For the cross section of a culvert shown in figure, compute the moment of inertia about the horizontal X axis. Assume all dimensions in cm. ESM Assignment 21. Determine the centroid of the lines that form the boundary of the shaded area as shownin figure below. Assume all dimensions in cm.(8 = 5.26 cm; ỹ = 5.41 cm)122. Locate the centroid of the shaded area (figure below) created by cutting a semicircle ofdiameter r from a quarter circle of radius r.(E = 0.636r; ỹ = 0.348r)3. For the cross section of a culvert shown in figure, compute the moment of inertiaabout the horizontal X axis. Assume all dimensions in cm.(kx = 90.8 cm)

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Answered: 1. Determine the centroid of the lines…

1. Determine the centroid of the lines that form the boundary of the shaded area as shown in figure below. Assume all dimensions in cm. (8 = 5.26 cm; 9 = 5.41 cm) 17 AM

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

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter8: Centroids And Distributed Loads

Section: Chapter Questions

Problem 8.38P: The equation of the catenary shown is y = 100 cosh (x/100) where x and y are measured in feet (the...

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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 cross section of a culvert shown in figure, compute the moment of inertia about the horizontal X axis. Assume all dimensions in cm.

ESM Assignment 2
1. Determine the centroid of the lines that form the boundary of the shaded area as shown
in figure below. Assume all dimensions in cm.
(8 = 5.26 cm; ỹ = 5.41 cm)
12
2. Locate the centroid of the shaded area (figure below) created by cutting a semicircle of
diameter r from a quarter circle of radius r.
(E = 0.636r; ỹ = 0.348r)
3. For the cross section of a culvert shown in figure, compute the moment of inertia
about the horizontal X axis. Assume all dimensions in cm.
(kx = 90.8 cm)

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