3.11 (B). A beam, 12 m long, is to be simply supported at 2m from each end and to carry a u.d.i. of 30KN/m together with a 30 kN point load at the right-hand end. For ease of transportation the beam is to be jointed in two places, one joint being situated 5 m from the left-hand end. What load (to the nearest kN) must be applied to the left- hand end to ensure that there is no B.M. at the joint (i.e. the joint is to be a point of contraflexure)? What will then be the bes position on the beam for the other joint? Determine the position and magnitude of the maximum B.M. present on the beam. [114 kN, 1.6 m from r.h. reaction; 4.7 m from Lh. reaction; 43.35 kN m.]
3.11 (B). A beam, 12 m long, is to be simply supported at 2m from each end and to carry a u.d.i. of 30KN/m together with a 30 kN point load at the right-hand end. For ease of transportation the beam is to be jointed in two places, one joint being situated 5 m from the left-hand end. What load (to the nearest kN) must be applied to the left- hand end to ensure that there is no B.M. at the joint (i.e. the joint is to be a point of contraflexure)? What will then be the bes position on the beam for the other joint? Determine the position and magnitude of the maximum B.M. present on the beam. [114 kN, 1.6 m from r.h. reaction; 4.7 m from Lh. reaction; 43.35 kN m.]
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:**Problem 3.11 (B): Beam Loading Analysis**
A beam, 12 meters long, is simply supported at 2 meters from each end and carries a uniformly distributed load (u.d.l.) of 30 kN/m, along with a 30 kN point load at the right-hand end.
**Objective:**
1. Determine the load (to the nearest kN) that must be applied to the left-hand end to ensure there is no Bending Moment (B.M.) at the joint, aiming for it to be a point of contraflexure.
2. Identify the best position on the beam for the other joint.
3. Determine the position and magnitude of the maximum Bending Moment present on the beam.
**Additional Information:**
- The beam is to be joined in two places, with one joint situated 5 meters from the left-hand end.
**Solution Summary:**
- Calculated Load: 114 kN
- Optimum Joint Position: 1.6 meters from the right-hand reaction
- Maximum B.M. Position: 4.7 meters from the left-hand reaction
- Maximum B.M. Magnitude: 43.35 kNm
This problem involves determining the distribution of loads and bending moments on a beam to optimize its structural efficiency and ensure safe engineering design.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 3 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