Step-by-step solved example
Rectangle 100 mm × 300 mm. Least k about a centroidal axis?
1. Weak I
I_min=300×100³/12=25×10^6 mm⁴, A=30,000 mm².
2. k
k = √(25×10^6 / 30000) = √833.33 = 28.87 mm, reported as ≈ 29 mm.
Answer: k_min ≈ 29 mm
Rectangle 100 mm × 300 mm. Least k about a centroidal axis?
1. Weak I
I_min=300×100³/12=25×10^6 mm⁴, A=30,000 mm².
2. k
k = √(25×10^6 / 30000) = √833.33 = 28.87 mm, reported as ≈ 29 mm.
Answer: k_min ≈ 29 mm
1.k² equals
2.For a rectangle b×h, k about centroidal axis parallel to b is
3.Slenderness KL/r uses
4.Circle radius R: k about centroidal diameter is
5.Parallel-axis I = Ī + Ad² does not change the definition of
6.Units of k are
7.If A doubles and I doubles, k
8.Polar radius of gyration ko satisfies
9.A thin ring radius R about its center has k ≈
10.Least r of a W-shape is listed in