Assignment

Fully Plastic Action
of A36 Steel

Flexure Results¹

¹ All calculations performed by Instron's "Series IX-Materials Testing Software."

Flexure Load-Displacement Diagram²

² Provided by Instron's "Series IX-Materials Testing Software."

Summary of Results

Experimental
Value τ_max τ_oct

Tensile Test σ_yp = 49.0 ksi³ 24.5 ksi 23.1 ksi

Torsion Test τ_yp = 24.3 ksi⁴ 24.3 ksi 19.8 ksi

Bending Test σ_yp = 51.1 ksi 25.6 ksi 24.1 ksi

³ From "Tension Test on Carbon Steel" experiment performed by Jeff Thomas several semesters ago. These results are no longer used in the tension lesson.
⁴ From "Elastic and Inelastic Torsion" experiment performed by Jeff Thomas several semesters ago. These results are still used in the torsion lesson.

Experimental
Ratio Maximum Shear
Stress Theory Maximum Octahedral
Shear Stress Theory Maximum Principal
Strain Theory Maximum Principal
Stress Theory

Theoretical
Ratio Percent
Difference Theoretical
Ratio Percent
Difference Theoretical
Ratio Percent
Difference Theoretical
Ratio Percent
Difference

0.496 0.500 0.8% 0.577 15.1% 0.800 46.9% 1.000 67.4%

0.476 0.500 4.9% 0.577 19.2% 0.800 50.8% 1.000 71.0%

		Experimental Value	τ_max	τ_oct
Tensile Test	σ_yp =	49.0 ksi³	24.5 ksi	23.1 ksi
Torsion Test	τ_yp =	24.3 ksi⁴	24.3 ksi	19.8 ksi
Bending Test	σ_yp =	51.1 ksi	25.6 ksi	24.1 ksi

Experimental Ratio	Maximum Shear Stress Theory		Maximum Octahedral Shear Stress Theory		Maximum Principal Strain Theory		Maximum Principal Stress Theory
Experimental Ratio	Theoretical Ratio	Percent Difference	Theoretical Ratio	Percent Difference	Theoretical Ratio	Percent Difference	Theoretical Ratio	Percent Difference
0.496	0.500	0.8%	0.577	15.1%	0.800	46.9%	1.000	67.4%
0.476	0.500	4.9%	0.577	19.2%	0.800	50.8%	1.000	71.0%