Consider a beam shown in the figure below. (Figure 1) Part A Express the internal shear in the beam as a function of x for 0

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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**Consider a beam shown in the figure below. (Figure 1)**

**Figure:**

The diagram depicts a simply supported beam with a triangular distributed load. The load starts from zero at point A and increases linearly to \( w_0 \) at point B.

**Beam Details:**

- The beam is supported at two points, with one support at point A and another at point B.
- The triangular distributed load acts over the entire span of the beam.
  
**Dimensions:**

- The distance from point A to the point where the load begins is \( L/3 \).
- The total length of the beam is \( L \), with \( 2L/3 \) as the distance from the peak of the load (at \( w_0 \)) to point B.

---

**Part A**

Express the internal shear in the beam as a function of \( x \) for \( 0 \leq x \leq \frac{L}{3} \).

**Instructions:**  
Express your answer in terms of some or all of the variables \( x, w_0, \) and \( L \).

\[ V = \]

**Submit**  

**Request Answer**

---

**Part B**

Express the internal shear in the beam as a function of \( x \) for \( \frac{L}{3} < x \leq L \).

**Instructions:**  
Express your answer in terms of some or all of the variables \( x, w_0, \) and \( L \).

\[ V = \]

**Submit**
Transcribed Image Text:**Consider a beam shown in the figure below. (Figure 1)** **Figure:** The diagram depicts a simply supported beam with a triangular distributed load. The load starts from zero at point A and increases linearly to \( w_0 \) at point B. **Beam Details:** - The beam is supported at two points, with one support at point A and another at point B. - The triangular distributed load acts over the entire span of the beam. **Dimensions:** - The distance from point A to the point where the load begins is \( L/3 \). - The total length of the beam is \( L \), with \( 2L/3 \) as the distance from the peak of the load (at \( w_0 \)) to point B. --- **Part A** Express the internal shear in the beam as a function of \( x \) for \( 0 \leq x \leq \frac{L}{3} \). **Instructions:** Express your answer in terms of some or all of the variables \( x, w_0, \) and \( L \). \[ V = \] **Submit** **Request Answer** --- **Part B** Express the internal shear in the beam as a function of \( x \) for \( \frac{L}{3} < x \leq L \). **Instructions:** Express your answer in terms of some or all of the variables \( x, w_0, \) and \( L \). \[ V = \] **Submit**
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