A simply supported beam with a cantilever side is subjected to a uniform load of 15 kN/m and a point load of 5 kN as shown in Figure 1. Assume E= 205 GPa and I=60(10)6 mm4 . (Hint: Consider method of superposition) 1.1 Calculate the reactions at the supports of the beam 1.2 Draw the shear force and bending moment diagrams with critical values 1.3 Calculate the deflection at A using unit load method

Structural Analysis
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Chapter2: Loads On Structures
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A simply supported beam with a cantilever side is subjected to a uniform load of 15 kN/m and a point load of 5 kN as shown in Figure 1. Assume E= 205 GPa and I=60(10)6 mm4 . (Hint: Consider method of superposition)

1.1 Calculate the reactions at the supports of the beam

1.2 Draw the shear force and bending moment diagrams with critical values

1.3 Calculate the deflection at A using unit load method

5kN
2L/3
A EI
k
2m
L
Area = Ly/2
↓↓↓
B
y
15kN/m
Figure 1
Note: The area and centroid of typical shapes used in the unit load method can be found
below
1.5EI
6m
5L/8
с
L
Area = 2Ly/3
3L/4
L
Area = Ly/3
Transcribed Image Text:5kN 2L/3 A EI k 2m L Area = Ly/2 ↓↓↓ B y 15kN/m Figure 1 Note: The area and centroid of typical shapes used in the unit load method can be found below 1.5EI 6m 5L/8 с L Area = 2Ly/3 3L/4 L Area = Ly/3
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