Overhang Span Deflection Calculator
Midspan of the span moves opposite a load on the overhang. δ = −P a L² / (16 E I). Runs locally.
Trust summary CVP VERIFIED · production STALE · CVP protocol 1.0.0-proposed · Engineering assurance
- Input interpretation
- Enter values to calculate.
- Result
- —
- Assurance
- Engineering
- Declared partition coverage
- PASS · 2/2 declared partitions (domain, invalid-domain) · Matrix
- Known limitations
- Physics L1 gap capability
- Core CVP does not include live graph, viewport, or pointer interaction.
- Model
- Midspan deflection of a simply supported span when one load sits on the overhang.
- Scope
- Calculation runs locally in the browser; values are not uploaded.
- Verification
- Engine tested · Source checked · v1.0.0 · CVP VERIFIED · production STALE · CVP protocol 1.0.0-proposed · Engineering assurance· View Manifest · CVP overview · Specification
- Versions
- Calculation 1.0.0 · CVP protocol 1.0.0-proposed
- CVP identity
- 0/0 property · digest d2e3ca9ff742
- Legacy regression
- 2/2 tests · Production surface contract 6/6
- Trust layers
- Verification VERIFIED · Production STALE · overall VERIFIED_STALE
- CVP status
- STALE · Capability production binding: STALE · Site report: STALE · Evidence changed after the last successful production attestation. Re-attestation required.
- Reference
- O1 model · O2 expected_values · O2 numerical_behavior
- Interfaces
- PASS · UI (SSR) / REST / MCP
- Supplemental domain review
- Not performed
- Named expert review
- Not performed
- CVP suite
- 1/1 golden · 1/1 CVP boundary · 1/1 invalid · 1/1 cross-interface · 6/6 CVP contract · Manifest
- Sources
- Hibbeler, Mechanics of Materials
- Gere and Goodno, Mechanics of Materials
- Evidence
- 1 legacy golden · 1 legacy boundary · legacy regression suite · 1/1 oracle-backed golden · 1/1 invalid · Artifact integrity PASS
- Semantic contract
- PASS
Full verification
Formulas
Core equations used by this calculator.
How to use
Enter the load, the overhang, the span, the modulus, and the area moment
L, a, E, and I must be positive.
Read the span midspan
A positive downward load on the overhang gives a negative midspan deflection.
Example calculations
Common configurations with formula and result.
Overhang of 1 beyond a span of 2
P = 48, a = 1, L = 2, E = 1, I = 1
Overhang Span Deflection calculator specification
Version 1.0.0 · Engine tested
- Engine tested 2/2 tests · Production surface contract 6/6
- Named expert review Not performed
- Calculation version 1.0.0
- Definition
- A simply supported span of length L has one overhang of length a and one load P at the overhang end. The midspan of the span moves opposite the load: δ = −P a L² / (16 E I).
- What it calculates
- Midspan deflection of a simply supported span when one load sits on the overhang.
- Inputs
- P
- a
- L
- E
- I
- Outputs
- delta
- Formula
δ = −P a L² / (16 E I).- Assumptions
- Calculation runs locally in the browser; values are not uploaded.
- Keep units consistent with the labels on each field.
- The moment on the span is P a. This is the negative of the one-end-moment midspan page. The deflection at the load is a different page.
- Units
- P, a, L, E, and I set the deflection unit.
- Boundary conditions
- missing P, a, L, E, or I → MISSING_REQUIRED_INPUT
- L ≤ 0, a ≤ 0, E ≤ 0, or I ≤ 0 → VALUE_MUST_BE_POSITIVE
- Example
- P=48 a=1 L=2 E=1 I=1 → δ=−12
- Validation cases
2 published on this page · 2/2 tests · Production surface contract 6/6 · View evidence
- P=48 a=1 L=2 E=1 I=1 → δ=−12
- a=0 → VALUE_MUST_BE_POSITIVE
- Sources
- Hibbeler, Mechanics of Materials — Deflection of beams — overhanging beamSupports: The span sees an end moment P a, so midspan δ = −P a L² / (16 E I).
- Gere and Goodno, Mechanics of Materials — Deflection of beams — beam with an end momentSupports: Supports the sign: a downward overhang load lifts the span.
- Hibbeler, Mechanics of Materials — Deflection of beams — overhanging beam
- Calculation version
- 1.0.0
Background
Interpretation and common distinctions.
Find the midspan deflection of the span when the load sits on the overhang.
Supported and not supported
Supported: δ = −P a L² / (16 E I). Positive P downward on the overhang lifts the span.
Not supported: the deflection at the load. /calc/mechanical is not open.
Agent / API notes
Capability id: mechanical.statics.overhang_span_deflection · tool id: overhang-span-deflection · pin 1.0.0.
{ "P": 48, "a": 1, "L": 2, "E": 1, "I": 1 }
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Frequently asked questions
Key distinctions behind the calculation.
Why is the sign negative?
Positive P is downward at the overhang. That moment lifts the span, so the midspan deflection is opposite the load.