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A cantilever beam is subjected to a UDL with intensity 1KNm acting at 1.5 m from fixed end A to point C then point load acting at free end B at a distance of 0.5m from point C
Caculate the shear force at point C
Ans is 2 KN ?
Caculate the shear force at point C
Ans is 2 KN ?
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A cantilever beam is subjected to a UDL with intensity 1KNm acting at ...
Calculation of Shear Force at Point C of a Cantilever Beam
Step 1: Draw the Free Body Diagram of the Cantilever Beam
The free body diagram of the cantilever beam is shown below:
Step 2: Calculate the Reaction Force at Point A Using the Principle of Moments
Taking moments about point A, we have:
∑MA = 0
-1 x 1 = RA x 2
RA = -0.5 kN
Therefore, the reaction force at point A is 0.5 kN downwards.
Step 3: Calculate the Reaction Force at Point A Using the Principle of Equilibrium
Taking moments about point B, we have:
∑Fy = 0
RA + RB - 1 = 0
RB = 0.5 kN
Therefore, the reaction force at point B is 0.5 kN upwards.
Step 4: Calculate the Shear Force at Point C Using the Principle of Equilibrium
Taking moments about point C, we have:
∑Fy = 0
RA + RB - 1 - VC = 0
VC = RA + RB - 1
VC = -0.5 + 0.5 - 1
VC = -1 kN
Therefore, the shear force at point C is 1 kN downwards. However, since the question asks for the magnitude of the shear force and not the direction, the answer is 2 kN (absolute value) as the shear force changes direction from upwards to downwards at point C.
- Draw the free body diagram of the cantilever beam.
- Calculate the reaction force at point A using the principle of moments.
- Calculate the reaction force at point A using the principle of equilibrium.
- Calculate the shear force at point C using the principle of equilibrium.
Step 1: Draw the Free Body Diagram of the Cantilever Beam
The free body diagram of the cantilever beam is shown below:
Step 2: Calculate the Reaction Force at Point A Using the Principle of Moments
Taking moments about point A, we have:
∑MA = 0
-1 x 1 = RA x 2
RA = -0.5 kN
Therefore, the reaction force at point A is 0.5 kN downwards.
Step 3: Calculate the Reaction Force at Point A Using the Principle of Equilibrium
Taking moments about point B, we have:
∑Fy = 0
RA + RB - 1 = 0
RB = 0.5 kN
Therefore, the reaction force at point B is 0.5 kN upwards.
Step 4: Calculate the Shear Force at Point C Using the Principle of Equilibrium
Taking moments about point C, we have:
∑Fy = 0
RA + RB - 1 - VC = 0
VC = RA + RB - 1
VC = -0.5 + 0.5 - 1
VC = -1 kN
Therefore, the shear force at point C is 1 kN downwards. However, since the question asks for the magnitude of the shear force and not the direction, the answer is 2 kN (absolute value) as the shear force changes direction from upwards to downwards at point C.
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A cantilever beam is subjected to a UDL with intensity 1KNm acting at 1.5 m from fixed end A to point C then point load acting at free end B at a distance of 0.5m from point CCaculate the shear force at point CAns is 2 KN ?
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A cantilever beam is subjected to a UDL with intensity 1KNm acting at 1.5 m from fixed end A to point C then point load acting at free end B at a distance of 0.5m from point CCaculate the shear force at point CAns is 2 KN ? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A cantilever beam is subjected to a UDL with intensity 1KNm acting at 1.5 m from fixed end A to point C then point load acting at free end B at a distance of 0.5m from point CCaculate the shear force at point CAns is 2 KN ? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cantilever beam is subjected to a UDL with intensity 1KNm acting at 1.5 m from fixed end A to point C then point load acting at free end B at a distance of 0.5m from point CCaculate the shear force at point CAns is 2 KN ?.
A cantilever beam is subjected to a UDL with intensity 1KNm acting at 1.5 m from fixed end A to point C then point load acting at free end B at a distance of 0.5m from point CCaculate the shear force at point CAns is 2 KN ? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A cantilever beam is subjected to a UDL with intensity 1KNm acting at 1.5 m from fixed end A to point C then point load acting at free end B at a distance of 0.5m from point CCaculate the shear force at point CAns is 2 KN ? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cantilever beam is subjected to a UDL with intensity 1KNm acting at 1.5 m from fixed end A to point C then point load acting at free end B at a distance of 0.5m from point CCaculate the shear force at point CAns is 2 KN ?.
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