**Part A - Internal Loading Due to a Variable, Distributed Load**Consider the cantilever beam and loading shown in the image below where \( d = 9.00 \) ft, \( w_B = 618 \) lb/ft, and \( w_A = 330 \) lb/ft. (Figure 3)Determine the magnitudes of the internal loadings on the beam at point \( C \). Express your answers, separated by commas, to three significant figures.\[ N_C = \, \]\[ V_C = \, \]\[ M_C = \, \](submit answer in the format: lb, lb, lb*ft) ### Cantilever Beam with Linearly Varying Load#### Figure OverviewThe provided figure illustrates a cantilever beam subjected to a linearly varying load. Below is a detailed explanation of the diagram and the notation used:#### Diagram Description1. **Beam Structure**: - The beam is anchored (fixed) at the left end (point A) and extends to the right (point B).2. **Load Variation**: - The load varies linearly from point A to point B. - At point A, the load is denoted as \(w_A\). - At point B, the load is denoted as \(w_B\). 3. **Support and Load Application**: - The load is shown to be distributed across the beam, increasing linearly from \(w_A\) at the fixed end to \(w_B\) at the free end. - Arrow notations indicate the direction of the applied load, acting downwards.4. **Sectioning**: - The beam is divided into two equal segments, each of length \(d\). - Point C represents the midpoint of the beam.#### Key Points- **Anchored End (A)**: The beam is fixed here, and the load starts from \(w_A\).- **Free End (B)**: The load reaches its maximum value \(w_B\) at this point.- **Midpoint (C)**: It is the center of the beam and evenly divides it into two equal segments.- **Distance (d)**: Represents the length of each segment of the beam.Understanding this diagram is essential for analyzing the shear force, bending moment, deflection, and stress distribution along the length of the beam subjected to this varying load.

d = 9 ft WB = 618 lb/ft WA = 330 lb/ft

Consider the cantilever beam and loading shown in the image below where d=9.00 ft, wg = 618 lb/ft, and wA 330 lb/ft. (Figure : Determine the magnitudes of the internal loadings on the beam at point C.

Consider the cantilever beam and loading shown in the image below where d=9.00 ft, wg = 618 lb/ft, and wA 330 lb/ft. (Figure : Determine the magnitudes of the internal loadings on the beam at point C.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

**Part A - Internal Loading Due to a Variable, Distributed Load**

Consider the cantilever beam and loading shown in the image below where \( d = 9.00 \) ft, \( w_B = 618 \) lb/ft, and \( w_A = 330 \) lb/ft. (Figure 3)

Determine the magnitudes of the internal loadings on the beam at point \( C \).

Express your answers, separated by commas, to three significant figures.

\[ N_C = \, \]
\[ V_C = \, \]
\[ M_C = \, \]

(submit answer in the format: lb, lb, lb*ft)

### Cantilever Beam with Linearly Varying Load

#### Figure Overview

The provided figure illustrates a cantilever beam subjected to a linearly varying load. Below is a detailed explanation of the diagram and the notation used:

#### Diagram Description

1. **Beam Structure**:
- The beam is anchored (fixed) at the left end (point A) and extends to the right (point B).

2. **Load Variation**:
- The load varies linearly from point A to point B.
- At point A, the load is denoted as \(w_A\).
- At point B, the load is denoted as \(w_B\).

3. **Support and Load Application**:
- The load is shown to be distributed across the beam, increasing linearly from \(w_A\) at the fixed end to \(w_B\) at the free end.
- Arrow notations indicate the direction of the applied load, acting downwards.

4. **Sectioning**:
- The beam is divided into two equal segments, each of length \(d\).
- Point C represents the midpoint of the beam.

#### Key Points

- **Anchored End (A)**: The beam is fixed here, and the load starts from \(w_A\).
- **Free End (B)**: The load reaches its maximum value \(w_B\) at this point.
- **Midpoint (C)**: It is the center of the beam and evenly divides it into two equal segments.
- **Distance (d)**: Represents the length of each segment of the beam.

Understanding this diagram is essential for analyzing the shear force, bending moment, deflection, and stress distribution along the length of the beam subjected to this varying load.

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