A horizontal simply-supported beam is loaded as shown in Figure 1. It has a rectangular cross section, 70 mm by b mm. (a) Determine the vertical reaction forces at A and E. (b) If the allowable deflection at mid-span is 2 mm downwards, determine the dimension, b, of the beam needed. Use E= 150 GPa. 10kN 6kN/m 4kNm [36.26mm] Section A-A of Beam AF 0.8m B C 0.2m 0.3m 水水 0.2m 0.3m 3kN Figure 1

Structural Analysis
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Chapter2: Loads On Structures
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1.
A horizontal simply-supported beam is loaded as shown in Figure 1. It has a
rectangular cross section, 70 mm by b mm.
(a) Determine the vertical reaction forces at A and E.
(b) If the allowable deflection at mid-span is 2 mm downwards, determine
the dimension, b, of the beam needed. Use E= 150 GPa.
10kN
6kN/m
4kNm
[36.26mm]
Section A-A of Beam AF
0.2m 0.3m
0.8m
E
olo
水水
0.2m 0.3m
3kN
Figure 1
Transcribed Image Text:1. A horizontal simply-supported beam is loaded as shown in Figure 1. It has a rectangular cross section, 70 mm by b mm. (a) Determine the vertical reaction forces at A and E. (b) If the allowable deflection at mid-span is 2 mm downwards, determine the dimension, b, of the beam needed. Use E= 150 GPa. 10kN 6kN/m 4kNm [36.26mm] Section A-A of Beam AF 0.2m 0.3m 0.8m E olo 水水 0.2m 0.3m 3kN Figure 1
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