A hollow mast of circular section as shown is to be stiffened by bonding two strips of the same material and of rectangular section to the mast throughout its length. Determine the proper dimension h of each near-rectangle which will exactly double the stiffness of the mast to bending in the y-z plane. (Stiffness in the y-z plane is proportional to the area moment of inertia about the x-axis.) Take the inner boundary of each

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter9: Moments And Products Of Inertia Of Areas
Section: Chapter Questions
Problem 9.60P: Determine Iu for the inverted T-section shown. Note that the section is symmetric about the y-axis.
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A hollow mast of circular section as shown is to be stiffened by bonding two strips of the same material and of rectangular section to the mast throughout its length. Determine the proper dimension h of each near-rectangle which will exactly double the stiffness of the mast to bending in the y-z plane. (Stiffness in the y-z plane is proportional to the area moment of inertia about the x-axis.) Take the inner boundary of each strip to be a straight line.
Assume d = 100 mm, D = 215 mm, w = 50 mm.

A hollow mast of circular section as shown is to be stiffened by bonding two strips of the same material and of rectangular section to
the mast throughout its length. Determine the proper dimension h of each near-rectangle which will exactly double the stiffness of
the mast to bending in the y-z plane. (Stiffness in the y-z plane is proportional to the area moment of inertia about the x-axis.) Take
the inner boundary of each strip to be a straight line.
Assume d = 100 mm, D = 215 mm, w = 50 mm.
Answer:h =
i
mm
Transcribed Image Text:A hollow mast of circular section as shown is to be stiffened by bonding two strips of the same material and of rectangular section to the mast throughout its length. Determine the proper dimension h of each near-rectangle which will exactly double the stiffness of the mast to bending in the y-z plane. (Stiffness in the y-z plane is proportional to the area moment of inertia about the x-axis.) Take the inner boundary of each strip to be a straight line. Assume d = 100 mm, D = 215 mm, w = 50 mm. Answer:h = i mm
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