For a three point bend test, the bending angle of the beam has to be small - so small that (theta)=tan(theta).... this is necessary to make a substitution of the reciprocal radius of curvature 1/R = M/EI... which then can be assumed to be the second derivative of the beam deflection.
Might sound stupid, but would the bending angle assumption be measured in degrees or radians?
Im trying to bend amyloid fibrils (dia ~5nm over a 100nm trench). My data suggests that I get approx 10nm of deflection for a low applied load (~200pN). Therefore, the subtended bending angle tan(theta)=10/50=0.2; theta=11degrees... so would violate the bending theory derivation
however in radians, 11degrees is 0.19, which would suggest is within the boundaries of acceptability.
Any thoughts? experience etc..