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SF diagram of a beam ABCD 6 m long, hinged at A and roller supported at C, is shown in figure. The distance of the point of contra-flexure from the left support is __________.
- a)3.26
- b)3.28
Correct answer is option ''. Can you explain this answer?
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Verified Answer
SF diagram of a beam ABCD 6 m long, hinged at A and roller supported ...
From SF diagram Reaction at A, RA = 6.5 kN ↑
Reaction at C, RC = 5.5 + 4 = 9.5 kN ↑
Over AB = 3 m
Overhang, CD = 1 m
Load at point, D = 4.0 kN ↓
Fig. (b) shows the loading diagram of the beam.
BM diagram
Position AB(x = 0 − 3 m)
M max.
SF in portion AB,
6.5 − 4(x) = 0 = SF
x = 1.625 m
Mmax = 6.5 × 1.625 − 2 × 1.6252
= 10.5625 − 5.28125
= 5.28 kNm
Point of contra-flexure Less in portion BC,
Mx = 6.5x − 4 × 3(x − 1.5)
Note that CG of UDL lies at 1.5 m from A
6.5x − 12(x − 1.5) = 0
6.5x − 12x + 18 = 0
18 = 5.5x
x = 3.27 m
Fig (c) shown BMD of the beam.
Question_Type: 5
Most Upvoted Answer
SF diagram of a beam ABCD 6 m long, hinged at A and roller supported ...
From SF diagram Reaction at A, RA = 6.5 kN ↑
Reaction at C, RC = 5.5 + 4 = 9.5 kN ↑
Over AB = 3 m
Overhang, CD = 1 m
Load at point, D = 4.0 kN ↓
Fig. (b) shows the loading diagram of the beam.
BM diagram
Position AB(x = 0 − 3 m)
M max.
SF in portion AB,
6.5 − 4(x) = 0 = SF
x = 1.625 m
Mmax = 6.5 × 1.625 − 2 × 1.6252
= 10.5625 − 5.28125
= 5.28 kNm
Point of contra-flexure Less in portion BC,
Mx = 6.5x − 4 × 3(x − 1.5)
Note that CG of UDL lies at 1.5 m from A
6.5x − 12(x − 1.5) = 0
6.5x − 12x + 18 = 0
18 = 5.5x
x = 3.27 m
Fig (c) shown BMD of the beam.
Question_Type: 5
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SF diagram of a beam ABCD 6 m long, hinged at A and roller supported at C, is shown in figure. The distance of the point of contra-flexure from the left support is __________.a) 3.26b) 3.28Correct answer is option ''. Can you explain this answer?
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SF diagram of a beam ABCD 6 m long, hinged at A and roller supported at C, is shown in figure. The distance of the point of contra-flexure from the left support is __________.a) 3.26b) 3.28Correct answer is option ''. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about SF diagram of a beam ABCD 6 m long, hinged at A and roller supported at C, is shown in figure. The distance of the point of contra-flexure from the left support is __________.a) 3.26b) 3.28Correct answer is option ''. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for SF diagram of a beam ABCD 6 m long, hinged at A and roller supported at C, is shown in figure. The distance of the point of contra-flexure from the left support is __________.a) 3.26b) 3.28Correct answer is option ''. Can you explain this answer?.
SF diagram of a beam ABCD 6 m long, hinged at A and roller supported at C, is shown in figure. The distance of the point of contra-flexure from the left support is __________.a) 3.26b) 3.28Correct answer is option ''. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about SF diagram of a beam ABCD 6 m long, hinged at A and roller supported at C, is shown in figure. The distance of the point of contra-flexure from the left support is __________.a) 3.26b) 3.28Correct answer is option ''. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for SF diagram of a beam ABCD 6 m long, hinged at A and roller supported at C, is shown in figure. The distance of the point of contra-flexure from the left support is __________.a) 3.26b) 3.28Correct answer is option ''. Can you explain this answer?.
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