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
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
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
handwritten solution only

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.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you


Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON

Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning


Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON

Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning

Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education


Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning