(3) Beam ABC has a rectangular cross section of 300 mm by 100 mm. Attached rod BD has a diameter of 20 mm. Determine the vertical displacement of point C due to the loading. Consider only the effect of bending in ABC and only axial force in DB. E = 200 GPa. Use the method of virtual work. A 100 mm 300 mm 3 m B 3 m 20 KN C 4 m

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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**Problem Statement:**

(3) Beam ABC has a rectangular cross-section of 300 mm by 100 mm. Attached rod BD has a diameter of 20 mm. Determine the vertical displacement of point C due to the loading. Consider only the effect of bending in ABC and only axial force in DB. E (Young's Modulus) = 200 GPa. Use the method of virtual work.

**Diagram Explanation:**

- The diagram shows a beam labeled ABC with a length of 6 meters, divided into two equal sections of 3 meters each (from A to B and B to C).
- The beam has a rectangular cross-section measuring 300 mm in height and 100 mm in width.
- A rod BD is attached at point B and extends to a fixed point D, forming a diagonal with a length of 4 meters. The rod has a circular cross-section with a diameter of 20 mm.
- A downward force of 20 kN is applied at point C.
- Points A and D represent fixed supports for the beam and rod, respectively.
Transcribed Image Text:**Problem Statement:** (3) Beam ABC has a rectangular cross-section of 300 mm by 100 mm. Attached rod BD has a diameter of 20 mm. Determine the vertical displacement of point C due to the loading. Consider only the effect of bending in ABC and only axial force in DB. E (Young's Modulus) = 200 GPa. Use the method of virtual work. **Diagram Explanation:** - The diagram shows a beam labeled ABC with a length of 6 meters, divided into two equal sections of 3 meters each (from A to B and B to C). - The beam has a rectangular cross-section measuring 300 mm in height and 100 mm in width. - A rod BD is attached at point B and extends to a fixed point D, forming a diagonal with a length of 4 meters. The rod has a circular cross-section with a diameter of 20 mm. - A downward force of 20 kN is applied at point C. - Points A and D represent fixed supports for the beam and rod, respectively.
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