a) Using Macauley's Method, calculate a general expression in terms of Young's Modulus, E, and Second Moment of Area, I, for the deflection in the beam shown in Fig. 4.1. R₁ 4kN 4m →→ 4m →→ 4m 32kNm 20 20 Figure 4.1 20 1kN/m If the beam in part a) has the cross-sectional profile as shown below and a Young's Modulus, E, of 200GN/m², calculate the magnitude of the deflection at 10m from the left hand side. 150 R₂ 4m 4kN

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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a) Using Macauley's Method, calculate a general expression in terms of Young's
Modulus, E, and Second Moment of Area, I, for the deflection in the beam shown
in Fig. 4.1.
R₁
4kN
32kNm
4m 4m → 4m
pesadas
Figure 4.1
20
1kN/m
150
R₂
Figure 4.2
(All dimensions in mm)
4m
If the beam in part a) has the cross-sectional profile as shown below and a
Young's Modulus, E, of 200GN/m², calculate the magnitude of the deflection at
10m from the left hand side.
4kN
➜
Transcribed Image Text:a) Using Macauley's Method, calculate a general expression in terms of Young's Modulus, E, and Second Moment of Area, I, for the deflection in the beam shown in Fig. 4.1. R₁ 4kN 32kNm 4m 4m → 4m pesadas Figure 4.1 20 1kN/m 150 R₂ Figure 4.2 (All dimensions in mm) 4m If the beam in part a) has the cross-sectional profile as shown below and a Young's Modulus, E, of 200GN/m², calculate the magnitude of the deflection at 10m from the left hand side. 4kN ➜
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