy-friendly.
  - name: Account
    description: Your key's allowance, limits and usage history.
paths:
  /v1/tool/bolt-torque-calculator:
    post:
      tags:
        - Calculators
      summary: Bolt Torque Calculator
      description: >-
        Work out the tightening torque for a bolted joint using T = K·F·d. Pick
        a thread size (ISO metric coarse/fine or UNC) and a property class (8.8,
        10.9, 12.9, A2-70, SAE 5/8) and the preload is derived from proof load
        automatically, or enter a target clamp load directly. Results in N·m,
        lbf·ft, lbf·in and kgf·m, with the resulting bolt stress. Runs entirely
        in your browser.


        [Try Bolt Torque Calculator in your browser
        →](https://iotools.cloud/tool/bolt-torque-calculator/)
      operationId: run_bolt_torque_calculator
      requestBody:
        required: false
        content:
          application/json:
            schema:
              type: object
              properties:
                mode:
                  enum:
                    - grade
                    - preload
                  description: Preload source
                thread:
                  enum:
                    - M3
                    - M4
                    - M5
                    - M6
                    - M8
                    - M8x1
                    - M10
                    - M10x1.25
                    - M12
                    - M12x1.25
                    - M14
                    - M16
                    - M16x1.5
                    - M18
                    - M20
                    - M20x1.5
                    - M22
                    - M24
                    - M27
                    - M30
                    - M33
                    - M36
                    - 1/4-20
                    - 5/16-18
                    - 3/8-16
                    - 1/2-13
                    - 5/8-11
                    - 3/4-10
                    - custom
                  description: Thread size
                diameter:
                  type: number
                  description: Nominal diameter (mm)
                  minimum: 0.5
                  maximum: 200
                stressArea:
                  type: number
                  description: Tensile stress area Aₛ (mm²)
                  minimum: 0.1
                  maximum: 40000
                grade:
                  enum:
                    - '4.6'
                    - '4.8'
                    - '5.8'
                    - '8.8'
                    - '9.8'
                    - '10.9'
                    - '12.9'
                    - A2-70
                    - A2-80
                    - SAE5
                    - SAE8
                  description: Bolt grade / property class
                preloadPercent:
                  type: number
                  description: Preload target (% of proof load)
                  minimum: 25
                  maximum: 100
                preload:
                  type: number
                  description: Target preload F (N)
                  minimum: 1
                  maximum: 10000000
                condition:
                  enum:
                    - '0.30'
                    - '0.25'
                    - '0.22'
                    - '0.20'
                    - '0.18'
                    - '0.16'
                    - '0.12'
                    - '0.10'
                    - custom
                  description: Joint condition (nut factor K)
                nutFactor:
                  type: number
                  description: Nut factor K
                  minimum: 0.01
                  maximum: 1
              required: []
            examples:
              m10_grade_8_8_lightly_oiled_65_of_proof_load:
                summary: M10 grade 8.8, lightly oiled, 65% of proof load
                value:
                  mode: grade
                  thread: M10
                  grade: '8.8'
                  preloadPercent: '65'
                  condition: '0.20'
              m16_grade_10_9_zinc_plated_75_of_proof_load:
                summary: M16 grade 10.9, zinc plated, 75% of proof load
                value:
                  mode: grade
                  thread: M16
                  grade: '10.9'
                  preloadPercent: '75'
                  condition: '0.22'
              known_preload_20_kn_on_a_12_mm_bolt_k_0_20:
                summary: 'Known preload: 20 kN on a 12 mm bolt, K = 0.20'
                value:
                  mode: preload
                  thread: M12
                  preload: '20000'
                  condition: '0.20'
              1_2_13_unc_sae_grade_8_anti_seize_70_of_proof_load:
                summary: 1/2"-13 UNC SAE Grade 8, anti-seize, 70% of proof load
                value:
                  mode: grade
                  thread: 1/2-13
                  grade: SAE8
                  preloadPercent: '70'
                  condition: '0.10'
      responses:
        '200':
          description: Tool output
          content:
            application/json:
              examples:
                m10_grade_8_8_lightly_oiled_65_of_proof_load:
                  summary: M10 grade 8.8, lightly oiled, 65% of proof load
                  value:
                    tool: bolt-torque-calculator
                    tool_version: 1.0.1
                    outputs:
                      torque: 43.73 N·m  (32.26 lbf·ft)
                      torqueTable:
                        - unit: N·m
                          value: '43.73'
                        - unit: N·cm
                          value: 4,373.2
                        - unit: kgf·m
                          value: '4.459'
                        - unit: lbf·ft
                          value: '32.26'
                        - unit: lbf·in
                          value: '387.1'
                      preloadUsed: 21,866 N (21.87 kN) — 65% of proof load
                      boltStress: 377.0 MPa (65% of 580 MPa proof)
                      notes: >-
                        T = K · F · d = 0.20 × 21,866 N × 10 mm.

                        K is an empirical constant that swallows thread and
                        under-head friction — it varies with lubrication,
                        coating, washer surface and reuse, so torque control
                        alone typically scatters preload by ±25–30%. Do not
                        substitute this estimate for torque-tension testing on a
                        critical joint.
                    credits_used: 3
                    credits_remaining: null
                m16_grade_10_9_zinc_plated_75_of_proof_load:
                  summary: M16 grade 10.9, zinc plated, 75% of proof load
                  value:
                    tool: bolt-torque-calculator
                    tool_version: 1.0.1
                    outputs:
                      torque: 344.02 N·m  (253.73 lbf·ft)
                      torqueTable:
                        - unit: N·m
                          value: '344.02'
                        - unit: N·cm
                          value: 34,401.8
                        - unit: kgf·m
                          value: '35.080'
                        - unit: lbf·ft
                          value: '253.73'
                        - unit: lbf·in
                          value: 3,044.8
                      preloadUsed: 97,733 N (97.73 kN) — 75% of proof load
                      boltStress: 622.5 MPa (75% of 830 MPa proof)
                      notes: >-
                        T = K · F · d = 0.22 × 97,733 N × 16 mm.

                        K is an empirical constant that swallows thread and
                        under-head friction — it varies with lubrication,
                        coating, washer surface and reuse, so torque control
                        alone typically scatters preload by ±25–30%. Do not
                        substitute this estimate for torque-tension testing on a
                        critical joint.
                    credits_used: 3
                    credits_remaining: null
                known_preload_20_kn_on_a_12_mm_bolt_k_0_20:
                  summary: 'Known preload: 20 kN on a 12 mm bolt, K = 0.20'
                  value:
                    tool: bolt-torque-calculator
                    tool_version: 1.0.1
                    outputs:
                      torque: 48.00 N·m  (35.40 lbf·ft)
                      torqueTable:
                        - unit: N·m
                          value: '48.00'
                        - unit: N·cm
                          value: 4,800.0
                        - unit: kgf·m
                          value: '4.895'
                        - unit: lbf·ft
                          value: '35.40'
                        - unit: lbf·in
                          value: '424.8'
                      preloadUsed: 20,000 N (20.00 kN)
                      boltStress: 237.2 MPa
                      notes: >-
                        Bolt stress at this preload is 237.2 MPa — check it
                        against your bolt's proof strength (ISO 8.8 ≈ 580–600
                        MPa, 10.9 ≈ 830 MPa, 12.9 ≈ 970 MPa).

                        T = K · F · d = 0.20 × 20,000 N × 12 mm.

                        K is an empirical constant that swallows thread and
                        under-head friction — it varies with lubrication,
                        coating, washer surface and reuse, so torque control
                        alone typically scatters preload by ±25–30%. Do not
                        substitute this estimate for torque-tension testing on a
                        critical joint.
                    credits_used: 3
                    credits_remaining: null
                1_2_13_unc_sae_grade_8_anti_seize_70_of_proof_load:
                  summary: 1/2"-13 UNC SAE Grade 8, anti-seize, 70% of proof load
                  value:
                    tool: bolt-torque-calculator
                    tool_version: 1.0.1
                    outputs:
                      torque: 67.27 N·m  (49.62 lbf·ft)
                      torqueTable:
                        - unit: N·m
                          value: '67.27'
                        - unit: N·cm
                          value: 6,727.1
                        - unit: kgf·m
                          value: '6.860'
                        - unit: lbf·ft
                          value: '49.62'
                        - unit: lbf·in
                          value: '595.4'
                      preloadUsed: 52,969 N (52.97 kN) — 70% of proof load
                      boltStress: 578.9 MPa (70% of 827 MPa proof)
                      notes: >-
                        Nut factors at or below 0.12 assume a genuinely
                        effective coating or lubricant; verify with
                        torque-tension testing before relying on them.

                        T = K · F · d = 0.10 × 52,969 N × 12.7 mm.

                        K is an empirical constant that swallows thread and
                        under-head friction — it varies with lubrication,
                        coating, washer surface and reuse, so torque control
                        alone typically scatters preload by ±25–30%. Do not
                        substitute this estimate for torque-tension testing on a
                        critical joint.
                    credits_used: 3
                    credits_remaining: null
              schema:
                type: object
                required:
                  - tool
                  - tool_version
                  - outputs
                  - credits_used
                  - credits_remaining
                properties:
                  outputs:
                    type: object
                    properties:
                      torque:
                        type: string
                        description: Tightening torque
                      torqueTable:
                        type: array
                        description: Torque in other units
                        items:
                          type: object
                          properties:
                            unit:
                              type: string
                              description: Unit
                            value:
                              type: string
                              description: Value
                        x-iotools-columns:
                          - unit
                          - value
                      preloadUsed:
                        type: string
                        description: Preload (clamp load)
                      boltStress:
                        type: string
                        description: Resulting bolt stress
                      notes:
                        type: string
                        description: Notes & warnings
                  tool:
                    type: string
                    description: The tool's slug, echoing the {slug} in the request path.
                  tool_version:
                    type: string
                    description: Output-contract version for this tool.
                  credits_used:
                    type: integer
                    description: >-
                      Credits this call consumed, after any settlement refund. 0
                      when metering is disabled.
                  credits_remaining:
                    type:
                      - integer
                      - 'null'
                    description: >-
                      Credits left in the current monthly allowance, or null
                      when metering is disabled.
                  request_id:
                    type: string
                    description: Correlation id, also sent as x-request-id.
        '400':
          $ref: '#/components/responses/ValidationError'
        '401':
          $ref: '#/components/responses/Unauthorized'
        '402':
          $ref: '#/components/responses/InsufficientCredits'
        '403':
          $ref: '#/components/responses/ToolNotAllowed'
        '404':
          $ref: '#/components/responses/ToolNotFound'
        '413':
          $ref: '#/components/responses/PayloadTooLarge'
        '429':
          $ref: '#/components/responses/RateLimited'
        '500':
          $ref: '#/components/responses/ToolFailed'
        '503':
          $ref: '#/components/responses/ToolDisabled'
      security:
        - bearerAuth: []
components:
  responses:
    ValidationError:
      description: Invalid request.
      content:
        application/problem+json:
          schema:
            type: object
            description: >-
              RFC 9457 problem document, served as application/problem+json.
              Branch on `code`; `title` is human prose and may be reworded
              without notice. Some failures add extension members — `fields` on
              validation errors, `retry_after` on 429s,
              `credits_used`/`credits_remaining` on billing-adjacent failures —
              documented on the responses that carry them.
            required:
              - type
              - title
              - status
              - code
            properties:
              type:
                type: string
                format: uri
                description: Stable documentation URI for this failure.
                examples:
                  - https://iotools.cloud/docs/errors/validation_error
              title:
                type: string
                description: Short human-readable summary of the failure.
                examples:
                  - Invalid request
              status:
                type: integer
                description: HTTP status code, matching the response's own status.
              code:
                type: string
                description: >-
                  Stable machine-readable error code — branch on this, not
                  `title`.
                enum:
                  - validation_error
              detail:
                type: string
                description: Human explanation of this occurrence.
              request_id:
                type: string
                description: Correlation id, also sent as x-request-id.
              fields:
                type:
                  - object
                  - string
                additionalProperties:
                  type: string
                description: >-
                  What failed: a map of field name → message. Absent when the
                  body itself is malformed; a single string when the failure
                  isn't tied to one field.
          example:
            type: https://iotools.cloud/docs/errors/validation_error
            title: Invalid request
            status: 400
            code: validation_error
            detail: One or more inputs are invalid — see `fields`.
            request_id: e4042b29-8f1e-4c7a-9b52-6f0d1a3c7e11
            fields:
              inputString: Required
    Unauthorized:
      description: Missing or invalid API key.
      content:
        application/problem+json:
          schema:
            type: object
            description: >-
              RFC 9457 problem document, served as application/problem+json.
              Branch on `code`; `title` is human prose and may be reworded
              without notice. Some failures add extension members — `fields` on
              validation errors, `retry_after` on 429s,
              `credits_used`/`credits_remaining` on billing-adjacent failures —
              documented on the responses that carry them.
            required:
              - type
              - title
              - status
              - code
            properties:
              type:
                type: string
                format: uri
                description: Stable documentation URI for this failure.
                examples:
                  - https://iotools.cloud/docs/errors/invalid_api_key
              title:
                type: string
                description: Short human-readable summary of the failure.
                examples:
                  - Invalid API key
              status:
                type: integer
                description: HTTP status code, matching the response's own status.
              code:
                type: string
                description: >-
                  Stable machine-readable error code — branch on this, not
                  `title`.
                enum:
                  - invalid_api_key
              detail:
                type: string
                description: Human explanation of this occurrence.
              request_id:
                type: string
                description: Correlation id, also sent as x-request-id.
          example:
            type: https://iotools.cloud/docs/errors/invalid_api_key
            title: Invalid API key
            status: 401
            code: invalid_api_key
            detail: 'Provide ''Authorization: Bearer <key>''.'
            request_id: e4042b29-8f1e-4c7a-9b52-6f0d1a3c7e11
    InsufficientCredits:
      description: Monthly credit allowance exhausted.
      content:
        application/problem+json:
          schema:
            type: object
            description: >-
              RFC 9457 problem document, served as application/problem+json.
              Branch on `code`; `title` is human prose and may be reworded
              without notice. Some failures add extension members — `fields` on
              validation errors, `retry_after` on 429s,
              `credits_used`/`credits_remaining` on billing-adjacent failures —
              documented on the responses that carry them.
            required:
              - type
              - title
              - status
              - code
            properties:
              type:
                type: string
                format: uri
                description: Stable documentation URI for this failure.
                examples:
                  - https://iotools.cloud/docs/errors/insufficient_credits
              title:
                type: string
                description: Short human-readable summary of the failure.
                examples:
                  - Insufficient credits
              status:
                type: integer
                description: HTTP status code, matching the response's own status.
              code:
                type: string
                description: >-
                  Stable machine-readable error code — branch on this, not
                  `title`.
                enum:
                  - insufficient_credits
              detail:
                type: string
                description: Human explanation of this occurrence.
              request_id:
                type: string
                description: Correlation id, also sent as x-request-id.
              credits_used:
                type: integer
                description: Always 0 — a refused call charges nothing.
              credits_remaining:
                type: integer
                description: Credits left in the allowance — fewer than this call costs.
          example:
            type: https://iotools.cloud/docs/errors/insufficient_credits
            title: Insufficient credits
            status: 402
            code: insufficient_credits
            detail: This call costs 1 credit and 0 remain in this month's allowance.
            request_id: e4042b29-8f1e-4c7a-9b52-6f0d1a3c7e11
            credits_used: 0
            credits_remaining: 0
    ToolNotAllowed:
      description: Tool exists but has no API surface.
      content:
        application/problem+json:
          schema:
            type: object
            description: >-
              RFC 9457 problem document, served as application/problem+json.
              Branch on `code`; `title` is human prose and may be reworded
              without notice. Some failures add extension members — `fields` on
              validation errors, `retry_after` on 429s,
              `credits_used`/`credits_remaining` on billing-adjacent failures —
              documented on the responses that carry them.
            required:
              - type
              - title
              - status
              - code
            properties:
              type:
                type: string
                format: uri
                description: Stable documentation URI for this failure.
                examples:
                  - https://iotools.cloud/docs/errors/tool_not_allowed
              title:
                type: string
                description: Short human-readable summary of the failure.
                examples:
                  - Tool not available over the API
              status:
                type: integer
                description: HTTP status code, matching the response's own status.
              code:
                type: string
                description: >-
                  Stable machine-readable error code — branch on this, not
                  `title`.
                enum:
                  - tool_not_allowed
              detail:
                type: string
                description: Human explanation of this occurrence.
              request_id:
                type: string
                description: Correlation id, also sent as x-request-id.
          example:
            type: https://iotools.cloud/docs/errors/tool_not_allowed
            title: Tool not available over the API
            status: 403
            code: tool_not_allowed
            detail: >-
              "Background Remover" is available on iotools.cloud but has no API
              endpoint.
            request_id: e4042b29-8f1e-4c7a-9b52-6f0d1a3c7e11
    ToolNotFound:
      description: No such tool.
      content:
        application/problem+json:
          schema:
            type: object
            description: >-
              RFC 9457 problem document, served as application/problem+json.
              Branch on `code`; `title` is human prose and may be reworded
              without notice. Some failures add extension members — `fields` on
              validation errors, `retry_after` on 429s,
              `credits_used`/`credits_remaining` on billing-adjacent failures —
              documented on the responses that carry them.
            required:
              - type
              - title
              - status
              - code
            properties:
              type:
                type: string
                format: uri
                description: Stable documentation URI for this failure.
                examples:
                  - https://iotools.cloud/docs/errors/tool_not_found
              title:
                type: string
                description: Short human-readable summary of the failure.
                examples:
                  - Tool not found
              status:
                type: integer
                description: HTTP status code, matching the response's own status.
              code:
                type: string
                description: >-
                  Stable machine-readable error code — branch on this, not
                  `title`.
                enum:
                  - tool_not_found
              detail:
                type: string
                description: Human explanation of this occurrence.
              request_id:
                type: string
                description: Correlation id, also sent as x-request-id.
          example:
            type: https://iotools.cloud/docs/errors/tool_not_found
            title: Tool not found
            status: 404
            code: tool_not_found
            detail: No tool with that slug. See GET /v1/tools/list.
            request_id: e4042b29-8f1e-4c7a-9b52-6f0d1a3c7e11
    PayloadTooLarge:
      description: Body too large.
      content:
        application/problem+json:
          schema:
            type: object
            description: >-
              RFC 9457 problem document, served as application/problem+json.
              Branch on `code`; `title` is human prose and may be reworded
              without notice. Some failures add extension members — `fields` on
              validation errors, `retry_after` on 429s,
              `credits_used`/`credits_remaining` on billing-adjacent failures —
              documented on the responses that carry them.
            required:
              - type
              - title
              - status
              - code
            properties:
              type:
                type: string
                format: uri
                description: Stable documentation URI for this failure.
                examples:
                  - https://iotools.cloud/docs/errors/payload_too_large
              title:
                type: string
                description: Short human-readable summary of the failure.
                examples:
                  - Payload too large
              status:
                type: integer
                description: HTTP status code, matching the response's own status.
              code:
                type: string
                description: >-
                  Stable machine-readable error code — branch on this, not
                  `title`.
                enum:
                  - payload_too_large
              detail:
                type: string
                description: Human explanation of this occurrence.
              request_id:
                type: string
                description: Correlation id, also sent as x-request-id.
          example:
            type: https://iotools.cloud/docs/errors/payload_too_large
            title: Payload too large
            status: 413
            code: payload_too_large
            detail: Request body exceeds this tool's size limit.
            request_id: e4042b29-8f1e-4c7a-9b52-6f0d1a3c7e11
    RateLimited:
      description: Per-minute rate limit exceeded.
      headers:
        Retry-After:
          description: Seconds to wait before retrying (RFC 9110 delta-seconds).
          schema:
            type: integer
      content:
        application/problem+json:
          schema:
            type: object
            description: >-
              RFC 9457 problem document, served as application/problem+json.
              Branch on `code`; `title` is human prose and may be reworded
              without notice. Some failures add extension members — `fields` on
              validation errors, `retry_after` on 429s,
              `credits_used`/`credits_remaining` on billing-adjacent failures —
              documented on the responses that carry them.
            required:
              - type
              - title
              - status
              - code
            properties:
              type:
                type: string
                format: uri
                description: Stable documentation URI for this failure.
                examples:
                  - https://iotools.cloud/docs/errors/rate_limited
              title:
                type: string
                description: Short human-readable summary of the failure.
                examples:
                  - Rate limit exceeded
              status:
                type: integer
                description: HTTP status code, matching the response's own status.
              code:
                type: string
                description: >-
                  Stable machine-readable error code — branch on this, not
                  `title`.
                enum:
                  - rate_limited
              detail:
                type: string
                description: Human explanation of this occurrence.
              request_id:
                type: string
                description: Correlation id, also sent as x-request-id.
              retry_after:
                type: integer
                description: >-
                  Seconds until the window resets — the same value as the
                  `Retry-After` header.
          example:
            type: https://iotools.cloud/docs/errors/rate_limited
            title: Rate limit exceeded
            status: 429
            code: rate_limited
            detail: Too many requests. Retry in 30s.
            request_id: e4042b29-8f1e-4c7a-9b52-6f0d1a3c7e11
            retry_after: 30
    ToolFailed:
      description: Tool failed to run.
      content:
        application/problem+json:
          schema:
            type: object
            description: >-
              RFC 9457 problem document, served as application/problem+json.
              Branch on `code`; `title` is human prose and may be reworded
              without notice. Some failures add extension members — `fields` on
              validation errors, `retry_after` on 429s,
              `credits_used`/`credits_remaining` on billing-adjacent failures —
              documented on the responses that carry them.
            required:
              - type
              - title
              - status
              - code
            properties:
              type:
                type: string
                format: uri
                description: Stable documentation URI for this failure.
                examples:
                  - https://iotools.cloud/docs/errors/processing_error
                  - https://iotools.cloud/docs/errors/internal_error
              title:
                type: string
                description: Short human-readable summary of the failure.
                examples:
                  - Tool failed to run
                  - Internal error
              status:
                type: integer
                description: HTTP status code, matching the response's own status.
              code:
                type: string
                description: >-
                  Stable machine-readable error code — branch on this, not
                  `title`.
                enum:
                  - processing_error
                  - internal_error
              detail:
                type: string
                description: Human explanation of this occurrence.
              request_id:
                type: string
                description: Correlation id, also sent as x-request-id.
              credits_used:
                type: integer
                description: >-
                  Always 0 on `processing_error` — a failed run is refunded,
                  floor included.
              credits_remaining:
                type: integer
                description: >-
                  Credits left after the refund. Absent when metering is
                  disabled.
          example:
            type: https://iotools.cloud/docs/errors/processing_error
            title: Tool failed to run
            status: 500
            code: processing_error
            detail: The tool failed to run. Please try again.
            request_id: e4042b29-8f1e-4c7a-9b52-6f0d1a3c7e11
            credits_used: 0
    ToolDisabled:
      description: Tool temporarily disabled.
      content:
        application/problem+json:
          schema:
            type: object
            description: >-
              RFC 9457 problem document, served as application/problem+json.
              Branch on `code`; `title` is human prose and may be reworded
              without notice. Some failures add extension members — `fields` on
              validation errors, `retry_after` on 429s,
              `credits_used`/`credits_remaining` on billing-adjacent failures —
              documented on the responses that carry them.
            required:
              - type
              - title
              - status
              - code
            properties:
              type:
                type: string
                format: uri
                description: Stable documentation URI for this failure.
                examples:
                  - https://iotools.cloud/docs/errors/tool_disabled
                  - https://iotools.cloud/docs/errors/api_unconfigured
              title:
                type: string
                description: Short human-readable summary of the failure.
                examples:
                  - Tool temporarily disabled
                  - API not configured
              status:
                type: integer
                description: HTTP status code, matching the response's own status.
              code:
                type: string
                description: >-
                  Stable machine-readable error code — branch on this, not
                  `title`.
                enum:
                  - tool_disabled
                  - api_unconfigured
              detail:
                type: string
                description: Human explanation of this occurrence.
              request_id:
                type: string
                description: Correlation id, also sent as x-request-id.
          example:
            type: https://iotools.cloud/docs/errors/tool_disabled
            title: Tool temporarily disabled
            status: 503
            code: tool_disabled
            detail: This tool is temporarily unavailable. Try again shortly.
            request_id: e4042b29-8f1e-4c7a-9b52-6f0d1a3c7e11
  securitySchemes:
    bearerAuth:
      type: http
      scheme: bearer
      bearerFormat: iot_live_…

````