find forces Cy, Ay, and Bx and By **Educational Website Content:****Topic: Analysis of Compound Beams****Description:**The compound beam shown in Figure 1 is pin-supported at point \( B \) and supported by rockers at points \( A \) and \( C \). There is also a hinge (pin) located at \( D \). The distributed load across the beam is \( w = 3.5 \, \text{kN/m} \).**Figure Explanation:**In the diagram, the beam is depicted resting on supports at three points. The beam spans a total of 12 meters, divided into segments:- The distance between support \( A \) and support \( B \) is 6 meters.- Between support \( B \) and the hinge at \( D \), the distance is 3 meters.- From the hinge at \( D \) to support \( C \), the distance is another 3 meters.The beam is uniformly loaded with arrows pointing downwards across its length, indicating the distributed load \( w \). The rockers at \( A \) and \( C \) allow the beam to pivot slightly, relieving transverse stress, while the pin at \( B \) provides a stable pivot point. The hinge at \( D \) allows for rotation and flexibility, accommodating changes in beam slope or loading without additional moments.This setup illustrates key concepts in structural engineering, including support reactions, distributed loads, and internal hinge analysis in compound beams.

Given data:- w=3.5 KN/m To find :-forces Cy, Ay, Bx and By

Answered: The compound beam (Figure 1) is pin…

The compound beam (Figure 1) is pin supported at B and supported by rockers at A and C. There is a hinge (pin) at D. Suppose that w = 3.5 kN/m. Figure 6 m B W D 3m-3 m C 1 of 1

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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find forces Cy, Ay, and Bx and By

**Educational Website Content:**

**Topic: Analysis of Compound Beams**

**Description:**

The compound beam shown in Figure 1 is pin-supported at point \( B \) and supported by rockers at points \( A \) and \( C \). There is also a hinge (pin) located at \( D \). The distributed load across the beam is \( w = 3.5 \, \text{kN/m} \).

**Figure Explanation:**

In the diagram, the beam is depicted resting on supports at three points. The beam spans a total of 12 meters, divided into segments:

- The distance between support \( A \) and support \( B \) is 6 meters.
- Between support \( B \) and the hinge at \( D \), the distance is 3 meters.
- From the hinge at \( D \) to support \( C \), the distance is another 3 meters.

The beam is uniformly loaded with arrows pointing downwards across its length, indicating the distributed load \( w \). The rockers at \( A \) and \( C \) allow the beam to pivot slightly, relieving transverse stress, while the pin at \( B \) provides a stable pivot point. The hinge at \( D \) allows for rotation and flexibility, accommodating changes in beam slope or loading without additional moments.

This setup illustrates key concepts in structural engineering, including support reactions, distributed loads, and internal hinge analysis in compound beams.

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