Single vertical fixed-base frame
Cantilever-frame equilibrium
Inputs
Positive lateral-load magnitude at the upper end of the one displayed vertical member.
Vertical fixed-base-to-load distance of the one displayed cantilever member.
Results
Base shear magnitudeV
12,000
Base couple-moment magnitudeM
36,000
Vbase = H; Mbase = Hh
A first-pass number, not a code check, certification, or approval. Read the method and its limits below. What this is and is not.
Nearby: Axial response · Beam deflection & reactions · Elastic stability · Solid-shaft torsion
Method
Formula, when it applies, and when it does not
Calculate the base shear and base couple moment for one vertical cantilever frame under one lateral top load without general-frame analysis.
Vbase = H; Mbase = Hh
When
- One vertical fixed-base member
- One lateral top load
- Rigid-body two-dimensional equilibrium
- No force redistribution
Don’t
- This is one vertical cantilever-frame free-body equilibrium only: a single stated lateral top-load magnitude, base shear, and fixed-base couple moment. It excludes portal-frame redistribution, axial load, member stiffness, deflection, stress, connection behavior, second-order effects, stability, code requirements, safety factors, and approval.