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A two-story frame, is braced in y axis (Ky=1) and is connected as moment frame for x axis as shown below. Assuming elastic behavior, and all steel has Fy-50ksi, determine following for column BF. a) Kx for column. b) The governing buckling axis. c) Failure mode in column (Inelastic or elastic global buckling). d) Design strength of the column according to LRFD method (Pn). e) If the column is adequate for the service dead load of 180K and live load of 240K. f) Use the kx value obtained in part a and select lightest HSS rectangular to replace W12x72. Compare the weight of selected section E A W18 X 35 W18 X 35 F 20' B W12 X 50 W12 X 72 W18 X 40 W18 X 50 30' G K 30' H 20' 15'

A two-story frame, is braced in y axis (Ky=1) and is connected as moment frame for x axis as shown below. Assuming elastic behavior, and all steel has Fy-50ksi, determine following for column BF. a) Kx for column. b) The governing buckling axis. c) Failure mode in column (Inelastic or elastic global buckling). d) Design strength of the column according to LRFD method (Pn). e) If the column is adequate for the service dead load of 180K and live load of 240K. f) Use the kx value obtained in part a and select lightest HSS rectangular to replace W12x72. Compare the weight of selected section E A W18 X 35 W18 X 35 F 20' B W12 X 50 W12 X 72 W18 X 40 W18 X 50 30' G K 30' H 20' 15'

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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**Analysis of a Two-Story Frame in Structural Engineering** This educational document examines the analysis of a two-story frame braced in the y-axis (Ky=1) and connected as a moment frame for the x-axis. The material used is steel with a yield strength, Fy, of 50 ksi. This analysis focuses on determining several key parameters for column BF in the structure. ### Objectives: a) **Kx for Column:** - Determine the effective length factor (Kx) for the column BF. b) **Governing Buckling Axis:** - Identify which axis is critical for buckling. c) **Failure Mode:** - Categorize the mode of failure as inelastic or elastic global buckling. d) **Design Strength:** - Calculate the design strength of the column using the Load and Resistance Factor Design (LRFD) method (ϕPn). e) **Adequacy for Service Loads:** - Check if the column can withstand a service dead load of 180K and a live load of 240K. f) **Replacement Column:** - Use the Kx value obtained in part (a) to find and compare the weight of the lightest Hollow Structural Section (HSS) rectangular section that can replace the W12x72. ### Structural Diagram: The diagram illustrates a two-story frame with the following specifications: - **Beams and Girders:** - Top Story (I-J-K-L): W18 x 35, W18 x 40 - Middle Beam (E-F-G-H): W18 x 35 - **Columns:** - BF: W12 x 72 - Other columns: W12 x 50 - **Dimensions:** - Width of each bay: 20 feet and 30 feet - Heights: 20 feet (top story), 15 feet (bottom story) The frame is connected to a stable ground as shown at points A, B, C, and D. It includes a moment frame and is visually outlined with fixed and pinned connections, typically used in frame analysis for stability and support considerations.
Transcribed Image Text:**Analysis of a Two-Story Frame in Structural Engineering** This educational document examines the analysis of a two-story frame braced in the y-axis (Ky=1) and connected as a moment frame for the x-axis. The material used is steel with a yield strength, Fy, of 50 ksi. This analysis focuses on determining several key parameters for column BF in the structure. ### Objectives: a) **Kx for Column:** - Determine the effective length factor (Kx) for the column BF. b) **Governing Buckling Axis:** - Identify which axis is critical for buckling. c) **Failure Mode:** - Categorize the mode of failure as inelastic or elastic global buckling. d) **Design Strength:** - Calculate the design strength of the column using the Load and Resistance Factor Design (LRFD) method (ϕPn). e) **Adequacy for Service Loads:** - Check if the column can withstand a service dead load of 180K and a live load of 240K. f) **Replacement Column:** - Use the Kx value obtained in part (a) to find and compare the weight of the lightest Hollow Structural Section (HSS) rectangular section that can replace the W12x72. ### Structural Diagram: The diagram illustrates a two-story frame with the following specifications: - **Beams and Girders:** - Top Story (I-J-K-L): W18 x 35, W18 x 40 - Middle Beam (E-F-G-H): W18 x 35 - **Columns:** - BF: W12 x 72 - Other columns: W12 x 50 - **Dimensions:** - Width of each bay: 20 feet and 30 feet - Heights: 20 feet (top story), 15 feet (bottom story) The frame is connected to a stable ground as shown at points A, B, C, and D. It includes a moment frame and is visually outlined with fixed and pinned connections, typically used in frame analysis for stability and support considerations.
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