Statically Determinate Check

Enter member, reaction, joint, and release counts to instantly check if a 2D structure is statically determinate, indeterminate, or a mechanism.

Structure Parameters

Total number of structural members

Pin = 2, Roller = 1, Fixed = 3

Total number of joints (nodes)

Enter structure parameters and click
Check Determinacy to see the result.

Support Reaction Reference

Support Type Reactions (r) Constraints
Pin / Hinge 2 Horizontal + Vertical force
Roller 1 Normal force only
Fixed (Cantilever) 3 2 forces + 1 moment
Link / Sliding 1 One direction only

Summary

Enter member, reaction, joint, and release counts to instantly check if a 2D structure is statically determinate, indeterminate, or a mechanism.

How it works

  1. Select the structure type: Truss or Frame.
  2. Enter the number of members (m), reactions (r), and joints (j).
  3. For frames, also enter the number of internal hinges/releases (c).
  4. The tool calculates the Degree of Static Indeterminacy (DSI).
  5. A DSI of 0 means determinate; positive means indeterminate; negative means a mechanism.

Use cases

  • Quickly verify hand calculations in structural engineering coursework.
  • Check trusses and portal frames before full analysis.
  • Teach students the concept of static determinacy interactively.
  • Pre-screen structures for suitability of the force method or stiffness method.
  • Confirm that internal hinges are correctly counted in frames.
  • Validate simple beam, cantilever, or propped-cantilever configurations.

Frequently Asked Questions

Last updated: 2026-06-10 · Reviewed by Nham Vu