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A horizontal beam (I = 8.616 × 107mm4) carries a uniformly distributed load of 50 kN over its length of 3m. The beam is supported by three vertical steel tie rods, each 1.80m long. One at each end and one at in the middle, the end rods having a diameter of 25mm and the centre rod a diameter of 30mm. The deflection of the centre of the beam is _________mm (Take E = 2 × 105 N/mm2)
(Take E = 2 × 105 N/mm2)
(A) 0.131
(B) 0.139
Correct answer is option ''. Can you explain this answer?
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Verified Answer
A horizontal beam (I = 8.616 × 107mm4) carries a uniformly distribute...
Area of each rod
= A1 = 
= 490.87 mm2
= 490.87 mm2Area of the middle rod
= A2 = 
= 706.86 mm2
= 706.86 mm2Let, P1 = Tension in each end rod
P2 = Tension in the middle rod
f1 = Stress in the rods
f2 = Stress in the middle rod
δ1 = Extension of each end rod
δ2 = Extension of the middle rod
Deflection of the midpoint of the beam
δ2 − δ1 = 
EI(δ2 − δ1) = 
Deflection of beams
8.616 × 107 × 1800(f2 − f1)
= 
2205.696(f2 − f1) = 250 − 5654.88f2
2205.696f2 − 2205.696f1 = 250 − 5654.88f2
7860.576f2 − 2205.696f1 = 250 ⋯ ①
2f1A1 + f2A2 = 50
2f1(490.87) + f2 (706.86) = 50
981.74f, + 706.86f, = 50 ⋯ ②
From equation ① and ②,
7860.576f2 − 2205.696f1 = 5(981.74f,1 + 706.86f2)
7860.576f2 − 2205.696f1 = 4908.70f1 + 3534.3f2
4326.76f2 = 7114.396f1
∴ f2 = 1.644f1
Substituting in equation ②
981.74f1 + 706.86 × 1.644f1 = 50
2143.8178f1 = 50
f1 = 0.02332 kN/mm2 = 23.32 N/mm2
f2 = 1.644 × 23.32 = 38.33 N/mm2
Deflection of the midpoint of the beam
δ2 − δ1 = 
= 
=0.135 mm
Question_Type: 5
Most Upvoted Answer
A horizontal beam (I = 8.616 × 107mm4) carries a uniformly distribute...
Area of each rod
= A1 = = 490.87 mm2
= 490.87 mm2Area of the middle rod
= A2 = = 706.86 mm2
= 706.86 mm2Let, P1 = Tension in each end rod
P2 = Tension in the middle rod
f1 = Stress in the rods
f2 = Stress in the middle rod
δ1 = Extension of each end rod
δ2 = Extension of the middle rod
Deflection of the midpoint of the beam
δ2 − δ1 =
EI(δ2 − δ1) =
Deflection of beams
8.616 × 107 × 1800(f2 − f1)
=
2205.696(f2 − f1) = 250 − 5654.88f2
2205.696f2 − 2205.696f1 = 250 − 5654.88f2
7860.576f2 − 2205.696f1 = 250 ⋯ ①
2f1A1 + f2A2 = 50
2f1(490.87) + f2 (706.86) = 50
981.74f, + 706.86f, = 50 ⋯ ②
From equation ① and ②,
7860.576f2 − 2205.696f1 = 5(981.74f,1 + 706.86f2)
7860.576f2 − 2205.696f1 = 4908.70f1 + 3534.3f2
4326.76f2 = 7114.396f1
∴ f2 = 1.644f1
Substituting in equation ②
981.74f1 + 706.86 × 1.644f1 = 50
2143.8178f1 = 50
f1 = 0.02332 kN/mm2 = 23.32 N/mm2
f2 = 1.644 × 23.32 = 38.33 N/mm2
Deflection of the midpoint of the beam
δ2 − δ1 =
=
=0.135 mm
Question_Type: 5
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A horizontal beam (I = 8.616 × 107mm4) carries a uniformly distributed load of 50 kN over its length of 3m. The beam is supported by three vertical steel tie rods, each 1.80m long. One at each end and one at in the middle, the end rods having a diameter of 25mm and the centre rod a diameter of 30mm. The deflection of the centre of the beam is _________mm (Take E = 2 × 105 N/mm2)(Take E = 2 × 105 N/mm2)(A) 0.131(B) 0.139Correct answer is option ''. Can you explain this answer?
Question Description
A horizontal beam (I = 8.616 × 107mm4) carries a uniformly distributed load of 50 kN over its length of 3m. The beam is supported by three vertical steel tie rods, each 1.80m long. One at each end and one at in the middle, the end rods having a diameter of 25mm and the centre rod a diameter of 30mm. The deflection of the centre of the beam is _________mm (Take E = 2 × 105 N/mm2)(Take E = 2 × 105 N/mm2)(A) 0.131(B) 0.139Correct answer is option ''. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A horizontal beam (I = 8.616 × 107mm4) carries a uniformly distributed load of 50 kN over its length of 3m. The beam is supported by three vertical steel tie rods, each 1.80m long. One at each end and one at in the middle, the end rods having a diameter of 25mm and the centre rod a diameter of 30mm. The deflection of the centre of the beam is _________mm (Take E = 2 × 105 N/mm2)(Take E = 2 × 105 N/mm2)(A) 0.131(B) 0.139Correct answer is option ''. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A horizontal beam (I = 8.616 × 107mm4) carries a uniformly distributed load of 50 kN over its length of 3m. The beam is supported by three vertical steel tie rods, each 1.80m long. One at each end and one at in the middle, the end rods having a diameter of 25mm and the centre rod a diameter of 30mm. The deflection of the centre of the beam is _________mm (Take E = 2 × 105 N/mm2)(Take E = 2 × 105 N/mm2)(A) 0.131(B) 0.139Correct answer is option ''. Can you explain this answer?.
A horizontal beam (I = 8.616 × 107mm4) carries a uniformly distributed load of 50 kN over its length of 3m. The beam is supported by three vertical steel tie rods, each 1.80m long. One at each end and one at in the middle, the end rods having a diameter of 25mm and the centre rod a diameter of 30mm. The deflection of the centre of the beam is _________mm (Take E = 2 × 105 N/mm2)(Take E = 2 × 105 N/mm2)(A) 0.131(B) 0.139Correct answer is option ''. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A horizontal beam (I = 8.616 × 107mm4) carries a uniformly distributed load of 50 kN over its length of 3m. The beam is supported by three vertical steel tie rods, each 1.80m long. One at each end and one at in the middle, the end rods having a diameter of 25mm and the centre rod a diameter of 30mm. The deflection of the centre of the beam is _________mm (Take E = 2 × 105 N/mm2)(Take E = 2 × 105 N/mm2)(A) 0.131(B) 0.139Correct answer is option ''. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A horizontal beam (I = 8.616 × 107mm4) carries a uniformly distributed load of 50 kN over its length of 3m. The beam is supported by three vertical steel tie rods, each 1.80m long. One at each end and one at in the middle, the end rods having a diameter of 25mm and the centre rod a diameter of 30mm. The deflection of the centre of the beam is _________mm (Take E = 2 × 105 N/mm2)(Take E = 2 × 105 N/mm2)(A) 0.131(B) 0.139Correct answer is option ''. Can you explain this answer?.
Solutions for A horizontal beam (I = 8.616 × 107mm4) carries a uniformly distributed load of 50 kN over its length of 3m. The beam is supported by three vertical steel tie rods, each 1.80m long. One at each end and one at in the middle, the end rods having a diameter of 25mm and the centre rod a diameter of 30mm. The deflection of the centre of the beam is _________mm (Take E = 2 × 105 N/mm2)(Take E = 2 × 105 N/mm2)(A) 0.131(B) 0.139Correct answer is option ''. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 7.
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A horizontal beam (I = 8.616 × 107mm4) carries a uniformly distributed load of 50 kN over its length of 3m. The beam is supported by three vertical steel tie rods, each 1.80m long. One at each end and one at in the middle, the end rods having a diameter of 25mm and the centre rod a diameter of 30mm. The deflection of the centre of the beam is _________mm (Take E = 2 × 105 N/mm2)(Take E = 2 × 105 N/mm2)(A) 0.131(B) 0.139Correct answer is option ''. Can you explain this answer?, a detailed solution for A horizontal beam (I = 8.616 × 107mm4) carries a uniformly distributed load of 50 kN over its length of 3m. The beam is supported by three vertical steel tie rods, each 1.80m long. One at each end and one at in the middle, the end rods having a diameter of 25mm and the centre rod a diameter of 30mm. The deflection of the centre of the beam is _________mm (Take E = 2 × 105 N/mm2)(Take E = 2 × 105 N/mm2)(A) 0.131(B) 0.139Correct answer is option ''. Can you explain this answer? has been provided alongside types of A horizontal beam (I = 8.616 × 107mm4) carries a uniformly distributed load of 50 kN over its length of 3m. The beam is supported by three vertical steel tie rods, each 1.80m long. One at each end and one at in the middle, the end rods having a diameter of 25mm and the centre rod a diameter of 30mm. The deflection of the centre of the beam is _________mm (Take E = 2 × 105 N/mm2)(Take E = 2 × 105 N/mm2)(A) 0.131(B) 0.139Correct answer is option ''. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A horizontal beam (I = 8.616 × 107mm4) carries a uniformly distributed load of 50 kN over its length of 3m. The beam is supported by three vertical steel tie rods, each 1.80m long. One at each end and one at in the middle, the end rods having a diameter of 25mm and the centre rod a diameter of 30mm. The deflection of the centre of the beam is _________mm (Take E = 2 × 105 N/mm2)(Take E = 2 × 105 N/mm2)(A) 0.131(B) 0.139Correct answer is option ''. Can you explain this answer? tests, examples and also practice Class 7 tests.
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