Bridge Truss Design Simulator Back
Structural Design

Bridge Truss Design Simulator

Place nodes and connect them with members to design your own truss bridge. Drive a truck across for real-time stress analysis — exceed the limit and watch it collapse. Aim for the lightest bridge that survives.

Tools
Material
Cross-section Area
mm²
Presets
Structure Info
2
Nodes
0
Members
0
Weight [kg]
Safety Factor
Visualization

💡 Use the Node tool to click on the canvas and place nodes → then use the Member tool to connect them

Theory & Key Formulas

$$F_i = \frac{EA_i}{L_i}(u_{j,x}\cos\theta_i + u_{j,y}\sin\theta_i - u_{k,x}\cos\theta_i - u_{k,y}\sin\theta_i)$$

トラス部材の軸力。E:ヤング率 [Pa]、A_i:断面積 [m²]、L_i:部材長 [m]、θ_i:部材角度 [rad]

$$\sigma_i = \frac{F_i}{A_i}, \quad \text{SF} = \frac{\sigma_y}{\sigma_i}$$

軸応力 σ_i と安全率 SF。σ_y:降伏応力(鋼材 ≈ 245 MPa)。SF < 1 で破壊(赤色表示)

What Is the Bridge Truss Design Simulator?

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So with this simulator, I can actually place nodes and design my own bridge? And watch it break?
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Exactly. You place nodes and connect them with members to build a truss structure. Switch to test mode and drive a truck across — each member's stress is displayed in real time with color coding. When a member turns red and exceeds its limit, it snaps, and that can trigger a chain reaction that brings the whole bridge down.
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I've heard triangles are important in bridge design. Why is that? Can't you just use rectangles?
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Try it yourself — build a bridge using only rectangles and apply a load. It'll immediately collapse into a parallelogram shape. A triangle is rigid because once the three side lengths are fixed, the shape can't change. That's the most fundamental principle in structural mechanics. Look at the Warren and Pratt presets — they're entirely made of triangles.
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What happens when you change the material?
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Steel has a high Young's modulus, so it deforms very little — but it's heavy. Aluminum is lighter but has a lower stiffness. Wood is the lightest of the three but also the weakest. Even with the exact same bridge geometry, switching materials can completely change the safety factor. That's what makes optimal design so challenging.

Frequently Asked Questions

Because the stress acting on each member exceeds the allowable value of the material. The simulator calculates stress in real time, and members that exceed the limit are displayed in red before collapse. Increase strength by adding members or reviewing their placement.
Adopt a truss structure based on triangles, and place members with awareness of the flow of compressive and tensile forces. Unnecessary members increase weight, so it is effective to reinforce areas where stress is concentrated and reduce members with low stress.
Considering operability on the screen and computational load, a maximum of 30 nodes and 60 members can be placed. Design an efficient structure within these limits. Since you cannot add more once the limit is exceeded, plan ahead.
You can check the stress state by the colors and numbers displayed on the members. Blue indicates compression, red indicates tension, and the numbers represent the ratio (%) to the allowable stress. If it exceeds 100%, the risk of collapse increases, so aim for a design with a margin.

Real-World Applications

Preliminary bridge design: In real bridge engineering, the first step is to lay out truss members and estimate cross-sections, then verify member forces under moving loads (design trucks). The calculations in this tool follow the same principles used in that initial design phase.

Structural optimization: "What's the lightest structure that can carry a given load?" is a classic topology optimization problem. Adding and removing members while maintaining an adequate safety factor is essentially solving this problem by hand.

Understanding collapse mechanisms: When a single member fails, forces redistribute to neighboring members, potentially causing stress concentrations that trigger progressive collapse. The 2007 Minneapolis I-35W bridge collapse was a textbook example of exactly this mechanism.

Common Misconceptions and Points to Note

First, the idea that "the more members you add, the stronger the bridge becomes" is a major misconception. While more members can help distribute forces, they also increase the bridge's self-weight. For instance, indiscriminately adding diagonal members to the central span can cause a "counterproductive" effect where the weight of those members themselves causes the center to sag, actually increasing stress. Optimal design is about placing "the necessary members in the necessary places."

Next, remember the assumption that "the joints (nodes) are perfect pin connections". This simulator calculates forces based on the ideal conditions of "truss theory," where members can rotate freely at their ends. However, in real steel bridges, members are fixed by welds or bolts, creating some degree of "rigidity" and generating secondary bending stresses. Even if you achieve a perfect design in the tool, you must verify this point separately in practice.

Finally, develop a sense for the factor of safety. A design that collapses right at the limit strength is absolutely unacceptable in reality. You need a margin (a factor of safety) to account for material variability, calculation errors, and unexpected loads. For example, a wooden design where a member turns bright red the moment a truck finishes crossing might be a simulation success, but it's extremely dangerous in the real world. Your "engineering sense," which always incorporates a margin, is being tested.

Physical Model & Key Equations

The simulator is based on the governing equations of Bridge Truss Design Simulator. Understanding these equations is key to interpreting the results correctly.

Each parameter in the equations corresponds to a slider in the control panel. Moving a slider changes the equation's solution in real time, helping you build a direct connection between mathematical expressions and physical behavior.

How to Use

  1. Click on the canvas to place nodes at desired coordinates for your truss geometry
  2. Connect two nodes by selecting them sequentially to create a member; the simulator assigns cross-sectional area from the areaSlider (50–500 mm²)
  3. Adjust loadVal (2–50 kN) to set truck weight, then click "Run Analysis" to compute member stresses using the method of joints
  4. View color-coded members: blue for compression, red for tension; scale stress visualization with scaleSlider for clarity

Worked Example

Design a simple Warren truss: place 5 nodes in a triangular pattern (base 4 m, height 2 m), connect with 7 members using areaVal = 250 mm². Apply loadVal = 25 kN at the midpoint. With steel (E = 200 GPa), the simulator computes bottom chord tension ≈ 35.7 kN and peak deflection ≈ 8.4 mm at mid-span. Adjust areaSlider to 400 mm² to reduce deflection to 5.3 mm and lower member stresses by 37%.

Practical Notes