What is the ordinate of influence line for reaction RD at B as shown in the following figure?

F1 Abhishek M 26-10-21 Savita D1

This question was previously asked in
UKPSC AE Civil 2013 Official Paper I
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  1. 0.4
  2. 0.2
  3. 0.5
  4. Zero

Answer (Detailed Solution Below)

Option 3 : 0.5
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ST 1: Theory of Structures - UKPSC AE Civil
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Detailed Solution

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Concepts:

From Muller Breslar's principle, to draw ILD for reaction at any support, remove the support and apply unit displacement, then corresponding deflected shape of Gam itself is the ILD for reaction at that support.

Calculation:

F1 Abhishek M 01-11-21 Savita D4

ΔCDD' ≈ ΔBB'C

\(\frac{DC}{DD'}= \frac{BC}{BB'}\)

\(\frac{4}{1}=\frac{2}{BB'}\) ⇒ BB' = 0.5

∴ Ordinate at B due to RD (ILD) is 0.5.

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