Consider the following statements:
Sinking of an intermediate support of a continuous beam
(i) reduces the negative moment at support.
(ii) increases the negative moment at support.
(iii) reduces the positive moment at support.
(iv) increases the positive moment at the center of span.
Of these statements:
-
A.
(ii) and (iii) are correct
-
B.
(ii) and (iv) are correct
-
C.
(i) and (iii) are correct
-
D.
(i) and (iv) are correct
Correct Answer:
D. (i) and (iv) are correct
Explanation:
When an intermediate support of a continuous beam sinks, it induces additional moments in the structure. For a downward settlement, the support moments (which are typically negative) are offset by the positive moments generated by the displacement. This results in a reduction of the total negative moment at that support. Simultaneously, this change in the moment distribution causes an increase in the positive bending moment at the center of the adjacent spans. Therefore, the correct statements are that the negative moment at the support is reduced and the positive moment at the center of the span is increased.
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