Mass · CoG offset · gravity moment

Robot static payload moment

Inputs

Declared payload massmUser-entered attached payload mass for static gravity arithmetic.

Declared flange-to-CoG offseteUser-entered radial offset from the stated flange reference to payload center of gravity.

Results

Literal payload gravity forceW

78.453

Literal static weight momentM

19.613

Declared flange-to-CoG offset

250

Fg = m·g; Mstatic = Fg·e

A first-pass number, not a code check, certification, or approval. Read the method and its limits below. What this is and is not.

Calculation snapshot

Robot static payload moment

Formula version 1.0.0

Conditions

Declared payload mass	8
Declared flange-to-CoG offset	250

Calculated response

Literal payload gravity force	78.453 N
Literal static weight moment	19.613 N·m
Declared flange-to-CoG offset	250 mm

Method

Fg = m·g · Mstatic = Fg·e

Source

Universal Robots payload guidance: https://www.universal-robots.com/manuals/EN/HTML/SW10_9/Content/prod-usr-man/complianceUR15/H_g5_sections/mechanical_interface_g5/maximum_payload_UR15_en.htm

Boundaries

Static gravity only
Single resultant load

This printout is a record of displayed inputs and deterministic formula output. It is not an approval, certification, or engineering conclusion.

Nearby: Axial response · Beam deflection & reactions · Elastic stability · Solid-shaft torsion

Method

Formula, when it applies, and when it does not

Calculate static gravitational payload force and flange-to-CoG weight moment without comparing against robot payload or moment capacity.

Fg = m·g; Mstatic = Fg·e

When

Static gravity only
Single resultant load

Don’t

This applies static gravity force and a declared flange-to-CoG lever arm. It does not compare a result to any robot payload/moment curve or capacity; calculate acceleration, inertia, motion, mounting, stability, safety, suitability, or approval.

Universal Robots payload guidance