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4.2 Find the collapse load factors of the frames shown in figures 4.15a and 4.15b, assuming that plastic hinges form at midspan. Because of the UDLS these must be upper bounds; use limit analysis to find a range for the actual collapse load factor. 100A kN/m 500A kN 1500 kN m 4 m 1000 kN m 1000 kN m 200λ KΝ/m 500A kN 3000 kN m 4 m 1500 kN m 1500 kN m 10 m (a) Figure 4.15a

4.2 Find the collapse load factors of the frames shown in figures 4.15a and 4.15b, assuming that plastic hinges form at midspan. Because of the UDLS these must be upper bounds; use limit analysis to find a range for the actual collapse load factor. 100A kN/m 500A kN 1500 kN m 4 m 1000 kN m 1000 kN m 200λ KΝ/m 500A kN 3000 kN m 4 m 1500 kN m 1500 kN m 10 m (a) Figure 4.15a

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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4.2 Find the collapse load factors of the frames shown in figures 4.15a and 4.15b, assuming that plastic hinges form at midspan. Because of the UDLS these must be upper bounds; use limit analysis to find a range for the actual collapse load factor. 100A kN/m 500A kN 1500 kN m 4 m 1000 kN m 1000 kN m 200A kN/m 500A kN 3000 kN m 4 m 1500 kN m 1500 kN m 10 m (a) Figure 4.15a LIMIT ANALYSIS 89 Aw 2M, 2M, Aw M, Mp 2L 3Aw Aw 2M, 2 3M, Mp XwM, 2L 2 3L 3L (b) all loads are shown per unit fength Figure 4.15b
Transcribed Image Text:4.2 Find the collapse load factors of the frames shown in figures 4.15a and 4.15b, assuming that plastic hinges form at midspan. Because of the UDLS these must be upper bounds; use limit analysis to find a range for the actual collapse load factor. 100A kN/m 500A kN 1500 kN m 4 m 1000 kN m 1000 kN m 200A kN/m 500A kN 3000 kN m 4 m 1500 kN m 1500 kN m 10 m (a) Figure 4.15a LIMIT ANALYSIS 89 Aw 2M, 2M, Aw M, Mp 2L 3Aw Aw 2M, 2 3M, Mp XwM, 2L 2 3L 3L (b) all loads are shown per unit fength Figure 4.15b
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