### Analysis of a Braced Frame Member#### Problem StatementA member in a braced frame supports an axial compressive load along with end moments that induce bending about both principal axes of the member. Given that \( K_x = K_y = 1.0 \), we are tasked with determining whether a W14x82 section is adequate to support the load conditions.#### Load and Moment Details- **Axial Load**: The member is subjected to an axial compressive load of 140 kips.- **End Moments**: There are significant end moments acting about both principal axes at the top and bottom of the member. The magnitudes of these moments are: - At the top of the member: - \( M_{ux} = 150 \) ft-kips - \( M_{uy} = 150 \) ft-kips - At the bottom of the member: - \( M_{ux} = 75 \) ft-kips - \( M_{uy} = 75 \) ft-kips- **Length of Member**: The overall height of the truss member is 16 feet.The provided diagram (Figure 4) visually represents these load conditions:1. **Axial Load**: A downward axial load of 140 kips is applied at the top of the member.2. **Moment at Top**: Both the moment about the x-axis (\( M_{ux} \)) and the moment about the y-axis (\( M_{uy} \)) are 150 ft-kips.3. **Moment at Bottom**: Both the moment about the x-axis (\( M_{ux} \)) and the moment about the y-axis (\( M_{uy} \)) are 75 ft-kips.4. **Length Specification**: The member length is marked as 16 feet.This data is essential for performing a detailed structural analysis to determine the adequacy of the selected section (W14x82) using methods such as interaction equations or moment magnification factors, considering combined axial and bending loads. **Figure 4: Schematic of the member with axial load and moments**By understanding these loading conditions and performing the appropriate calculations, engineers can ensure the structural integrity and safety of the member within the braced frame system.

Point load, Length of the member, L = 16'Moment at top,Moment at bottom,Kx=ky=1Assume A992 steel,…

A member in a braced frame supports an axial compressive load and end moments that causes bending about both axes of the member. Kx = Ky = 1.0. Is W14×82 adequate? 140 k 16' Mux Muy = 150 ft-k = 150 ft-k M... = 75 ft-k ux M = 75 ft-k

A member in a braced frame supports an axial compressive load and end moments that causes bending about both axes of the member. Kx = Ky = 1.0. Is W14×82 adequate? 140 k 16' Mux Muy = 150 ft-k = 150 ft-k M... = 75 ft-k ux M = 75 ft-k

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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