Match the diagram conditions, then follow the example inputs and results. Change numerical values in the calculator.
1. Match the diagram to your question
背の高い物を横から押す例です。転倒と滑りは別々に確認します。
Bは接地幅、hcは重心高さ、hは力をかける高さです。全高と混同しません。
対象全体の質量 m
100 kg
検討方向の接地幅 B
600 mm
接地中央から重心まで x（右が正）
0 mm
床から重心までの高さ hc
1,000 mm
床に平行な横荷重 F（右が正）
200 N
横荷重の作用高さ h
1,200 mm
床の角度 θ（右上がりが正）
0 °
静摩擦係数 μ（入力例）
0.3
接地端の反力とモーメントの余裕を読みます。反力が負の側は、接地を保てない計算条件です。
転倒モーメントの余裕（負は浮上り）
54.1995 N·m
静摩擦力の余裕（負は滑り境界超え）
94.1995 N
RL · 左端の鉛直反力（床に垂直）
90.3325 N
A sideways force acts on a tall object. Check tipping separately from sliding.
B is footprint width, hc centroid height and h force height, rather than overall height.
Total mass m
100 kg
Footprint width in the checked direction B
600 mm
CG offset x from footprint centre (right positive)
0 mm
CG height above floor hc
1,000 mm
Force parallel to floor F (right positive)
200 N
Lateral-force height h
1,200 mm
Floor slope θ (rising right positive)
0 °
Static friction coefficient μ (example)
0.3
Read support reactions and moment margin. Negative reaction means that side cannot maintain contact in this model.
Tipping moment reserve (negative: uplift)
54.1995 N·m
Static friction reserve (negative: exceeded)
94.1995 N
RL · Left normal reaction
90.3325 N
Blue marks inputs; orange marks outputs. These diagrams explain the fixed example below; dimensions and deformation are not drawn to physical scale.
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2. Example inputs
Total mass mWhat goes here?
This is mass, including fixtures or loads that move with it where required. Kilograms describe mass; newtons describe force.
100 kg
Footprint width in the checked direction BWhat goes here?
Use the dimension marked in the diagram. Distinguish radius from diameter, bore from outside diameter, and overall length from support span.
600 mm
CG offset x from footprint centre (right positive)What goes here?
Use the dimension marked in the diagram. Distinguish radius from diameter, bore from outside diameter, and overall length from support span.
0 mm
CG height above floor hcWhat goes here?
Use the dimension marked in the diagram. Distinguish radius from diameter, bore from outside diameter, and overall length from support span.
1,000 mm
Force parallel to floor F (right positive)What goes here?
Magnitude of a push or pull, in force units such as N, rather than mass in kg.
200 N
Lateral-force height hWhat goes here?
Use the dimension marked in the diagram. Distinguish radius from diameter, bore from outside diameter, and overall length from support span.
1,200 mm
Floor slope θ (rising right positive)What goes here?
Match the field symbol to the diagram and check dimensions, specifications or operating conditions. Replace example numbers with your actual conditions.
A dimensionless ratio of friction to normal force. With μ=0.1 and a 100 N normal load, the model gives 10 N friction.
Static friction concerns breakaway; kinetic friction concerns sliding. Match lubrication, surfaces, speed, temperature and seal resistance. Comparison values are not material standards. Use product data or measured resistance divided by normal force. Do not transfer rolling-guide values to sliding contacts.
Choose values for actual contact, lubrication, temperature and other conditions. These initial values are examples.
0.3
These are fixed teaching inputs. Coefficients, properties and comparison limits are not recommendations. Enter your conditions in the calculator.
3. Results for this example
Tipping moment reserve (negative: uplift)
54.1995 N·m
Static friction reserve (negative: exceeded)
94.1995 N
Left normal reaction
90.3325 N
Tipping and friction margins are separate. A negative support reaction indicates lost contact in this model. Use actual footprint edges and centre of gravity.
Table units are not always the units required in the formula. The calculator converts selected units to its internal base units before computing.
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Assumptions and exclusions
Rigid-body quasi-static equilibrium in one vertical section. B is the actual contact-edge spacing, not overall width. CG x and hc use floor coordinates. A negative reaction means contact cannot be maintained. Tipping and sliding are separate; post-tip/post-slip motion, impacts, earthquake response, anchors, casters and floor flexibility are excluded. Check the other horizontal direction separately.
