For the composite beam section in Figure Q6a, calculate the second moment of area about its centroidal x-x axis (Ixx centroid), where b₁ = 125.50 mm, b₂ = 25.75 mm, b3 = 36.35 mm, d₁ = 78.00 mm and d₂ = 24.00 mm Give your answer to 2 decimal places. b2 →→ O d2 b1 b3 Figure 6a d1 X

For the composite beam section in Figure Q6a, calculate the second moment of area about its centroidal x-x axis (Ixx centroid), where b₁ = 125.50 mm, b₂ = 25.75 mm, b3 = 36.35 mm, d₁ = 78.00 mm and d₂ = 24.00 mm Give your answer to 2 decimal places. b2 →→ O d2 b1 b3 Figure 6a d1 X

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter9: Moments And Products Of Inertia Of Areas

Section: Chapter Questions

Problem 9.13P: Figure (a) shows the cross section of a column that uses a structural shape known as W867...

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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

For the composite beam section in Figure Q6a, calculate the second moment of area
about its centroidal x-x axis (Ixx centroid), where b₁ = 125.50 mm, b₂ = 25.75 mm,
b3 = 36.35 mm, d₁ = 78.00 mm and d₂ = 24.00 mm Give your answer to 2 decimal
places.
b2
y
dz
b1
b3
Figure Q6a
d1
X

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Step 1: Introduction and given data

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Step 2: Calculation for the centroid of the cross-section

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Step 3: Calculation for the Moment of inertia about centroidal xx-axis

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