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The beam-column in Figure 1 is a member of a braced frame. A second-order analysis was performed with factored loads and reduced member stiffnesses to obtain the moments and axial force shown (i.e., moment amplification factor is not required). Use LRFD and determine whether this member is adequate. Pu= 285 kips, Mu-top= 120 ft-k, Mu-bot = 112 ft-k Figure 1: 15' 285 k 120 ft-k W10 X 60 K₁ = K₂ = = 1.0

The beam-column in Figure 1 is a member of a braced frame. A second-order analysis was performed with factored loads and reduced member stiffnesses to obtain the moments and axial force shown (i.e., moment amplification factor is not required). Use LRFD and determine whether this member is adequate. Pu= 285 kips, Mu-top= 120 ft-k, Mu-bot = 112 ft-k Figure 1: 15' 285 k 120 ft-k W10 X 60 K₁ = K₂ = = 1.0

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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### Educational Content on Beam-Column Analysis --- ## Beam-Column Analysis for Braced Frame Members The beam-column in Figure 1 is a member of a braced frame. A second-order analysis was performed with factored loads and reduced member stiffnesses to obtain the moments and axial force shown (i.e., moment amplification factor is **not** required). Use LRFD (Load and Resistance Factor Design) and determine whether this member is adequate. ### Given Data: - \( P_u = 285 \text{ kips} \) - \( M_{u_{\text{top}}} = 120 \text{ ft-k} \) - \( M_{u_{\text{bot}}} = 112 \text{ ft-k} \) ### Figure 1 Description: Figure 1 illustrates a beam-column with the following characteristics: - Top axial load \( P_u = 285 \text{k} \) - Moment at the top \( M_{u_{\text{top}}} = 120 \text{ ft-k} \) - Moment at the bottom \( M_{u_{\text{bot}}} = 112 \text{ ft-k} \) - The column length is 15 feet. - The column section is designated as \( \text{W10} \times \text{60} \). - The effective length factors for both the x and y axes, \( K_x \) and \( K_y \), are both equal to 1.0. ### Detailed Explanation of Figure 1: 1. **Axial Load and Moments:** - The vertical arrow pointing downward indicates an axial load \( P_u \) of 285 kips acting on the column. - At the top of the column, there is a moment denoted \( M_{u_{\text{top}}} \) equal to 120 ft-k. - At the bottom of the column, there is a moment denoted \( M_{u_{\text{bot}}} \) equal to 112 ft-k. 2. **Geometry and Section:** - The height of the column is represented as 15 feet. - The column section is identified as \( \text{W10} \times \text{60} \), which specifies the size and weight per unit length of the column. 3. **Effective Length Factors:** - The parameters \( K_x \) and \( K_y \) are
Transcribed Image Text:### Educational Content on Beam-Column Analysis --- ## Beam-Column Analysis for Braced Frame Members The beam-column in Figure 1 is a member of a braced frame. A second-order analysis was performed with factored loads and reduced member stiffnesses to obtain the moments and axial force shown (i.e., moment amplification factor is **not** required). Use LRFD (Load and Resistance Factor Design) and determine whether this member is adequate. ### Given Data: - \( P_u = 285 \text{ kips} \) - \( M_{u_{\text{top}}} = 120 \text{ ft-k} \) - \( M_{u_{\text{bot}}} = 112 \text{ ft-k} \) ### Figure 1 Description: Figure 1 illustrates a beam-column with the following characteristics: - Top axial load \( P_u = 285 \text{k} \) - Moment at the top \( M_{u_{\text{top}}} = 120 \text{ ft-k} \) - Moment at the bottom \( M_{u_{\text{bot}}} = 112 \text{ ft-k} \) - The column length is 15 feet. - The column section is designated as \( \text{W10} \times \text{60} \). - The effective length factors for both the x and y axes, \( K_x \) and \( K_y \), are both equal to 1.0. ### Detailed Explanation of Figure 1: 1. **Axial Load and Moments:** - The vertical arrow pointing downward indicates an axial load \( P_u \) of 285 kips acting on the column. - At the top of the column, there is a moment denoted \( M_{u_{\text{top}}} \) equal to 120 ft-k. - At the bottom of the column, there is a moment denoted \( M_{u_{\text{bot}}} \) equal to 112 ft-k. 2. **Geometry and Section:** - The height of the column is represented as 15 feet. - The column section is identified as \( \text{W10} \times \text{60} \), which specifies the size and weight per unit length of the column. 3. **Effective Length Factors:** - The parameters \( K_x \) and \( K_y \) are
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