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
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**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 \(E = 190 \, \text{GPa}\).

---

**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.
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 \(E = 190 \, \text{GPa}\). --- **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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