A propped cantilever of span L is carrying a vertical concentrated load acting at midspan. The plastic moment of the section is Mp. The magnitude of the collapse load is (a) 8Mp L (b) 6Mp L (c) 4Mp L (d) 2Mp L

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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### Problem Statement
A propped cantilever of span \( L \) is carrying a vertical concentrated load acting at midspan. The plastic moment of the section is \( M_P \). The magnitude of the collapse load is:

### Options
(a) \(\frac{8M_P}{L}\)

(b) \(\frac{6M_P}{L}\)

(c) \(\frac{4M_P}{L}\)

(d) \(\frac{2M_P}{L}\)

This problem is typically found in structural engineering examinations and is related to the calculation of the collapse load for a propped cantilever beam when a specific concentrated load is applied at its midpoint.

### Explanation
The goal is to determine which of the provided options correctly represents the magnitude of the collapse load for the given conditions. The condition described involves evaluating the plastic moment capacity to determine the maximum load that can be sustained by the propped cantilever before collapsing.
Transcribed Image Text:### Problem Statement A propped cantilever of span \( L \) is carrying a vertical concentrated load acting at midspan. The plastic moment of the section is \( M_P \). The magnitude of the collapse load is: ### Options (a) \(\frac{8M_P}{L}\) (b) \(\frac{6M_P}{L}\) (c) \(\frac{4M_P}{L}\) (d) \(\frac{2M_P}{L}\) This problem is typically found in structural engineering examinations and is related to the calculation of the collapse load for a propped cantilever beam when a specific concentrated load is applied at its midpoint. ### Explanation The goal is to determine which of the provided options correctly represents the magnitude of the collapse load for the given conditions. The condition described involves evaluating the plastic moment capacity to determine the maximum load that can be sustained by the propped cantilever before collapsing.
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