Question 6 The reinforced concrete beam shown in Figure 6 is encastré at both ends. It supports a udl over part of the span as shown. The beam has a cross section 300mm wide by 900mm deep. Take the E value of the concrete as 15GPa. Use the gross concrete section properties in any calculations. (i) (ii) (iii) Using the Differential equations of flexure, determine all the reactions Calculate the vertical deflection at the midspan of the beam in mm. Calculate the max sagging moment in the span. 100KN/m 8m 6m Figure 6

Structural Analysis
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Chapter2: Loads On Structures
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Question 6
The reinforced concrete beam shown in Figure 6 is encastré at both ends. It supports a udl
over part of the span as shown. The beam has a cross section 300mm wide by 900mm
deep. Take the E value of the concrete as 15GPA. Use the gross concrete section properties
in any calculations.
(1)
(ii)
Using the Differential equations of flexure, determine all the reactions
Calculate the vertical deflection at the midspan of the beam in mm.
Calculate the max sagging moment in the span.
(iii)
100KN/m
B
8m
6m
Figure 6
Transcribed Image Text:Question 6 The reinforced concrete beam shown in Figure 6 is encastré at both ends. It supports a udl over part of the span as shown. The beam has a cross section 300mm wide by 900mm deep. Take the E value of the concrete as 15GPA. Use the gross concrete section properties in any calculations. (1) (ii) Using the Differential equations of flexure, determine all the reactions Calculate the vertical deflection at the midspan of the beam in mm. Calculate the max sagging moment in the span. (iii) 100KN/m B 8m 6m Figure 6
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