Shear Force Calculator

Fast beam shear checks for typical site loading cases. Exportable results. Clear sign convention. Practical units. Reliable reactions. Consistent reporting. Verified math every time.

White theme Simply supported beam Point loads + UDL
Inputs
Enter loads and positions. Use consistent beam support assumptions.
Fields marked * are required.


UDL is assumed downward when enabled.
Formula used

The beam is treated as simply supported with vertical reactions at both ends. All enabled loads are assumed downward, and reactions act upward.

Positive shear follows your selected sign convention for the left face.

How to use this calculator
  1. Enter the span length and the section position where shear is required.
  2. Enable point loads, then enter each load magnitude and its distance from the left.
  3. Enable the UDL if needed, and set its intensity, start, and end positions.
  4. Choose the positive shear direction, then calculate to view reactions and V(x).
  5. Use CSV or PDF export for reports, checks, and site records.
Example data table
Case Span L (m) Point Loads UDL w (kN/m) UDL Range (m) Section x (m) R1 (kN) R2 (kN) V(x) (kN)
Example A 6 P1=12 kN at 2 m 2 0 to 6 3 10.00 14.00 −8.00
Example B 5 P1=8 kN at 2 m; P2=6 kN at 4 m 0 3 6.40 7.60 −1.60
Example C 4 3 1 to 4 2 4.88 4.12 1.88

Example values are illustrative; verify assumptions for your design case.

Professional article

1) Why shear force matters on site

Shear force is the internal “sliding” action that develops when loads try to move one part of a beam past another. On site, shear commonly governs near supports and at load introduction points, where diagonal cracking, web crushing, and connection distress can begin.

2) Typical inputs used in fast checks

Practical checks start with span length, load magnitudes, and their locations from the left support. This tool handles three point loads and a UDL segment, matching common cases like equipment, stacked materials, and floor loading. Include self-weight only if it is not already in your load schedule and confirm tributary width for line loads.

3) Reactions from equilibrium with usable numbers

Reactions come from balancing forces and moments. For example, a 12 kN point load at 2 m contributes 24 kN·m about the left. A 2 kN/m load over 6 m totals 12 kN acting at 3 m. Conversions keep units consistent through the calculation.

4) Section shear V(x) and sign convention

Once reactions are known, shear at a section equals the left reaction minus all loads to the left of that section. Because drawings and standards vary, you can choose whether positive shear on the left face is upward or downward.

5) Data checkpoints to verify inputs

Confirm that R1 + R2 equals total applied load. The shear diagram should step down by each point load. Under a full-span UDL, shear changes linearly with slope −w, and should approach zero near the far support (rounding aside). If numbers look odd, recheck units, load positions, and whether a load is enabled.

6) Peak shear and detailing impact

Peak shear typically occurs at a support or immediately next to a concentrated load. The calculator probes key locations around load points and UDL boundaries to estimate the maximum magnitude for quick review, supporting decisions on stirrup spacing, web reinforcement, and bearing checks.

7) Where this approach fits in construction

Use it for screening lintels, temporary beams, joists under mixed loading, and quick QA checks. For cantilevers, fixed ends, or continuous spans, treat the output as preliminary and confirm with a full structural model.

8) Reporting and audit trail

CSV supports logs and spreadsheets, while the PDF provides a printable summary for site folders. Always record assumptions: support condition, load direction, and measurement references, plus the load case name, date, and checker initials, so reviewers can reproduce the check.

FAQs

1) What beam type does the calculator assume?

It assumes a simply supported beam with vertical reactions at both ends. It does not model fixed ends, cantilevers, or continuity across multiple spans.

2) Can I model partial distributed loading?

Yes. Enable the UDL and enter start and end positions. The tool applies the load only over that segment and includes its centroid in the reaction calculation.

3) Why is shear highest near supports?

Reactions concentrate at supports to balance total applied load. Since shear starts from the reaction value, the largest magnitude often occurs at or near a support, especially under distributed loading.

4) How should I choose the section position x?

Pick x at locations of interest: near supports, at load application points, at openings, or where detailing changes. For quick checks, evaluate x just to the left and right of point loads.

5) What does a negative V(x) mean?

Negative means the calculated shear opposes your selected positive direction on the left face. If your office convention differs, switch the sign option to match your reporting.

6) Are the example table values guaranteed for my project?

No. The table is illustrative only. Your results depend on actual spans, loads, and support conditions. Always verify boundary conditions and load paths before design decisions.

7) Does the export include every load I entered?

The exports summarize key inputs and computed results. For a full audit trail, also save your load schedule and the assumed positions used during the check.

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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.