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A 3 m long simply supported beam has a load of 60 N acting at a distance of 1 m from left hand support. The SF at a distance of 1 m from right hand support is
- a)40 N
- b)60 N
- c)30 N
- d)20 N
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A 3 m long simply supported beam has a load of 60 N acting at a dista...
RA + RB = 60N
View all questions of this test
ΣMA = 0
RB x 3 − 60 x 1 = 0
RB = 20
RA = 40
S. FMax = 40 N
Most Upvoted Answer
A 3 m long simply supported beam has a load of 60 N acting at a dista...
Problem:
A simply supported beam with a length of 3 m has a load of 60 N acting at a distance of 1 m from the left-hand support. What is the shear force at a distance of 1 m from the right-hand support?
Solution:
To find the shear force at a distance of 1 m from the right-hand support, we need to analyze the forces and moments acting on the beam.
Free Body Diagram:
Draw a free body diagram of the beam to visualize the forces acting on it.
- The left-hand support exerts an upward reaction force (R1) and a clockwise moment (M1) to counteract the applied load.
- The right-hand support exerts an upward reaction force (R2) and no moment since it is a simply supported beam.
- The applied load of 60 N acts downward at a distance of 1 m from the left-hand support.
Calculating Reactions:
We can apply the equations of equilibrium to calculate the reactions at the supports.
- Sum of vertical forces: R1 + R2 - 60 = 0 (Since the beam is in equilibrium vertically)
- Sum of moments about the left-hand support: 60 * 1 - R2 * 3 = 0 (Clockwise moment due to the applied load is balanced by the counter-clockwise moment due to the reaction at the right-hand support)
Solving these equations, we can find R1 = 60 N and R2 = 20 N.
Calculating Shear Force:
Now, we can determine the shear force at a distance of 1 m from the right-hand support.
- Consider a section of the beam located 1 m from the right-hand support.
- Since there are no forces or loads to the right of this section, the shear force at this section is equal to the reaction force R2.
- Therefore, the shear force at a distance of 1 m from the right-hand support is 20 N.
Conclusion:
The shear force at a distance of 1 m from the right-hand support is 20 N. Therefore, the correct answer is option A.
A simply supported beam with a length of 3 m has a load of 60 N acting at a distance of 1 m from the left-hand support. What is the shear force at a distance of 1 m from the right-hand support?
Solution:
To find the shear force at a distance of 1 m from the right-hand support, we need to analyze the forces and moments acting on the beam.
Free Body Diagram:
Draw a free body diagram of the beam to visualize the forces acting on it.
- The left-hand support exerts an upward reaction force (R1) and a clockwise moment (M1) to counteract the applied load.
- The right-hand support exerts an upward reaction force (R2) and no moment since it is a simply supported beam.
- The applied load of 60 N acts downward at a distance of 1 m from the left-hand support.
Calculating Reactions:
We can apply the equations of equilibrium to calculate the reactions at the supports.
- Sum of vertical forces: R1 + R2 - 60 = 0 (Since the beam is in equilibrium vertically)
- Sum of moments about the left-hand support: 60 * 1 - R2 * 3 = 0 (Clockwise moment due to the applied load is balanced by the counter-clockwise moment due to the reaction at the right-hand support)
Solving these equations, we can find R1 = 60 N and R2 = 20 N.
Calculating Shear Force:
Now, we can determine the shear force at a distance of 1 m from the right-hand support.
- Consider a section of the beam located 1 m from the right-hand support.
- Since there are no forces or loads to the right of this section, the shear force at this section is equal to the reaction force R2.
- Therefore, the shear force at a distance of 1 m from the right-hand support is 20 N.
Conclusion:
The shear force at a distance of 1 m from the right-hand support is 20 N. Therefore, the correct answer is option A.
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A 3 m long simply supported beam has a load of 60 N acting at a distance of 1 m from left hand support. The SF at a distance of 1 m from right hand support isa) 40 Nb) 60 Nc) 30 Nd) 20 NCorrect answer is option 'A'. Can you explain this answer?
Question Description
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A 3 m long simply supported beam has a load of 60 N acting at a distance of 1 m from left hand support. The SF at a distance of 1 m from right hand support isa) 40 Nb) 60 Nc) 30 Nd) 20 NCorrect answer is option 'A'. 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 A 3 m long simply supported beam has a load of 60 N acting at a distance of 1 m from left hand support. The SF at a distance of 1 m from right hand support isa) 40 Nb) 60 Nc) 30 Nd) 20 NCorrect answer is option 'A'. 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 A 3 m long simply supported beam has a load of 60 N acting at a distance of 1 m from left hand support. The SF at a distance of 1 m from right hand support isa) 40 Nb) 60 Nc) 30 Nd) 20 NCorrect answer is option 'A'. Can you explain this answer?.
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