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A rigid plate ABCD, 1 m2 is supported over four legs of equal lengths of same crosssection and same material. A vertical load 1200 N acts at point E such that
AM = LE = 0.5 m
AL = ME = 0.4 m
The reactions RA , RB , RC and RD are
- a)RA = 360N, RB = 360N, RC = 240N, RD = 240N
- b)RA = 240N, RB = 240N, RC = 360N, RD = 360N
- c)RA = 360N, RB = 240N, RC = 360N, RD = 360N
- d)RA = 240N, RB = 360N, RC = 240N, RD = 360N
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A rigid plate ABCD, 1 m2 is supported over four legs of equal lengths...
For equilibrium RA + RB + RC + RD = 1200 N ⋯ ①
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ABCD is a rigid plate, under load, its plane is changed, it is not deformed. Say under load legs deform by δA , δB , δC , δD respectively.
Diagonal AC and diagonal BD remain straight. Centre of the plate lies on both diagonals AC and BD.
δO = deflection at centre of plates
Moreover within the elastic limit, deflection is proportional to the load (or reaction) so
RA + RC = RB + RD
= 1200 / 2
= 600N ⋯ ③
Now taking moments of the forces about the edge AB
1200 x ME = I x AC + RD x 1
1200 x 0.4 = RC + RD
But RC + RD = 480
Taking moments about edge AD
1200 x 0.5 = RB x 1 + RC x 1
RB + RC = 600
RB − RC = 120
RB = 360N
RC = 240N
RA = 600 − RC
RA = 600 − 240 = 360N
RB + RD = 600
RD = 600 − RB
= 600 − 360 = 240N
Finally the reactions are RA = 360N,
RB = 360N, RC = 240N, RD = 240N
Most Upvoted Answer
A rigid plate ABCD, 1 m2 is supported over four legs of equal lengths...
For equilibrium RA + RB + RC + RD = 1200 N ⋯ ①
ABCD is a rigid plate, under load, its plane is changed, it is not deformed. Say under load legs deform by δA , δB , δC , δD respectively.
Diagonal AC and diagonal BD remain straight. Centre of the plate lies on both diagonals AC and BD.
δO = deflection at centre of plates
Moreover within the elastic limit, deflection is proportional to the load (or reaction) so
RA + RC = RB + RD
= 1200 / 2
= 600N ⋯ ③
Now taking moments of the forces about the edge AB
1200 x ME = I x AC + RD x 1
1200 x 0.4 = RC + RD
But RC + RD = 480
Taking moments about edge AD
1200 x 0.5 = RB x 1 + RC x 1
RB + RC = 600
RB − RC = 120
RB = 360N
RC = 240N
RA = 600 − RC
RA = 600 − 240 = 360N
RB + RD = 600
RD = 600 − RB
= 600 − 360 = 240N
Finally the reactions are RA = 360N,
RB = 360N, RC = 240N, RD = 240N
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A rigid plate ABCD, 1 m2 is supported over four legs of equal lengths of same crosssection and same material. A vertical load 1200 N acts at point E such thatAM = LE = 0.5 mAL = ME = 0.4 mThe reactions RA , RB , RC and RD area) RA = 360N, RB = 360N, RC = 240N, RD = 240Nb) RA = 240N, RB = 240N, RC = 360N, RD = 360Nc) RA = 360N, RB = 240N, RC = 360N, RD = 360Nd) RA = 240N, RB = 360N, RC = 240N, RD = 360NCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A rigid plate ABCD, 1 m2 is supported over four legs of equal lengths of same crosssection and same material. A vertical load 1200 N acts at point E such thatAM = LE = 0.5 mAL = ME = 0.4 mThe reactions RA , RB , RC and RD area) RA = 360N, RB = 360N, RC = 240N, RD = 240Nb) RA = 240N, RB = 240N, RC = 360N, RD = 360Nc) RA = 360N, RB = 240N, RC = 360N, RD = 360Nd) RA = 240N, RB = 360N, RC = 240N, RD = 360NCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rigid plate ABCD, 1 m2 is supported over four legs of equal lengths of same crosssection and same material. A vertical load 1200 N acts at point E such thatAM = LE = 0.5 mAL = ME = 0.4 mThe reactions RA , RB , RC and RD area) RA = 360N, RB = 360N, RC = 240N, RD = 240Nb) RA = 240N, RB = 240N, RC = 360N, RD = 360Nc) RA = 360N, RB = 240N, RC = 360N, RD = 360Nd) RA = 240N, RB = 360N, RC = 240N, RD = 360NCorrect answer is option 'A'. Can you explain this answer?.
A rigid plate ABCD, 1 m2 is supported over four legs of equal lengths of same crosssection and same material. A vertical load 1200 N acts at point E such thatAM = LE = 0.5 mAL = ME = 0.4 mThe reactions RA , RB , RC and RD area) RA = 360N, RB = 360N, RC = 240N, RD = 240Nb) RA = 240N, RB = 240N, RC = 360N, RD = 360Nc) RA = 360N, RB = 240N, RC = 360N, RD = 360Nd) RA = 240N, RB = 360N, RC = 240N, RD = 360NCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A rigid plate ABCD, 1 m2 is supported over four legs of equal lengths of same crosssection and same material. A vertical load 1200 N acts at point E such thatAM = LE = 0.5 mAL = ME = 0.4 mThe reactions RA , RB , RC and RD area) RA = 360N, RB = 360N, RC = 240N, RD = 240Nb) RA = 240N, RB = 240N, RC = 360N, RD = 360Nc) RA = 360N, RB = 240N, RC = 360N, RD = 360Nd) RA = 240N, RB = 360N, RC = 240N, RD = 360NCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rigid plate ABCD, 1 m2 is supported over four legs of equal lengths of same crosssection and same material. A vertical load 1200 N acts at point E such thatAM = LE = 0.5 mAL = ME = 0.4 mThe reactions RA , RB , RC and RD area) RA = 360N, RB = 360N, RC = 240N, RD = 240Nb) RA = 240N, RB = 240N, RC = 360N, RD = 360Nc) RA = 360N, RB = 240N, RC = 360N, RD = 360Nd) RA = 240N, RB = 360N, RC = 240N, RD = 360NCorrect answer is option 'A'. Can you explain this answer?.
Solutions for A rigid plate ABCD, 1 m2 is supported over four legs of equal lengths of same crosssection and same material. A vertical load 1200 N acts at point E such thatAM = LE = 0.5 mAL = ME = 0.4 mThe reactions RA , RB , RC and RD area) RA = 360N, RB = 360N, RC = 240N, RD = 240Nb) RA = 240N, RB = 240N, RC = 360N, RD = 360Nc) RA = 360N, RB = 240N, RC = 360N, RD = 360Nd) RA = 240N, RB = 360N, RC = 240N, RD = 360NCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
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Here you can find the meaning of A rigid plate ABCD, 1 m2 is supported over four legs of equal lengths of same crosssection and same material. A vertical load 1200 N acts at point E such thatAM = LE = 0.5 mAL = ME = 0.4 mThe reactions RA , RB , RC and RD area) RA = 360N, RB = 360N, RC = 240N, RD = 240Nb) RA = 240N, RB = 240N, RC = 360N, RD = 360Nc) RA = 360N, RB = 240N, RC = 360N, RD = 360Nd) RA = 240N, RB = 360N, RC = 240N, RD = 360NCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A rigid plate ABCD, 1 m2 is supported over four legs of equal lengths of same crosssection and same material. A vertical load 1200 N acts at point E such thatAM = LE = 0.5 mAL = ME = 0.4 mThe reactions RA , RB , RC and RD area) RA = 360N, RB = 360N, RC = 240N, RD = 240Nb) RA = 240N, RB = 240N, RC = 360N, RD = 360Nc) RA = 360N, RB = 240N, RC = 360N, RD = 360Nd) RA = 240N, RB = 360N, RC = 240N, RD = 360NCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for A rigid plate ABCD, 1 m2 is supported over four legs of equal lengths of same crosssection and same material. A vertical load 1200 N acts at point E such thatAM = LE = 0.5 mAL = ME = 0.4 mThe reactions RA , RB , RC and RD area) RA = 360N, RB = 360N, RC = 240N, RD = 240Nb) RA = 240N, RB = 240N, RC = 360N, RD = 360Nc) RA = 360N, RB = 240N, RC = 360N, RD = 360Nd) RA = 240N, RB = 360N, RC = 240N, RD = 360NCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of A rigid plate ABCD, 1 m2 is supported over four legs of equal lengths of same crosssection and same material. A vertical load 1200 N acts at point E such thatAM = LE = 0.5 mAL = ME = 0.4 mThe reactions RA , RB , RC and RD area) RA = 360N, RB = 360N, RC = 240N, RD = 240Nb) RA = 240N, RB = 240N, RC = 360N, RD = 360Nc) RA = 360N, RB = 240N, RC = 360N, RD = 360Nd) RA = 240N, RB = 360N, RC = 240N, RD = 360NCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A rigid plate ABCD, 1 m2 is supported over four legs of equal lengths of same crosssection and same material. A vertical load 1200 N acts at point E such thatAM = LE = 0.5 mAL = ME = 0.4 mThe reactions RA , RB , RC and RD area) RA = 360N, RB = 360N, RC = 240N, RD = 240Nb) RA = 240N, RB = 240N, RC = 360N, RD = 360Nc) RA = 360N, RB = 240N, RC = 360N, RD = 360Nd) RA = 240N, RB = 360N, RC = 240N, RD = 360NCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
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