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Calculate the reactions at the supports and determine graphically the magnitude and nature of the forces in all the members of the frame structure.

Physics

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Step-by-step solution

2 steps
  1. Identify the supports and external forces.

    The frame has a roller support at the bottom-middle joint (let's call this J5) and a pin support at the top-right joint (let's call this J3).
    External forces are:

    • F1=40 kNF_1 = 40 \text{ kN} downwards at the top-left joint (J1).
    • F2=50 kNF_2 = 50 \text{ kN} downwards at the top-middle joint (J2).
    • F3=50 kNF_3 = 50 \text{ kN} downwards at the top-right joint (J3).
  2. Determine the geometry of the frame.

    The problem states that internal angles are 45∘45^\circ.

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