**Educational Website Text Transcription:**---**Problem Statement:**Determine the distance in the y-direction from line DC to the centroid of the area. Then calculate the area moment of inertia about both the x-axis and the y-axis.**Answer:**- \( \bar{y} = \) [input box] mm- \( I_x = \) [input box] mm\(^4\)- \( I_y = \) [input box] mm\(^4\)[Button: eTextbook and Media][Button: Submit Answer]---**Part 2:**The x-component of moment M will cause compression at A and B, and tension at C and D. The y-component of moment M will cause compression at A and D, and tension at B and C. The maximum tensile bending stress will occur at point C. Calculate the magnitude of the largest bending moment that can be applied so that the stress at corner C does not exceed 205 MPa.**Answer:**- \( M = \) [input box] kN⋅m[Button: eTextbook and Media][Button: Submit Answer]---**Part 3:**The x-component of moment M will cause compression at A and B, and tension at C and D. The y-component of moment M will cause compression at A and D, and tension at B and C. The maximum compressive bending stress will occur at point A. Calculate the magnitude of the largest bending moment that can be applied so that the stress at corner A does not exceed 205 MPa.**Answer:**- \( M = \) [input box] kN⋅m[Button: eTextbook and Media][Button: Submit Answer]---**Part 4:**Determine the maximum bending moment that can be applied to this cross section.**Answer:**- [Input box][Button: eTextbook and Media][Button: Submit Answer]--- Note: No specific graphs or diagrams are present in the image to describe further. The moment \( M \) acting on the cross section of the tee beam is oriented at an angle of \( \theta = 64^\circ \) as shown. Dimensions of the cross section are \( b_f = 245 \, \text{mm}, \, t_f = 22 \, \text{mm}, \, d = 279 \, \text{mm}, \, \text{and} \, t_w = 18 \, \text{mm} \). The allowable bending stress is 205 MPa. What is the largest bending moment \( M \) that can be applied as shown to this cross section?### Diagram Explanation:- **Diagram Layout**: The diagram depicts a tee beam cross section.- **Labels**: - \( A, B, C, D \): Points on the beam. - \( b_f \): Width of the flange. - \( t_f \): Thickness of the flange. - \( d \): Overall depth of the beam. - \( t_w \): Thickness of the web. - \( y \): Distance from point \( A \) to the intersection of the web and flange. - \( z \): Distance from point \( D \) horizontally to the intersection of the web and point where \( M \) is applied. - \( \theta \): Angle at which moment \( M \) is applied.- **Moment \( M \)**: - Illustrated as a vector originating from point \( D \) at an angle \( \theta = 64^\circ \) with respect to the vertical axis.The objective is to determine the maximum bending moment \( M \) that can be applied to this cross section without exceeding the allowable bending stress of 205 MPa.

A tee section is undergoing biaxial bending.The angle made by the moment axis with the vertical…

The moment M acting on the cross section of the tee beam is oriented at an angle of 0 = 64° as shown. Dimensions of the cross section are b₁ = 245 mm, t₁ = 22 mm, d = 279 mm, and tw = 18 mm. The allowable bending stress is 205 MPa. What is the largest bending moment M that can be applied as shown to this cross section? 0 D bf y -tw B d

The moment M acting on the cross section of the tee beam is oriented at an angle of 0 = 64° as shown. Dimensions of the cross section are b₁ = 245 mm, t₁ = 22 mm, d = 279 mm, and tw = 18 mm. The allowable bending stress is 205 MPa. What is the largest bending moment M that can be applied as shown to this cross section? 0 D bf y -tw B d

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

Methods to Determine Vertical Stress

The load applied to the soil is transferred to the underground. The presence of water at soil pores and solid grains above the soil are the primary components that are responsible for the effective load transfer. Due to the load acting, the internal component of the soil or the underground formations undergoes deformations or a tectonic shift. The amount of deformation depends upon the amount of load acting on the soil surface, which indeed, depends on the weight of everything present above the soil. Due to this, the underground soil element develops internal stresses which try to resist the tectonic changes.

Question

**Educational Website Text Transcription:**

---

**Problem Statement:**

Determine the distance in the y-direction from line DC to the centroid of the area. Then calculate the area moment of inertia about both the x-axis and the y-axis.

**Answer:**

- \( \bar{y} = \) [input box] mm
- \( I_x = \) [input box] mm\(^4\)
- \( I_y = \) [input box] mm\(^4\)

[Button: eTextbook and Media]

[Button: Submit Answer]

---

**Part 2:**

The x-component of moment M will cause compression at A and B, and tension at C and D. The y-component of moment M will cause compression at A and D, and tension at B and C. The maximum tensile bending stress will occur at point C. Calculate the magnitude of the largest bending moment that can be applied so that the stress at corner C does not exceed 205 MPa.

**Answer:**

- \( M = \) [input box] kN⋅m

[Button: eTextbook and Media]

[Button: Submit Answer]

---

**Part 3:**

The x-component of moment M will cause compression at A and B, and tension at C and D. The y-component of moment M will cause compression at A and D, and tension at B and C. The maximum compressive bending stress will occur at point A. Calculate the magnitude of the largest bending moment that can be applied so that the stress at corner A does not exceed 205 MPa.

**Answer:**

- \( M = \) [input box] kN⋅m

[Button: eTextbook and Media]

[Button: Submit Answer]

---

**Part 4:**

Determine the maximum bending moment that can be applied to this cross section.

**Answer:**

- [Input box]

[Button: eTextbook and Media]

[Button: Submit Answer]

---

Note: No specific graphs or diagrams are present in the image to describe further.

The moment \( M \) acting on the cross section of the tee beam is oriented at an angle of \( \theta = 64^\circ \) as shown. Dimensions of the cross section are \( b_f = 245 \, \text{mm}, \, t_f = 22 \, \text{mm}, \, d = 279 \, \text{mm}, \, \text{and} \, t_w = 18 \, \text{mm} \). The allowable bending stress is 205 MPa. What is the largest bending moment \( M \) that can be applied as shown to this cross section?

### Diagram Explanation:

- **Diagram Layout**: The diagram depicts a tee beam cross section.
- **Labels**:
- \( A, B, C, D \): Points on the beam.
- \( b_f \): Width of the flange.
- \( t_f \): Thickness of the flange.
- \( d \): Overall depth of the beam.
- \( t_w \): Thickness of the web.
- \( y \): Distance from point \( A \) to the intersection of the web and flange.
- \( z \): Distance from point \( D \) horizontally to the intersection of the web and point where \( M \) is applied.
- \( \theta \): Angle at which moment \( M \) is applied.

- **Moment \( M \)**:
- Illustrated as a vector originating from point \( D \) at an angle \( \theta = 64^\circ \) with respect to the vertical axis.

The objective is to determine the maximum bending moment \( M \) that can be applied to this cross section without exceeding the allowable bending stress of 205 MPa.

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