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7.C4 Determine the equations for the shear and bending moment curves for beams 1 and 2 shown assuming that wo = 15 kN/m and L = 3 m. Plot the shear and bending moment diagrams for each beam. %3D

7.C4 Determine the equations for the shear and bending moment curves for beams 1 and 2 shown assuming that wo = 15 kN/m and L = 3 m. Plot the shear and bending moment diagrams for each beam. %3D

Elements Of Electromagnetics
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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**Figure P7.C4: Analysis of Beams** **Problem 7.C4** Objective: Determine the equations for the shear and bending moment curves for the beams illustrated below, assuming that \( w_0 = 15 \, \text{kN/m} \) and \( L = 3 \, \text{m} \). Additionally, create the shear and bending moment diagrams for each beam. **Diagram Explanation:** The image depicts two beams, labeled as Beam 1 and Beam 2, each subjected to a different loading condition. - **Beam 1:** - **Supports:** Beam 1 is simply supported with a hinge at point A and a roller at point B. - **Loading:** The beam is subjected to a sinusoidal distributed load given by \( w = w_0 \sin \left(\frac{\pi x}{L}\right) \), where \( w_0 = 15 \, \text{kN/m} \). - **Dimensions:** The beam spans a length \( L = 3 \, \text{m} \). - **Beam 2:** - **Supports:** Like Beam 1, Beam 2 is simply supported with a hinge at point A and a roller at point B. - **Loading:** The beam is subjected to a linearly varying distributed load given by \( w = w_0 \frac{x}{L} \), where \( w_0 = 15 \, \text{kN/m} \). - **Dimensions:** The beam also has a span of \( L = 3 \, \text{m} \). The task is to develop mathematical expressions for shear forces and bending moments along the length of each beam due to the applied loads and to graphically represent these as diagrams.
Transcribed Image Text:**Figure P7.C4: Analysis of Beams** **Problem 7.C4** Objective: Determine the equations for the shear and bending moment curves for the beams illustrated below, assuming that \( w_0 = 15 \, \text{kN/m} \) and \( L = 3 \, \text{m} \). Additionally, create the shear and bending moment diagrams for each beam. **Diagram Explanation:** The image depicts two beams, labeled as Beam 1 and Beam 2, each subjected to a different loading condition. - **Beam 1:** - **Supports:** Beam 1 is simply supported with a hinge at point A and a roller at point B. - **Loading:** The beam is subjected to a sinusoidal distributed load given by \( w = w_0 \sin \left(\frac{\pi x}{L}\right) \), where \( w_0 = 15 \, \text{kN/m} \). - **Dimensions:** The beam spans a length \( L = 3 \, \text{m} \). - **Beam 2:** - **Supports:** Like Beam 1, Beam 2 is simply supported with a hinge at point A and a roller at point B. - **Loading:** The beam is subjected to a linearly varying distributed load given by \( w = w_0 \frac{x}{L} \), where \( w_0 = 15 \, \text{kN/m} \). - **Dimensions:** The beam also has a span of \( L = 3 \, \text{m} \). The task is to develop mathematical expressions for shear forces and bending moments along the length of each beam due to the applied loads and to graphically represent these as diagrams.
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