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
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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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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