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As shown, an I-beam (Figure 2) has a bottom flange that is 350 mm x 70.0 mm, a web that is 70.0 mm x 350 mm, and top flange that is 175 mm x 70.0 mm. Determine the moment of inertia of the I-beam about the horizontal centroidal axis using the parallel-axis theorem. Express your answer to three significant figures and include the appropriate units.

As shown, an I-beam (Figure 2) has a bottom flange that is 350 mm x 70.0 mm, a web that is 70.0 mm x 350 mm, and top flange that is 175 mm x 70.0 mm. Determine the moment of inertia of the I-beam about the horizontal centroidal axis using the parallel-axis theorem. Express your answer to three significant figures and include the appropriate units.

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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Learning Goal: To he ahle to calculate the moment of inertia of Figure m n n m *n 1 of 2> m As shown, an I-beam (Figure 2) has a bottom flange that is 350 mm x 70.0 mm, a web that is 70.0 mm x 350 mm, and top flange that is 175 mm x 70.0 mm. Determine the moment of inertia of the I-beam about the horizontal centroidal axis using the parallel-axis theorem. Express your answer to three significant figures and include the appropriate units. View Available Hint(s) I₂ = Submit O μÀ Value Provide Feedback Units ? Next >
Transcribed Image Text:Learning Goal: To he ahle to calculate the moment of inertia of Figure m n n m *n 1 of 2> m As shown, an I-beam (Figure 2) has a bottom flange that is 350 mm x 70.0 mm, a web that is 70.0 mm x 350 mm, and top flange that is 175 mm x 70.0 mm. Determine the moment of inertia of the I-beam about the horizontal centroidal axis using the parallel-axis theorem. Express your answer to three significant figures and include the appropriate units. View Available Hint(s) I₂ = Submit O μÀ Value Provide Feedback Units ? Next >
> Course Home <Assignment 25a (See Canvas for 25b) Problem 1 Learning Goal: To be able to calculate the moment of inertia of composite areas. An object's moment of inertia is calculated analytically via integration, which involves dividing the object's area into the elemental strips that are parallel to the axes and then performing the integration of the strip's moment of inertia In practice, engineers often encounter structural members that have areas composed of the common geometric shapes, such as rectangles, triangles, and circles, whose areas, centroidal locations, and moments of inertia about their centroidal axes are either known or can be calculated easily. Determining the moment of inertia of a composite area with respect to any axis is based on the following definitions: Figure 24 124,723 E- F 771 → GUBBEY FaceTime Video 31:40 7 R m % 5 1 of 2 MAY 2 T > - 6 Review A composite area consisting of the rectangle, semicircle, and a triangular cutout is shown (Figure 1). Calculate the moment of inertia of the triangle with respect to the x axis. The dimensions are m= 100 mm and n = 50.0 mm. Express your answer to three significant figures and include the appropriate units. View Available Hint(s) I₂ = 4.17x100 mm Submi Previous Answers ✓ Correct The parallel-axis theorem is 1₂ = 1₂+Ad² I= Iy+Ad? where I and Iy are the moments of inertia of an area about its centroidal axes, A is the entire area, and d, and d, are the perpendicular distances between the parallel axes. Part B - Moment of inertia of the composite area about the x axis Y The parallel-axis theorem relates the moment of inertia of an area about an axis passing through the area's centroid to the moment of inertia of the area about a corresponding parallel axis. The moment of inertia of the triangular shaped area is I₂ = 4.17 x 100 mm. Given m = 100 mm and n = 50.0 mm, calculate the moment of inertia of the shaded area shown (Eigure 1) about the x axis. Express your answer to three significant figures and include the appropriate units. View Available Hint(s) I, 1.02x108 mm MacBook Pro Leave & A 7 U A CAD Live Photo * 8 ( 9 < W O ) 1 of 3 > 0 + 38 P = delete
Transcribed Image Text:> Course Home <Assignment 25a (See Canvas for 25b) Problem 1 Learning Goal: To be able to calculate the moment of inertia of composite areas. An object's moment of inertia is calculated analytically via integration, which involves dividing the object's area into the elemental strips that are parallel to the axes and then performing the integration of the strip's moment of inertia In practice, engineers often encounter structural members that have areas composed of the common geometric shapes, such as rectangles, triangles, and circles, whose areas, centroidal locations, and moments of inertia about their centroidal axes are either known or can be calculated easily. Determining the moment of inertia of a composite area with respect to any axis is based on the following definitions: Figure 24 124,723 E- F 771 → GUBBEY FaceTime Video 31:40 7 R m % 5 1 of 2 MAY 2 T > - 6 Review A composite area consisting of the rectangle, semicircle, and a triangular cutout is shown (Figure 1). Calculate the moment of inertia of the triangle with respect to the x axis. The dimensions are m= 100 mm and n = 50.0 mm. Express your answer to three significant figures and include the appropriate units. View Available Hint(s) I₂ = 4.17x100 mm Submi Previous Answers ✓ Correct The parallel-axis theorem is 1₂ = 1₂+Ad² I= Iy+Ad? where I and Iy are the moments of inertia of an area about its centroidal axes, A is the entire area, and d, and d, are the perpendicular distances between the parallel axes. Part B - Moment of inertia of the composite area about the x axis Y The parallel-axis theorem relates the moment of inertia of an area about an axis passing through the area's centroid to the moment of inertia of the area about a corresponding parallel axis. The moment of inertia of the triangular shaped area is I₂ = 4.17 x 100 mm. Given m = 100 mm and n = 50.0 mm, calculate the moment of inertia of the shaded area shown (Eigure 1) about the x axis. Express your answer to three significant figures and include the appropriate units. View Available Hint(s) I, 1.02x108 mm MacBook Pro Leave & A 7 U A CAD Live Photo * 8 ( 9 < W O ) 1 of 3 > 0 + 38 P = delete
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