▼ Part C- Neutral-axis angle due to externally applied moments The neutral-axis angle of the cross section being analyzed is the axis along which there is a zero stress value. Determine the neutral-axis angle, a, due to the externally applied moments as measured counterclockwise from the positive z axis in the yz plane. Express your answer to three significant figures and include the appropriate units. ► View Available Hint(s) α = Submit Value → Units www. ? Part D- Absolute maximum stress in cross section ABCD Determine the absolute maximum stress, lomax |, in cross section ABCD due to the two externally applied moments. Express the answer to three significant figures and include the appropriate units.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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**Learning Goal:**

The rectangular cross section \(ABCD\) shown below has a circular cutout of diameter \(d = 50.0 \, \text{mm}\) through its center. The member is subjected to two externally applied moments \(M_1 = 6.0 \, \text{kN} \cdot \text{m}\) and \(M_2 = 17.0 \, \text{kN} \cdot \text{m}\) at angles \(\theta_1 = 35.0\) degrees from the \(y\) axis in the \(yz\) plane and \(\beta_2 = 25.0\) degrees from the \(z\) axis in the \(yz\) plane, respectively. The rectangular cross section has a height of \(h = 290.0 \, \text{mm}\) and a width of \(w = 125.0 \, \text{mm}\).

**Diagram Explanation:**

The diagram illustrates a 3-dimensional rectangular prism with a circular cutout at its center. The sides of the rectangle are labeled \(ABCD\). The dimensions and placement of forces and angles are depicted as follows:

- Two moments, \(M_1\) and \(M_2\), are shown intersecting on the face of the prism.
- \(M_1\) is inclined at an angle \(\theta_1 = 35.0\) degrees from the \(y\) axis.
- \(M_2\) is angled at \(\beta_2 = 25.0\) degrees from the \(z\) axis.
- The circular cutout has a diameter labeled as \(d\).
- Horizontal width (\(w/2\)), vertical height (\(h/2\)), and the dimensions of the rectangular section are clearly indicated.
Transcribed Image Text:**Learning Goal:** The rectangular cross section \(ABCD\) shown below has a circular cutout of diameter \(d = 50.0 \, \text{mm}\) through its center. The member is subjected to two externally applied moments \(M_1 = 6.0 \, \text{kN} \cdot \text{m}\) and \(M_2 = 17.0 \, \text{kN} \cdot \text{m}\) at angles \(\theta_1 = 35.0\) degrees from the \(y\) axis in the \(yz\) plane and \(\beta_2 = 25.0\) degrees from the \(z\) axis in the \(yz\) plane, respectively. The rectangular cross section has a height of \(h = 290.0 \, \text{mm}\) and a width of \(w = 125.0 \, \text{mm}\). **Diagram Explanation:** The diagram illustrates a 3-dimensional rectangular prism with a circular cutout at its center. The sides of the rectangle are labeled \(ABCD\). The dimensions and placement of forces and angles are depicted as follows: - Two moments, \(M_1\) and \(M_2\), are shown intersecting on the face of the prism. - \(M_1\) is inclined at an angle \(\theta_1 = 35.0\) degrees from the \(y\) axis. - \(M_2\) is angled at \(\beta_2 = 25.0\) degrees from the \(z\) axis. - The circular cutout has a diameter labeled as \(d\). - Horizontal width (\(w/2\)), vertical height (\(h/2\)), and the dimensions of the rectangular section are clearly indicated.
**Part C - Neutral-axis angle due to externally applied moments**

The neutral-axis angle of the cross section being analyzed is the axis along which there is a zero stress value. Determine the neutral-axis angle, α, due to the externally applied moments as measured counterclockwise from the positive z-axis in the yz-plane.

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

[View Available Hint(s)]

\[ \alpha = \boxed{\text{Value}} \quad \text{Units} \]

[Submit]

---

**Part D - Absolute maximum stress in cross section ABCD**

Determine the absolute maximum stress, |σ_max|, in cross section ABCD due to the two externally applied moments.

Express the answer to three significant figures and include the appropriate units.
Transcribed Image Text:**Part C - Neutral-axis angle due to externally applied moments** The neutral-axis angle of the cross section being analyzed is the axis along which there is a zero stress value. Determine the neutral-axis angle, α, due to the externally applied moments as measured counterclockwise from the positive z-axis in the yz-plane. Express your answer to three significant figures and include the appropriate units. [View Available Hint(s)] \[ \alpha = \boxed{\text{Value}} \quad \text{Units} \] [Submit] --- **Part D - Absolute maximum stress in cross section ABCD** Determine the absolute maximum stress, |σ_max|, in cross section ABCD due to the two externally applied moments. Express the answer to three significant figures and include the appropriate units.
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