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Joints I, J, K, L, Q and M of the frame shown in the figure (not drawn to the scale) are pins. Continuous members IQ and IJ are connected through a pin at N. Continuous members JM and KQ are connected through a pin at P. The frame has hinge supports at joints R and S. The loads acting at joints I, J and K are along the negative Y direction and the loads acting at joints I, M are along the positive X direction.

The magnitude of the horizontal component of reaction (in kN) at S, is
  • a)
    15
  • b)
    10
  • c)
    5
  • d)
    20
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Joints I, J, K, L, Q and M of the frame shown in the figure (not drawn...

Remove hinge at support S and replace it with roller support as shown in the figure.
Ist Step:  Find coordinates of all the points where forces are acting.

IInd step: Find virtual displacements of all the points.

IIIrd Step: Use principle of virtual work to find unknown horizontal force HS
⇒δU =0


Substituting, θ = 45°, Hs = 90/6 = 15 kN
Note : Sign conventions
If a force acts along positive x or positive y-axis, take it as positive.
If a force acts along negative x or negative y-axis, take it as negative.
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Joints I, J, K, L, Q and M of the frame shown in the figure (not drawn to the scale) are pins. Continuous members IQ and IJ are connected through a pin at N. Continuous members JM and KQ are connected through a pin at P. The frame has hinge supports at joints R and S. The loads acting at joints I, J and K are along the negative Y direction and the loads acting at joints I, M are along the positive X direction.The magnitude of the horizontal component of reaction (in kN) at S, isa)15b)10c)5d)20Correct answer is option 'A'. Can you explain this answer?
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Joints I, J, K, L, Q and M of the frame shown in the figure (not drawn to the scale) are pins. Continuous members IQ and IJ are connected through a pin at N. Continuous members JM and KQ are connected through a pin at P. The frame has hinge supports at joints R and S. The loads acting at joints I, J and K are along the negative Y direction and the loads acting at joints I, M are along the positive X direction.The magnitude of the horizontal component of reaction (in kN) at S, isa)15b)10c)5d)20Correct answer is option 'A'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Joints I, J, K, L, Q and M of the frame shown in the figure (not drawn to the scale) are pins. Continuous members IQ and IJ are connected through a pin at N. Continuous members JM and KQ are connected through a pin at P. The frame has hinge supports at joints R and S. The loads acting at joints I, J and K are along the negative Y direction and the loads acting at joints I, M are along the positive X direction.The magnitude of the horizontal component of reaction (in kN) at S, isa)15b)10c)5d)20Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Joints I, J, K, L, Q and M of the frame shown in the figure (not drawn to the scale) are pins. Continuous members IQ and IJ are connected through a pin at N. Continuous members JM and KQ are connected through a pin at P. The frame has hinge supports at joints R and S. The loads acting at joints I, J and K are along the negative Y direction and the loads acting at joints I, M are along the positive X direction.The magnitude of the horizontal component of reaction (in kN) at S, isa)15b)10c)5d)20Correct answer is option 'A'. Can you explain this answer?.
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