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Stability and tipping2D

Crane load and counterweight

Locate base resultants and distinguish full contact, kern exceedance, uplift, sliding, and complete tipping.

Open the complete lesson

Advanced engineering statics simulation

Statics Stability and Tipping Suite

Rigid-body equilibrium with explicit load locations, base contact, sliding, and overturning checks; not a design-code check.

Place a lifted load on the jib and a counterweight on the opposite side, including their actual horizontal offsets.

Crane self-weight
300 kN
kN
40–800

Drag for exploration or enter an exact value. Press Enter to apply and Escape to restore.

Base width
3.0 m
m
0.8–8.0

Drag for exploration or enter an exact value. Press Enter to apply and Escape to restore.

Lifted load
60 kN
kN
0–500

Drag for exploration or enter an exact value. Press Enter to apply and Escape to restore.

Lifted-load outreach (+ right)
2.0 m
m
0.5–15.0

Drag for exploration or enter an exact value. Press Enter to apply and Escape to restore.

Counterweight
100 kN
kN
0–500

Drag for exploration or enter an exact value. Press Enter to apply and Escape to restore.

Counterweight radius (left)
2.5 m
m
0.5–12.0

Drag for exploration or enter an exact value. Press Enter to apply and Escape to restore.

full contactExplicit load-location equilibrium
W 300lifted 60counterweight 100middle thirdbase resultant
Eccentricity
0.283 m
Kern 0.500 m
Net center moment
-130.00 kN·m
Overturning FS
28.33
Moments about tipping toe
Sliding FS
N/A
No horizontal action
e=Mcenter∑V,∣e∣≤B6e=\frac{M_{center}}{\sum V},\qquad |e|\leq\frac{B}{6}

Vertical loads contribute according to their signed horizontal offsets. Loads outside the toe can add overturning moment.

Concept question: Predict the base-resultant eccentricity after changing the lifted-load outreach.

Model scope and verification

Scope: Educational rigid-body statics model using the selected geometry, stated idealizations, and displayed SI units.

Acceptance check: Check the governing equilibrium, compatibility, geometry, or limiting-condition statement before accepting the numerical result.

Related simulations

Rigid block under horizontal loadPlatform with moving vertical loadSimplified retaining-wall stabilityResultant-within-base visualizer