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.]

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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**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.
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.
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