OK so I'm practicsing some of the questions out of my text book for when I start my course in 2 weeks and finding this one pretty difficult, but here it goes.
Bestend Properties is refurbishing an old hospital that was built in the 1950's. The building's main structure is a steel frame. The company's structural engineers are trying to determine the strength of the existing floor beams by loading them up and measuring the deflection.
The Formula that relates to deflection to the strength and loadings on the beam is:
E - Is Young's Modulus (strength of material)
w - Is the measured uniformly distributed load on the beam
l - Is the moment of inertia of the beam (a constant due to the cross sectional shape)
L - Is the measured span of the beam.
y - Is the deflection of the loaded beam
After the on-site testing was done, it was discovered that some of the measuring equipment was wrongly calibrated. The errors that were discovered were as follows:
The span L was 5% too long.
The load w was 3% too low.
Using you knowledge of binomial theory, produce a formula to show the net percentage effect of these calibration errors on the value of E (Young's Modulus).
I'm not even sure where to start, if anyone could help me I would really appreciate it.