For a fixed-connected collar type of support connection in coplanar structures, the number of unknown(s) is/are 

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UPSC ESE Prelims (Civil) 20 Feb 2022 Official
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  1. three and the reactions are two forces and a moment component
  2. one and the reaction is a moment component
  3. two and the reactions are two forces (one horizontal and one vertical)
  4. two and the reactions are a force and a moment

Answer (Detailed Solution Below)

Option 4 : two and the reactions are a force and a moment
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ST 1: UPSC ESE (IES) Civil - Building Materials
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Detailed Solution

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Explanation:

Type of Connection Reaction Number of Unknowns

Weight legs link

F3 Madhuri Engineering 14.10.2022 D1

F3 Madhuri Engineering 14.10.2022 D2 One - The reaction is a force that acts in the direction of the link

Rollers

F3 Madhuri Engineering 14.10.2022 D3

F3 Madhuri Engineering 14.10.2022 D4 One - The reaction is a force that act perpendicular to the surface at point of contact.

Pin or Hinge

F3 Madhuri Engineering 14.10.2022 D5

F3 Madhuri Engineering 14.10.2022 D6 Two - The reaction are two force components

Guided rollar/ Fixed connected collar

F3 Madhuri Engineering 14.10.2022 D7

F3 Madhuri Engineering 14.10.2022 D8 Two - The reactions are a force and a moment

Fixed support

F3 Madhuri Engineering 14.10.2022 D9

F3 Madhuri Engineering 14.10.2022 D10 Three - The reactions are two forces and a moment

Pin connected collar

F3 Madhuri Engineering 14.10.2022 D11

F3 Madhuri Engineering 14.10.2022 D12 One - The reaction is a force that acts perpendicular to the surface at the point of contact
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