Beam Bending Point Load Fixed Calculator

Model fixed beam behavior for construction planning quickly. Compare strength, serviceability, stiffness, and support demands. Use clear results before sizing members or checking drawings.

Calculator Inputs

kN
m
m
GPa
cm⁴
cm³
MPa
L/

Formula Used

This calculator uses fixed-ended beam formulas for one vertical point load.

How To Use This Calculator

  1. Enter the service point load in kilonewtons.
  2. Enter the full fixed beam span in meters.
  3. Enter the load position from the left fixed support.
  4. Enter elastic modulus, moment of inertia, and section modulus.
  5. Add the allowable bending stress for a quick stress check.
  6. Set the load factor and deflection limit ratio.
  7. Press the calculate button and review the result above the form.
  8. Use CSV or PDF download options for saving the calculation.

Example Data Table

Point Load Span Load Position E I Load Factor Approximate Key Result
30 kN 6 m 3 m 200 GPa 8000 cm⁴ 1.5 RA = 22.5 kN, MA = -33.75 kN·m
20 kN 5 m 2 m 200 GPa 6000 cm⁴ 1.4 Unequal reactions and unequal end moments
45 kN 8 m 4 m 25 GPa 120000 cm⁴ 1.6 Centered load gives balanced reactions

Fixed Beam Point Load Basics

A fixed beam has restrained rotation at both ends. A point load creates shear, bending moment, and deflection along the span. This calculator studies that behavior for construction checks. It is useful when a beam is cast into supports, welded to frames, or designed with full end fixity.

Why End Fixity Matters

Fixed ends reduce midspan deflection when compared with simple supports. They also create negative end moments. These moments must be checked with the same care as the positive moment near the load. Ignoring them can understate steel stress, reinforcement demand, or connection forces.

Main Inputs

Enter the service point load, total span, and load position from the left support. Add the elastic modulus and second moment of area. These values control stiffness. Add section modulus and allowable bending stress when a stress check is needed. The load factor helps review a stronger design case while keeping service deflection clear.

Reading The Results

The calculator reports left and right reactions, fixed end moments, moment at the load, maximum bending stress, and largest deflection. Reactions should add up to the factored point load. End moments are shown as hogging values. The largest absolute moment controls bending stress. The deflection ratio compares span against calculated movement.

Construction Use

Use the numbers for preliminary sizing, checking member options, and discussing connection demands. Treat the result as a calculation aid, not a final structural design. Real beams may include partial fixity, distributed loads, cracking, lateral torsional buckling, composite action, or local connection flexibility. Those effects can change the result.

Good Practice

Check all units before submitting. Use realistic support assumptions. Fixed supports need strong restraint, not only bearing. Compare stress with project limits. Compare deflection with the required span ratio. Recalculate when the load moves, the beam size changes, or material stiffness changes. Keep the downloaded report with your design notes for review.

Limitations To Remember

The formulas assume a straight prismatic beam, small deflection, linear elastic behavior, and one vertical point load. They do not include load combinations or code reduction factors. For important work, have a qualified professional review support stiffness, bracing, material grade, and connection detailing before construction begins on site or fabrication starts safely.

FAQs

What is a fixed beam?

A fixed beam has supports that resist vertical movement and rotation. This creates end moments and usually lowers deflection when compared with a simply supported beam.

What does point load mean?

A point load is a concentrated force applied at one location. In real construction, it may represent a column reaction, wheel load, bracket load, or equipment support.

Why are fixed end moments negative?

Negative signs usually represent hogging moments at restrained supports. The sign helps show bending direction. The absolute value is commonly used for stress checks.

Can I place the load at midspan?

Yes. Enter half of the span as the load position. The reactions become equal, and both fixed end moments have the same magnitude.

Does the calculator include beam self weight?

No. This calculator focuses on one point load. Add self weight separately or use a beam tool that includes distributed load effects.

What units should I use?

Use kilonewtons for load, meters for span, gigapascals for elastic modulus, cm⁴ for moment of inertia, and cm³ for section modulus.

What is the deflection limit ratio?

It is a span based limit, such as L/360. A larger denominator gives a stricter limit and a smaller allowed deflection.

Can this replace structural design?

No. It is a calculation aid. Final design should consider codes, load combinations, bracing, connection stiffness, material grade, and professional review.

Related Calculators

Paver Sand Bedding Calculator (depth-based)Paver Edge Restraint Length & Cost CalculatorPaver Sealer Quantity & Cost CalculatorExcavation Hauling Loads Calculator (truck loads)Soil Disposal Fee CalculatorSite Leveling Cost CalculatorCompaction Passes Time & Cost CalculatorPlate Compactor Rental Cost CalculatorGravel Volume Calculator (yards/tons)Gravel Weight Calculator (by material type)

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.