Beam gauges have been used in the last decade or so far measuring the inter
nal azimuthal compressive coil stresses in superconducting magnets, In earl
y model Large Hadron Collider Interaction Region (LHC IR) quadrupoles teste
d at Fermilab, the beam gauges indicated excessively high amounts of inner
and outer coil prestress during the collaring process, inconsistent with th
e coil size and modulus data. In response to these measurements, a simple m
echanics based quantitative understanding of different factors affecting be
am gauges has been developed. A finite element model with contact elements
and non-linear material behavior, confirmed with experimental results, was
developed. The results indicate that a small plastic deformation of either
the beam or the backing plate can cause significant errors in the measured
stress values. The effect of variations in coil modulus and support boundar
y conditions on beam gauge performance are also discussed.