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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 b; -245 mm, t; -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? by M kw B ↑

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 b; -245 mm, t; -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? by M kw B ↑

Structural Analysis
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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**Problem Statement:** 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 \( b_f = 245 \text{ mm}, t_f = 22 \text{ mm}, d = 279 \text{ mm}, \) 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:** The diagram illustrates a tee beam cross section with labeled dimensions: - \( b_f \) is the width of the flange. - \( t_f \) is the thickness of the flange. - \( d \) is the overall depth of the beam. - \( t_w \) is the thickness of the web. Points A, B, C, and D define corners of the tee shape, and the centroid is marked at point \( z \). The moment \( M \) acts at an angle \( \theta \) from the vertical axis of the cross section.
Transcribed Image Text:**Problem Statement:** 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 \( b_f = 245 \text{ mm}, t_f = 22 \text{ mm}, d = 279 \text{ mm}, \) 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:** The diagram illustrates a tee beam cross section with labeled dimensions: - \( b_f \) is the width of the flange. - \( t_f \) is the thickness of the flange. - \( d \) is the overall depth of the beam. - \( t_w \) is the thickness of the web. Points A, B, C, and D define corners of the tee shape, and the centroid is marked at point \( z \). The moment \( M \) acts at an angle \( \theta \) from the vertical axis of the cross section.
Certainly! Here’s a transcription suitable for an educational website: --- ### Part 2 **Problem Statement:** The z-component of moment M will cause compression at points A and B, and tension at points C and D. Conversely, the y-component of moment M will cause compression at points A and D, and tension at points B and C. The maximum tensile bending stress is expected to occur at point C. Your task is to determine the magnitude of the largest bending moment that can be applied such that the stress at corner C does not exceed 205 MPa. **Answer:** M = \( \boxed{8.31 \times 10^1} \) kN-m **Feedback:** - Status: Incorrect answer. *Additional Resources:* - eTextbook and Media [Submit Answer] --- ### Part 3 **Problem Statement:** The z-component of moment M will cause compression at points A and B, and tension at points C and D. The y-component of moment M will cause compression at points A and D, and tension at points B and C. The maximum compressive bending stress will occur at point A. Determine 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 = \( \boxed{} \) kN-m *Attempts: 0 of 5 used* [Submit Answer] *Additional Resources:* - eTextbook and Media [Save for Later] --- ### Part 4 **Problem Statement:** Determine the maximum bending moment that can be applied to this cross-section. **Feedback:** - Status: Incorrect answer. --- In this scenario, you're tasked with calculating the largest permissible bending moment based on stress constraints at specific corners of a beam or structural member, taking into account compression and tension influences from moment components.
Transcribed Image Text:Certainly! Here’s a transcription suitable for an educational website: --- ### Part 2 **Problem Statement:** The z-component of moment M will cause compression at points A and B, and tension at points C and D. Conversely, the y-component of moment M will cause compression at points A and D, and tension at points B and C. The maximum tensile bending stress is expected to occur at point C. Your task is to determine the magnitude of the largest bending moment that can be applied such that the stress at corner C does not exceed 205 MPa. **Answer:** M = \( \boxed{8.31 \times 10^1} \) kN-m **Feedback:** - Status: Incorrect answer. *Additional Resources:* - eTextbook and Media [Submit Answer] --- ### Part 3 **Problem Statement:** The z-component of moment M will cause compression at points A and B, and tension at points C and D. The y-component of moment M will cause compression at points A and D, and tension at points B and C. The maximum compressive bending stress will occur at point A. Determine 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 = \( \boxed{} \) kN-m *Attempts: 0 of 5 used* [Submit Answer] *Additional Resources:* - eTextbook and Media [Save for Later] --- ### Part 4 **Problem Statement:** Determine the maximum bending moment that can be applied to this cross-section. **Feedback:** - Status: Incorrect answer. --- In this scenario, you're tasked with calculating the largest permissible bending moment based on stress constraints at specific corners of a beam or structural member, taking into account compression and tension influences from moment components.
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