Why start long
It is far easier to prune wire than to add it once the antenna is up. Leave 2–3 % extra on both the inner and outer sections and trim after the first measurements at operating height.
Starting dimensions for a classic two-band (or three-band) trap dipole. The traps isolate the outer wires on the higher band and let the whole length work on the lower band.
A trap is a parallel-resonant circuit that looks like a high impedance near its design frequency. On the higher band the traps effectively open the circuit, so the inner sections alone form a half-wave dipole. On the lower band the traps look more like a small series inductance and the outer wires come into play, lengthening the antenna to resonance.
Real traps are never perfect. Component Q, lead length, and the physical spacing of the trap affect both the isolation on the high band and the exact loading on the low band. That is why every trap dipole still needs careful trimming once it is in the air. Start long on both the inner and outer sections, raise the antenna, measure both frequencies, and trim in small equal steps while watching SWR.
Coaxial traps (a few turns of coax wound into a coil) are popular for home construction because the same coax provides both the inductance and the distributed capacitance. Commercial traps or discrete L-C traps also work. Whatever you use, keep the voltage rating well above the expected RF voltage at the trap location.
The traps sit at the ends of the higher-band half-wave. Outer length is chosen so that the whole (inner + trap + outer) is approximately a half-wave on the lower band, with a small allowance for the residual reactance of the traps.
It is far easier to prune wire than to add it once the antenna is up. Leave 2–3 % extra on both the inner and outer sections and trim after the first measurements at operating height.
A third pair of traps can be added for a third band (classically 80/40/20). The same principle applies: each successive outer section brings the next lower band into resonance. Complexity and interaction increase quickly, so many builders prefer a fan dipole or separate antennas beyond two bands.
After the lengths look close, check SWR and resonance on both bands with an analyser. The Antenna Trimmer tool helps translate a measured frequency offset into a length change.
Use the calculated lengths as a build starting point, then move to the tools that answer the next practical questions.