read the result
What this beam check tells you.
The load case combines a full-span uniformly distributed load with one point load at midspan. The output gives the classic first-pass actions and serviceability movement for the idealised beam.
Governing equations
Mmax = wL²/8 + PL/4. Vmax = wL/2 + P/2. For constant elastic properties, δmid = 5wL⁴/(384EI) + PL³/(48EI).
Worked example using the starting values
For L = 6 m, w = 8 kN/m, P = 10 kN, E = 200 GPa and I = 50,000 cm⁴: Mmax = 8 × 6²/8 + 10 × 6/4 = 51 kN·m; Vmax = 8 × 6/2 + 10/2 = 29 kN. The elastic midspan deflection is 1.8 mm. Against the tool’s L/360 screen (16.7 mm here), that deflection is below the threshold; this is only the displayed movement screen, not a member-capacity check.
Assumptions and common slips
The result assumes simple supports, a full-span UDL, a central point load, constant E and I, and small elastic deflection. Keep kN/m, kN, m, GPa and cm⁴ in their labelled inputs; do not treat the midpoint-load formula as valid for an off-centre load, or the L/360 screen as a project specification.
Use it before the full design.
- Confirm the actual support condition and load position.
- Check load combinations, self-weight, lateral stability, shear capacity, vibration, and code limits separately.
- Use the project’s material properties and section properties rather than relying on the example values.