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10-116 Determine the products of inertia Iry, Iyas and Ix for the homogeneous steel (p = 7870 kg/m) block shown in Fig. P10-116. 100 mm 200 mm 200 mm 300 mm. Fig. P10-116

10-116 Determine the products of inertia Iry, Iyas and Ix for the homogeneous steel (p = 7870 kg/m) block shown in Fig. P10-116. 100 mm 200 mm 200 mm 300 mm. Fig. P10-116

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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10-116 Determine the products of inertia Iry, Iyas and Ix for the homogeneous steel (p = 7870 kg/m) block shown in Fig. P10-116. 100 mm 200 mm 200 mm 300 mm. Fig. P10-116
Transcribed Image Text:10-116 Determine the products of inertia Iry, Iyas and Ix for the homogeneous steel (p = 7870 kg/m) block shown in Fig. P10-116. 100 mm 200 mm 200 mm 300 mm. Fig. P10-116
Expert Solution
Step 1

Given :-

A block is shown with dimensions 

Density of the homogeneous steel = ρ=7870 kg/m3

To determine :-

The products of Inertia IXY , IYZ , IZX 

 

 

Step 2

Civil Engineering homework question answer, step 2, image 1

Mass of segment (1) will be 

m1=ρ×Vwhere,ρ = DensityV = Volumem1=7870×12×π×r2×hm1=7870×12×π×0.1002×0.200m1= 24.72 kg

Similarly,

Mass of segment (2) will be 

m2=ρ×Vwhere,ρ = DensityV = Volumem2=7870×12×π×r2×hm2=7870×12×0.300×0.200×0.200m2= 47.22 kg

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