The beam shown in Figure 1 supports a distributed live load of 1.5 kN/m, and a single concentrated load of 10 kN. In addition, the dead load is 2.0 kN/m. D is a fixed support, B is a roller support and joint C is a hinge. Determine the followings: (a) the key points for the influence lines for the vertical reactions at B (By) and D (Dy) and moment at D (MD). Fill up Table 1 with your calculated values. (b) sketch the influence lines for the vertical reactions at B (By) and D (Dy) and moment at D (MD). the maximum vertical reaction at B (By) for the given loads. the maximum negative moment at D (MD) for the given loads. (c) (d)

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Question
The beam shown in Figure 1 supports a distributed live load of 1.5 kN/m, and a single
concentrated load of 10 kN. In addition, the dead load is 2.0 kN/m. D is a fixed support, B is
a roller support and joint C is a hinge. Determine the followings:
(a)
the key points for the influence lines for the vertical reactions at B (By) and D
(Dy) and moment at D (MD). Fill up Table 1 with your calculated values.
(b)
sketch the influence lines for the vertical reactions at B (By) and D (Dy) and
moment at D (MD).
(c) the maximum vertical reaction at B (By) for the given loads.
(d)
the maximum negative moment at D (MD) for the given loads.
Transcribed Image Text:The beam shown in Figure 1 supports a distributed live load of 1.5 kN/m, and a single concentrated load of 10 kN. In addition, the dead load is 2.0 kN/m. D is a fixed support, B is a roller support and joint C is a hinge. Determine the followings: (a) the key points for the influence lines for the vertical reactions at B (By) and D (Dy) and moment at D (MD). Fill up Table 1 with your calculated values. (b) sketch the influence lines for the vertical reactions at B (By) and D (Dy) and moment at D (MD). (c) the maximum vertical reaction at B (By) for the given loads. (d) the maximum negative moment at D (MD) for the given loads.
Table 1:
A
Key Points
A
B
C
D
2m
B
X (m)
0
2
6
8
4m
Figure 1
By
C
Dy
2m
D
MD
Transcribed Image Text:Table 1: A Key Points A B C D 2m B X (m) 0 2 6 8 4m Figure 1 By C Dy 2m D MD
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