Reference Value Selection in a Perturbation Theory Applied to Nonuniform Beams

Table 1

Absolute percentage of error in moment and shear prediction of perturbation methods compared to analytical results.

Method	Moment at		Shear at		Moment at		Shear at		Moment at		Shear at
		Clamped-Clamped				Clamped-Free				Free-Free
1st Grad.	62.94%	44.40%	21.44%	17.84%	9.90%	35.02%	11.05%	33.43%	32.74%	0.89%	31.64%	2.54%
2nd Grad.	15.99%	5.32%	4.55%	0.67%	2.33%	7.73%	2.42%	6.87%	10.24%	0.32%	9.53%	0.82%
-Diff.	-	-	-	-	0.64%	1.89%	0.58%	1.36%	-	-	-	-
-Pert.	-	-	-	-	0.56%	1.60%	0.49%	1.09%	-	-	-	-
-Diff.	12.48%	9.04%	3.28%	2.06%	-	-	-	-	6.28%	0.22%	5.64%	0.52%
-Pert.	12.48%	9.04%	3.28%	2.06%	-	-	-	-	6.28%	0.22%	5.64%	0.52%