10.4-2 A fixed-end beam AB carries point load P acting at point C. The beam has a rectangular cross section (b = 75 mm, h = 150 mm). Calculate the reac- tions of the beam and the displacement at point C. Assume that E = 190 GPa. %3D P = 5 kN 3 m A B -L= 5 m· h
10.4-2 A fixed-end beam AB carries point load P acting at point C. The beam has a rectangular cross section (b = 75 mm, h = 150 mm). Calculate the reac- tions of the beam and the displacement at point C. Assume that E = 190 GPa. %3D P = 5 kN 3 m A B -L= 5 m· h
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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Transcribed Image Text:**Problem 10.4-2**
A fixed-end beam \(AB\) carries a point load \(P\) acting at point \(C\). The beam has a rectangular cross-section with \(b = 75 \, \text{mm}\) and \(h = 150 \, \text{mm}\). Calculate the reactions of the beam and the displacement at point \(C\). Assume that \(E = 190 \, \text{GPa}\).
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**Diagram Explanation:**
1. **Beam Diagram:**
- A horizontal beam \(AB\) is shown with fixed ends.
- The beam has a length \(L = 5 \, \text{m}\).
- A point load \(P = 5 \, \text{kN}\) is shown acting downward at point \(C\).
- The distance from point \(A\) to \(C\) is \(3 \, \text{m}\), and the distance from \(C\) to \(B\) is \(2 \, \text{m}\).
2. **Cross-Section Diagram:**
- A rectangle represents the cross-section of the beam.
- The width \(b\) of the rectangle is \(75 \, \text{mm}\).
- The height \(h\) of the rectangle is \(150 \, \text{mm}\).
These dimensions and values are essential for calculating the beam's reactions and displacement under the given load.
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