Question

the cross section of a bearing block is shown in the figure by the shaded area. calculate the moment of inertia of the section about its base a-a.

Appendix A, Problem A/052 Multistep The cross section of a bearing block is shown in the figure by the shaded area. Calculate the moment of inertia of the section about its base a-a. 8" 5 8" 23"

Answer 1

5" 0 (90) # * 23" 111 3 8" O (11.5, 8) Is (11.5, 4) 76" . 8 d₂ f4 23" (Area 2) (Aria 3) (Asco 1) (11.5,4) .. Centroid of (n. y) = with respect to 0(oo) Centroid 2 f (11.5, 19+) (1. J2) = (ms. Js): Centroid (11.5,8) % Inastia Andra bh b: 23" A,d? Aria 1 : + e Moment of about (ana) 6 12 h = 8" di 3 (MOI), 5 23x8 23x 8 x4² 12 (MOI), - 11776 3 in"

2 13 Incrtia As ca 2 : r = 2 Moment about The 8 A do aa 32 + 8 3T 2 4 2 (MOI), T * 8 T + 8 (373) 8 Mor): 277 16.987 in" 2. Incafia Area Tir" Azda Moment about 니 Pag r = 5" dz . 8 a-a (MOI) IT x 5" + T x 5² x 8² 4 4 (MOI), 5517.422 in block: inertia =) Moment og of beaking (MOI), + (MOI). (MOI), (MOI), about base ara =) 26124.898 in" Beaning