Bridge Loading Calculations Calculator

Analyze bridge loading with clear structural output insights. Review axle, uniform, and impact effects confidently. Generate reports, graphs, and decisions for safer design checks.

Bridge Loading Input Form

Enter bridge geometry, line loads, axle load position, section properties, and allowable limits.

m
m
%
kN/m
kN/m
kN/m
kN
m
%
GPa
m⁴
MPa
MPa
L /

Example Data Table

Parameter Example Value Unit
Span length30m
Bridge width10m
Number of girders4-
Distribution per girder30%
Dead load, self weight18kN/m
Dead load, superimposed12kN/m
Live load, lane UDL9kN/m
Axle load180kN
Axle position12m
Impact factor25%
Typical maximum moment2703.864kN·m
Typical left reaction328.219kN

Formula Used

1) Factored girder dead load
wD,g = (wself + wsuper) × DF × γD
2) Factored girder live load
wL,g = wlive × DF × (1 + IM) × γL
3) Factored axle load on girder
Pg = P × DF × (1 + IM) × γL
4) Support reactions for a simply supported span
RL = wL/2 + P(L-a)/L
RR = wL/2 + Pa/L
5) Shear and moment along the span
V(x) = RL - wx - P for x ≥ a
M(x) = RLx - wx²/2 - P(x-a) for x ≥ a
6) Stress checks
Bending stress = M / Z
Shear stress ≈ V / Av
7) Midspan deflection
The calculator estimates midspan deflection using virtual work integration, based on the service-load moment diagram and EI.

This tool uses a simplified girder line method for fast preliminary assessment. Final bridge design should follow project codes, load models, combinations, and detailing checks.

How to Use This Calculator

  1. Enter span length, total bridge width, and number of girders.
  2. Choose the load share applied to the checked girder.
  3. Enter dead loads, live lane load, axle load, and axle location.
  4. Add impact and load factors for the governing design combination.
  5. Provide section modulus, web area, elastic modulus, and inertia.
  6. Set allowable bending stress, shear stress, and deflection limit.
  7. Press the calculate button to display reactions, stresses, and charts.
  8. Download the summary as CSV or PDF when needed.

FAQs

1. What bridge model does this calculator use?

This page uses a simply supported girder line model. It distributes bridge loads to one selected girder using a user-entered percentage. That makes it useful for quick checks, screening studies, and teaching examples.

2. Can I use this for final design approval?

No. It is meant for preliminary engineering checks. Final approval should use project-specific load models, distribution rules, fatigue checks, combinations, detailing requirements, and the governing bridge design code.

3. Why is the load distribution factor important?

Not every girder carries the whole bridge load. The distribution factor assigns a realistic share to the checked girder. Changing it directly affects reaction forces, moments, stresses, and serviceability predictions.

4. What is the impact factor in this calculator?

The impact factor represents dynamic amplification from moving vehicles. It increases the live load effects before the live load factor is applied. Higher impact factors raise reactions, moment, shear, and deflection results.

5. How is bending stress calculated?

Bending stress is calculated from the maximum design bending moment divided by the section modulus. This gives a quick flexural demand estimate for the checked girder section.

6. How is shear stress estimated?

Shear stress is approximated using maximum design shear divided by the effective web area. It is a simplified average shear check. Detailed web buckling and stiffener behavior are outside this tool’s scope.

7. Does the chart show both shear and moment?

Yes. The Plotly graph shows the shear force diagram and bending moment diagram together across the span. This helps you see where peak demand occurs and how the axle position changes the shape.

8. What should I do if utilization exceeds one?

A utilization above one means the calculated demand exceeds the selected allowable limit. You should review loads, section properties, load distribution, and design assumptions before moving ahead.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.