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for the section below, determine the moment of inertia and the radius of gyration with respect to the horizontal centroidal axis. the properties of of w14 X61 include: Ain^2= 17.9 d in = 13.9 and others listed on the given picture on the top and bottom of the figure are 12in by 1in plates

for the section below, determine the moment of inertia and the radius of gyration with respect to the horizontal centroidal axis. the properties of of w14 X61 include: Ain^2= 17.9 d in = 13.9 and others listed on the given picture on the top and bottom of the figure are 12in by 1in plates

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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for the section below, determine the moment of inertia and the radius of gyration with respect to the horizontal centroidal axis.

the properties of of w14 X61 include:

Ain^2= 17.9

d in = 13.9

and others listed on the given picture

on the top and bottom of the figure are 12in by 1in plates

### Structural Beam Diagram This diagram illustrates a configuration involving a central I-beam flanked by horizontal plates. Key elements are labeled with measurements and specifications: 1. **Top and Bottom Plates**: - Each of these horizontal components is labeled as a "12 in by 1 in Plate," indicating that both the top and bottom plates measure 12 inches in length and 1 inch in thickness. 2. **Central I-Beam**: - This component is labeled "W14x61," which is a standard designation for a structural I-beam. The "W" indicates a wide flange shape, "14" refers to the nominal depth in inches, and "61" signifies the weight in pounds per foot. The diagram is a simplified, hand-drawn representation with measurements provided to give a clearer understanding of the structural elements and their dimensions.
Transcribed Image Text:### Structural Beam Diagram This diagram illustrates a configuration involving a central I-beam flanked by horizontal plates. Key elements are labeled with measurements and specifications: 1. **Top and Bottom Plates**: - Each of these horizontal components is labeled as a "12 in by 1 in Plate," indicating that both the top and bottom plates measure 12 inches in length and 1 inch in thickness. 2. **Central I-Beam**: - This component is labeled "W14x61," which is a standard designation for a structural I-beam. The "W" indicates a wide flange shape, "14" refers to the nominal depth in inches, and "61" signifies the weight in pounds per foot. The diagram is a simplified, hand-drawn representation with measurements provided to give a clearer understanding of the structural elements and their dimensions.
**Appendix A: Selected W Shapes - Dimensions and Properties** **Table A.1 U.S. Customary Units (Continued)** | Designation | A (in²) | d (in.) | tw (in.) | bf (in.) | tf (in.) | Ix (in⁴) | Sx (in³) | rx (in.) | Zx (in³) | |-------------|---------|--------|---------|---------|---------|---------|---------|---------|---------| | W14 × 132 | 38.8 | 14.7 | 0.645 | 14.7 | 1.03 | 1530 | 209 | 6.28 | 234 | | W14 × 109 | 32.0 | 14.3 | 0.525 | 14.6 | 0.86 | 1240 | 173 | 6.22 | 192 | | W14 × 90 | 26.5 | 14.0 | 0.440 | 14.5 | 0.71 | 999 | 143 | 6.14 | 157 | | W14 × 82 | 24.1 | 13.9 | 0.450 | 10.0 | 0.785 | 795 | 112 | 6.04 | 134 | | W14 × 61 | 17.9 | 13.9 | 0.375 | 10.0 | 0.645 | 640 | 92.1 | 5.98 | 102 | | W14 × 48 | 14.1 | 13.8 | 0.340 | 8.03 | 0.595 | 484 | 70.2 | 5.85 | 78.4 | | W14 × 34 | 10.0 | 14.0 | 0.285 | 6.75 | 0.455 | 340 | 48.6 | 5
Transcribed Image Text:**Appendix A: Selected W Shapes - Dimensions and Properties** **Table A.1 U.S. Customary Units (Continued)** | Designation | A (in²) | d (in.) | tw (in.) | bf (in.) | tf (in.) | Ix (in⁴) | Sx (in³) | rx (in.) | Zx (in³) | |-------------|---------|--------|---------|---------|---------|---------|---------|---------|---------| | W14 × 132 | 38.8 | 14.7 | 0.645 | 14.7 | 1.03 | 1530 | 209 | 6.28 | 234 | | W14 × 109 | 32.0 | 14.3 | 0.525 | 14.6 | 0.86 | 1240 | 173 | 6.22 | 192 | | W14 × 90 | 26.5 | 14.0 | 0.440 | 14.5 | 0.71 | 999 | 143 | 6.14 | 157 | | W14 × 82 | 24.1 | 13.9 | 0.450 | 10.0 | 0.785 | 795 | 112 | 6.04 | 134 | | W14 × 61 | 17.9 | 13.9 | 0.375 | 10.0 | 0.645 | 640 | 92.1 | 5.98 | 102 | | W14 × 48 | 14.1 | 13.8 | 0.340 | 8.03 | 0.595 | 484 | 70.2 | 5.85 | 78.4 | | W14 × 34 | 10.0 | 14.0 | 0.285 | 6.75 | 0.455 | 340 | 48.6 | 5
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