**Problem Explanation:**The task involves determining where to load a beam labeled as ABC with a uniform distributed live load of 300 lb/ft in order to achieve specific conditions:1. **Objective (a):** Find the loading position that results in the largest live moment at point A.2. **Objective (b):** Determine the loading position that causes the largest live shear at point D.**Requirements:**- Calculate the values of the maximum moment and shear. **Given Conditions:**- The beam has the following supports: - **A:** Fixed support - **B:** Pinned support - **C:** Roller support- Beam Segments: - **AB:** 16 ft long (composed of two 8 ft segments) - **BC:** 20 ft long**Diagram Explanation:**- The diagram depicts a horizontal beam ABC supported at three points: A, B, and C.- The beam is segmented as follows: segment AB is between points A and B (16 feet in total, split into two 8 feet sections), and segment BC extends from B to C (20 feet).- A downward arrow at the top of the beam denotes the uniform distributed load applied over a specific length.- The problem involves analyzing the effects of this load positioning on the structural integrity at specified points.

Muller Breslau principle involves drawing the deflected shapes corresponding to the internal/external force for construction of ILDs. For bending moment at A, draw the deflected shape by giving a unit rotation at A. For Shear at D, Give unit relative displacement at D and draw the deflected shape. Maximum live moment at A = 86400 lb-ft Maximum live shear at D = 5400 lb

Engineering

Civil Engineering

(4) Where should the beam ABC be loaded with a 300-lb/ft uniform distributed live load so it causes (a) the largest live moment at point A and (b) the largest live shear at D? Calculate the values of the maximum moment and shear. Assume the support at A is fixed, B is pinned and C is a roller. -8f- D -8f- -20 ft- С

(4) Where should the beam ABC be loaded with a 300-lb/ft uniform distributed live load so it causes (a) the largest live moment at point A and (b) the largest live shear at D? Calculate the values of the maximum moment and shear. Assume the support at A is fixed, B is pinned and C is a roller. -8f- D -8f- -20 ft- С

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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Concept explainers

Mechanics of Solids

It is the study of the behavior of solid materials, their characteristics under various circumstances such as variation in external forces, temperature, and other internal factors. It is one of most important study in the field of engineering science, especially chemistry and mechanical engineering. In rigid body, the idealization of the solid body in which deformation is neglected. Deformation is known as the force acting on the solid state system which exerts change in its shape of the body but it continues to be at rest or in a uniform motion but it cannot accelerate. But those solid systems do have elasticity, compressibility and can be bent. This field is very vast since there are wide range of materials around us.

Question

**Problem Explanation:**

The task involves determining where to load a beam labeled as ABC with a uniform distributed live load of 300 lb/ft in order to achieve specific conditions:

1. **Objective (a):** Find the loading position that results in the largest live moment at point A.
2. **Objective (b):** Determine the loading position that causes the largest live shear at point D.

**Requirements:**

- Calculate the values of the maximum moment and shear.

**Given Conditions:**

- The beam has the following supports:
- **A:** Fixed support
- **B:** Pinned support
- **C:** Roller support

- Beam Segments:
- **AB:** 16 ft long (composed of two 8 ft segments)
- **BC:** 20 ft long

**Diagram Explanation:**

- The diagram depicts a horizontal beam ABC supported at three points: A, B, and C.
- The beam is segmented as follows: segment AB is between points A and B (16 feet in total, split into two 8 feet sections), and segment BC extends from B to C (20 feet).
- A downward arrow at the top of the beam denotes the uniform distributed load applied over a specific length.
- The problem involves analyzing the effects of this load positioning on the structural integrity at specified points.

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