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TS 500 beam / slab deflection

Immediate and long-term deflection of a simply-supported flexural member using the Branson effective moment of inertia (TS 500 §13.2).

Inputs

Max service moment MmaxkN·m

Sustained momentkN·m

Span Lm

Width bmm

Depth hmm

Eff. depth dmm

As tensionmm²

As compressionmm²

fckMPa

Results

Ec [MPa]—

Mcr [kN·m]—

Ief / Ig—

Immediate δi [mm]—

Long-term δt [mm]—

L/δt—

Citations

§3.3Ec = 3250·√fck + 14000 MPa; fctf = 0.70·√fck.

§13.2Branson: Ief = (Mcr/M)³·Ig + [1−(Mcr/M)³]·Icr ≤ Ig; λ = ξ/(1+50ρ′).

VERIFYVerified: Ec(C30)=31800 MPa; uncracked→Ig; cracked→Icr<Ief<Ig; long-term>immediate.

Engine: rc-tr.js v0.1.0 · Code pack: TR-TS500-2000-RC.v1 · Date:

Beam flexure

Preliminary calculation tool. Results are for preliminary sizing and cross-check only. Final design, sealed responsibility, and permit submissions require the full official text of the referenced regulations and the review of a licensed engineer.