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For an I-beam, flange size is 300 x 30 mm and web size is 800 x 16 mm. If the beam is subjected to a bending moment of 65 x 105 kg-cm and a shear force of 60,000 kg, the magnitude of shear stress at a point 25 cm above the neutral axis is ____________ kg/cm2. (Answer up to two decimal places)
Correct answer is '60.43'. Can you explain this answer?
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For an I-beam, flange size is 300 x 30 mm and web size is 800 x 16 mm....
Given: F = 60000 kg, M = 65 x 105 kg-cm and Y = 25 cm
Moment of interia of I-beam is
Magnitude of shear stress at a point 25 cm above the neutral axis is
= 60.43 kg/cm2
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For an I-beam, flange size is 300 x 30 mm and web size is 800 x 16 mm....
Given data:
Flange size: 300 x 30 mm
Web size: 800 x 16 mm
Bending moment: 65 x 10^5 kg-cm
Shear force: 60,000 kg
Point above the neutral axis: 25 cm
Calculating the moment of inertia:
The moment of inertia (I) of an I-beam can be calculated as the sum of the moments of inertia of the flanges and the web.
For the flanges:
I_flange = (1/12) * b * h^3
= (1/12) * 300 * (30^3)
= 1,350,000 mm^4
For the web:
I_web = (1/12) * b * h^3
= (1/12) * 800 * (16^3)
= 163,840 mm^4
Total moment of inertia:
I_total = I_flange + I_web
= 1,350,000 + 163,840
= 1,513,840 mm^4
Calculating the shear stress:
The shear stress (τ) at a point above the neutral axis can be calculated using the formula:
τ = (V * y) / A * I
where,
V = shear force
y = distance from the neutral axis
A = area of the cross-section
I = moment of inertia
Given data:
V = 60,000 kg
y = 25 cm
A = flange area + web area
= (300 * 30) + (800 * 16)
= 9,000 mm^2 + 12,800 mm^2
= 21,800 mm^2
Substituting the values into the formula:
τ = (60,000 * 25) / (21,800 * 1,513,840)
= 1,500,000 / 32,964,032
≈ 0.045 kg/cm^2
Therefore, the magnitude of shear stress at a point 25 cm above the neutral axis is approximately 0.045 kg/cm^2.
Flange size: 300 x 30 mm
Web size: 800 x 16 mm
Bending moment: 65 x 10^5 kg-cm
Shear force: 60,000 kg
Point above the neutral axis: 25 cm
Calculating the moment of inertia:
The moment of inertia (I) of an I-beam can be calculated as the sum of the moments of inertia of the flanges and the web.
For the flanges:
I_flange = (1/12) * b * h^3
= (1/12) * 300 * (30^3)
= 1,350,000 mm^4
For the web:
I_web = (1/12) * b * h^3
= (1/12) * 800 * (16^3)
= 163,840 mm^4
Total moment of inertia:
I_total = I_flange + I_web
= 1,350,000 + 163,840
= 1,513,840 mm^4
Calculating the shear stress:
The shear stress (τ) at a point above the neutral axis can be calculated using the formula:
τ = (V * y) / A * I
where,
V = shear force
y = distance from the neutral axis
A = area of the cross-section
I = moment of inertia
Given data:
V = 60,000 kg
y = 25 cm
A = flange area + web area
= (300 * 30) + (800 * 16)
= 9,000 mm^2 + 12,800 mm^2
= 21,800 mm^2
Substituting the values into the formula:
τ = (60,000 * 25) / (21,800 * 1,513,840)
= 1,500,000 / 32,964,032
≈ 0.045 kg/cm^2
Therefore, the magnitude of shear stress at a point 25 cm above the neutral axis is approximately 0.045 kg/cm^2.
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For an I-beam, flange size is 300 x 30 mm and web size is 800 x 16 mm. If the beam is subjected to a bending moment of 65 x 105 kg-cm and a shear force of 60,000 kg, the magnitude of shear stress at a point 25 cm above the neutral axis is ____________ kg/cm2. (Answer up to two decimal places)Correct answer is '60.43'. Can you explain this answer?
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For an I-beam, flange size is 300 x 30 mm and web size is 800 x 16 mm. If the beam is subjected to a bending moment of 65 x 105 kg-cm and a shear force of 60,000 kg, the magnitude of shear stress at a point 25 cm above the neutral axis is ____________ kg/cm2. (Answer up to two decimal places)Correct answer is '60.43'. Can you explain this answer? 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 For an I-beam, flange size is 300 x 30 mm and web size is 800 x 16 mm. If the beam is subjected to a bending moment of 65 x 105 kg-cm and a shear force of 60,000 kg, the magnitude of shear stress at a point 25 cm above the neutral axis is ____________ kg/cm2. (Answer up to two decimal places)Correct answer is '60.43'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For an I-beam, flange size is 300 x 30 mm and web size is 800 x 16 mm. If the beam is subjected to a bending moment of 65 x 105 kg-cm and a shear force of 60,000 kg, the magnitude of shear stress at a point 25 cm above the neutral axis is ____________ kg/cm2. (Answer up to two decimal places)Correct answer is '60.43'. Can you explain this answer?.
For an I-beam, flange size is 300 x 30 mm and web size is 800 x 16 mm. If the beam is subjected to a bending moment of 65 x 105 kg-cm and a shear force of 60,000 kg, the magnitude of shear stress at a point 25 cm above the neutral axis is ____________ kg/cm2. (Answer up to two decimal places)Correct answer is '60.43'. Can you explain this answer? 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 For an I-beam, flange size is 300 x 30 mm and web size is 800 x 16 mm. If the beam is subjected to a bending moment of 65 x 105 kg-cm and a shear force of 60,000 kg, the magnitude of shear stress at a point 25 cm above the neutral axis is ____________ kg/cm2. (Answer up to two decimal places)Correct answer is '60.43'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For an I-beam, flange size is 300 x 30 mm and web size is 800 x 16 mm. If the beam is subjected to a bending moment of 65 x 105 kg-cm and a shear force of 60,000 kg, the magnitude of shear stress at a point 25 cm above the neutral axis is ____________ kg/cm2. (Answer up to two decimal places)Correct answer is '60.43'. Can you explain this answer?.
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For an I-beam, flange size is 300 x 30 mm and web size is 800 x 16 mm. If the beam is subjected to a bending moment of 65 x 105 kg-cm and a shear force of 60,000 kg, the magnitude of shear stress at a point 25 cm above the neutral axis is ____________ kg/cm2. (Answer up to two decimal places)Correct answer is '60.43'. Can you explain this answer?, a detailed solution for For an I-beam, flange size is 300 x 30 mm and web size is 800 x 16 mm. If the beam is subjected to a bending moment of 65 x 105 kg-cm and a shear force of 60,000 kg, the magnitude of shear stress at a point 25 cm above the neutral axis is ____________ kg/cm2. (Answer up to two decimal places)Correct answer is '60.43'. Can you explain this answer? has been provided alongside types of For an I-beam, flange size is 300 x 30 mm and web size is 800 x 16 mm. If the beam is subjected to a bending moment of 65 x 105 kg-cm and a shear force of 60,000 kg, the magnitude of shear stress at a point 25 cm above the neutral axis is ____________ kg/cm2. (Answer up to two decimal places)Correct answer is '60.43'. Can you explain this answer? theory, EduRev gives you an
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