**Part D - Maximum Applicable Shear Force on the Hollow Square Shaft**Determine the maximum applicable shear force on the hollow square shaft, \( V_{\text{max}} \).**Instructions:**Express your answer to three significant figures and include appropriate units.**Hints:**- View available hints that may assist in solving the problem.**Input Box:**- An input field where the user entered the value: \( V_{\text{max}} = 1.281469252 \, \text{kip} \).**Feedback:**- After submission, the feedback indicates the answer is incorrect with the prompt: "Incorrect; Try Again."**Figure Description:**- The figure contains a diagram of a hollow square shaft depicted in two perspectives: - The first perspective shows the shaft with shear force \( V \) applied vertically along the y-axis, with dimensions labeled as \( t \) along the height and \( s \) along the width. - The second perspective is an extended view emphasizing the direction of the applied force \( V \).This process involves calculating the shear force correctly to provide the right value expressed in kips, rounded to three significant digits, as demonstrated by the problem's requirements. **Learning Goal:**To determine the maximum shear force that can be applied to two shafts of varying cross sections: a solid square shaft and a hollow square shaft.The two square cross sections shown below (Figure 1) are each subjected to a vertical shear force, V. The side length of each cross section is \(s = 8.00 \, \text{in}\) and the side length of the hollowed-out portion of the second cross section is \(r = 2.25 \, \text{in}\). The maximum allowable shear stress in each member is \(\tau_{\text{max}} = 19.0 \, \text{ksi}\).---**Part A - Moment of the area \(A'\) about the neutral axis of the solid square shaft**One of the first steps in analyzing the geometry of the solid square shaft is to determine the moment of the area \(A'\) about the neutral axis of the entire cross section. This value is denoted by \(Q\). What is \(Q\)? (Figure 2)Express your answer to three significant figures and include appropriate units.- **\(Q = 64.0 \, \text{in}^3\)**- ✅ Correct---**Part B - Moment of the area \(A'\) about the neutral axis of the hollow square shaft**One of the first steps in analyzing the geometry of the hollow square shaft is to determine the moment of the area \(A'\) about the neutral axis of the entire cross section. This value is denoted by \(Q\). What is \(Q\)? (Figure 3)Express your answer to three significant figures and include appropriate units.- **\(Q = 62.6 \, \text{in}^3\)**- ✅ Correct---**Part C - Maximum applicable shear force on the solid square shaft**Determine the maximum applicable shear force on the solid square shaft, \(V_{\text{max}}\).Express your answer to three significant figures and include appropriate units.- **\(V_{\text{max}} = 811 \, \text{kip}\)**- ✅ Correct---**Diagrams and Figures Explanation:**- **Figure 1** shows two square cross sections subjected to a vertical shear force, with specified dimensions for analysis.- **Figure 2** and **Figure 3** are referenced for determining the moment of area \(

Answered: Image /qna-images/answer/48d49c17-5cbb-495f-adbe-e275eebdf933.jpg

Figure 1 of 3 Part D - Maximum applicable shear force on the hollow square shaft Determine the maximum applicable shear force on the hollow square shaft, Vmax. Express your answer to three significant figures and include appropriate units. ► View Available Hint(s) Submit OL Vmax = 1.281469252 kip μA Provide Feedback Previous Answers X Incorrect; Try Again ?

Figure 1 of 3 Part D - Maximum applicable shear force on the hollow square shaft Determine the maximum applicable shear force on the hollow square shaft, Vmax. Express your answer to three significant figures and include appropriate units. ► View Available Hint(s) Submit OL Vmax = 1.281469252 kip μA Provide Feedback Previous Answers X Incorrect; Try Again ?

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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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

**Part D - Maximum Applicable Shear Force on the Hollow Square Shaft**

Determine the maximum applicable shear force on the hollow square shaft, \( V_{\text{max}} \).

**Instructions:**
Express your answer to three significant figures and include appropriate units.

**Hints:**
- View available hints that may assist in solving the problem.

**Input Box:**
- An input field where the user entered the value: \( V_{\text{max}} = 1.281469252 \, \text{kip} \).

**Feedback:**
- After submission, the feedback indicates the answer is incorrect with the prompt: "Incorrect; Try Again."

**Figure Description:**

- The figure contains a diagram of a hollow square shaft depicted in two perspectives:
- The first perspective shows the shaft with shear force \( V \) applied vertically along the y-axis, with dimensions labeled as \( t \) along the height and \( s \) along the width.
- The second perspective is an extended view emphasizing the direction of the applied force \( V \).

This process involves calculating the shear force correctly to provide the right value expressed in kips, rounded to three significant digits, as demonstrated by the problem's requirements.

**Learning Goal:**
To determine the maximum shear force that can be applied to two shafts of varying cross sections: a solid square shaft and a hollow square shaft.

The two square cross sections shown below (Figure 1) are each subjected to a vertical shear force, V. The side length of each cross section is \(s = 8.00 \, \text{in}\) and the side length of the hollowed-out portion of the second cross section is \(r = 2.25 \, \text{in}\). The maximum allowable shear stress in each member is \(\tau_{\text{max}} = 19.0 \, \text{ksi}\).

---

**Part A - Moment of the area \(A'\) about the neutral axis of the solid square shaft**

One of the first steps in analyzing the geometry of the solid square shaft is to determine the moment of the area \(A'\) about the neutral axis of the entire cross section. This value is denoted by \(Q\). What is \(Q\)? (Figure 2)

Express your answer to three significant figures and include appropriate units.

- **\(Q = 64.0 \, \text{in}^3\)**
- ✅ Correct

---

**Part B - Moment of the area \(A'\) about the neutral axis of the hollow square shaft**

One of the first steps in analyzing the geometry of the hollow square shaft is to determine the moment of the area \(A'\) about the neutral axis of the entire cross section. This value is denoted by \(Q\). What is \(Q\)? (Figure 3)

Express your answer to three significant figures and include appropriate units.

- **\(Q = 62.6 \, \text{in}^3\)**
- ✅ Correct

---

**Part C - Maximum applicable shear force on the solid square shaft**

Determine the maximum applicable shear force on the solid square shaft, \(V_{\text{max}}\).

Express your answer to three significant figures and include appropriate units.

- **\(V_{\text{max}} = 811 \, \text{kip}\)**
- ✅ Correct

---

**Diagrams and Figures Explanation:**

- **Figure 1** shows two square cross sections subjected to a vertical shear force, with specified dimensions for analysis.
- **Figure 2** and **Figure 3** are referenced for determining the moment of area \(

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