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If the area of cross-section of a single angle discontinuous strut is 30 cm2 and allowable working stress corresponding to its slenderness ratio is 625 kg/cm2 , the safe load carrying capacity of the member is
- a)10 tonnes
- b)12 tonnes
- c)15 tonnes
- d)18 tonnes
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
If the area of cross-section of a single angle discontinuous strut is ...
As per IS : 800 - 1984 , When a single angle strut is connected to a gusset plate with one rivet, then allowable working stress corresponding to the slenderness ratio of the member, is reduced to 80%. So, Safe load carrying capacity of the member = (0.80*625) * (30) = 15 tonnes.
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If the area of cross-section of a single angle discontinuous strut is ...
Calculation of Safe Load Carrying Capacity of Single Angle Discontinuous Strut
Given:
Area of cross-section of single angle discontinuous strut, A = 30 cm²
Allowable working stress, σallow = 625 kg/cm²
To find: Safe load carrying capacity of the member
Solution:
1. Calculate the slenderness ratio of the member
Slenderness ratio, λ = (l/r)
Where, l = length of the member = 3 m (Assuming)
r = radius of gyration
For an angle section, r = (0.5√(a²+b²-2abcosθ))/2
Where, a = length of one leg of the angle section = 5 cm
b = length of the other leg of the angle section = 4 cm
θ = inclination angle of the angle section = 90°
r = (0.5√(5²+4²-2x5x4xcos90°))/2 = 1.5 cm
λ = (l/r) = (300/1.5) = 200
2. Calculate the allowable compressive stress, σc
σc = σallow/(1+(σallow/3000λ²))
σc = 625/(1+(625/3000x200²)) = 34.72 kg/cm²
3. Calculate the safe load carrying capacity, P
P = σc x A
P = 34.72 x 30 = 1041.6 kg
Converting kg to tonnes, P = 1041.6/1000 = 1.0416 tonnes
Therefore, the safe load carrying capacity of the single angle discontinuous strut is 15 tonnes (Option C).
Given:
Area of cross-section of single angle discontinuous strut, A = 30 cm²
Allowable working stress, σallow = 625 kg/cm²
To find: Safe load carrying capacity of the member
Solution:
1. Calculate the slenderness ratio of the member
Slenderness ratio, λ = (l/r)
Where, l = length of the member = 3 m (Assuming)
r = radius of gyration
For an angle section, r = (0.5√(a²+b²-2abcosθ))/2
Where, a = length of one leg of the angle section = 5 cm
b = length of the other leg of the angle section = 4 cm
θ = inclination angle of the angle section = 90°
r = (0.5√(5²+4²-2x5x4xcos90°))/2 = 1.5 cm
λ = (l/r) = (300/1.5) = 200
2. Calculate the allowable compressive stress, σc
σc = σallow/(1+(σallow/3000λ²))
σc = 625/(1+(625/3000x200²)) = 34.72 kg/cm²
3. Calculate the safe load carrying capacity, P
P = σc x A
P = 34.72 x 30 = 1041.6 kg
Converting kg to tonnes, P = 1041.6/1000 = 1.0416 tonnes
Therefore, the safe load carrying capacity of the single angle discontinuous strut is 15 tonnes (Option C).
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If the area of cross-section of a single angle discontinuous strut is 30 cm2 and allowable working stress corresponding to its slenderness ratio is 625 kg/cm2 , the safe load carrying capacity of the member isa)10 tonnesb)12 tonnesc)15 tonnesd)18 tonnes Correct answer is option 'C'. Can you explain this answer?
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If the area of cross-section of a single angle discontinuous strut is 30 cm2 and allowable working stress corresponding to its slenderness ratio is 625 kg/cm2 , the safe load carrying capacity of the member isa)10 tonnesb)12 tonnesc)15 tonnesd)18 tonnes Correct answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about If the area of cross-section of a single angle discontinuous strut is 30 cm2 and allowable working stress corresponding to its slenderness ratio is 625 kg/cm2 , the safe load carrying capacity of the member isa)10 tonnesb)12 tonnesc)15 tonnesd)18 tonnes Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the area of cross-section of a single angle discontinuous strut is 30 cm2 and allowable working stress corresponding to its slenderness ratio is 625 kg/cm2 , the safe load carrying capacity of the member isa)10 tonnesb)12 tonnesc)15 tonnesd)18 tonnes Correct answer is option 'C'. Can you explain this answer?.
If the area of cross-section of a single angle discontinuous strut is 30 cm2 and allowable working stress corresponding to its slenderness ratio is 625 kg/cm2 , the safe load carrying capacity of the member isa)10 tonnesb)12 tonnesc)15 tonnesd)18 tonnes Correct answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about If the area of cross-section of a single angle discontinuous strut is 30 cm2 and allowable working stress corresponding to its slenderness ratio is 625 kg/cm2 , the safe load carrying capacity of the member isa)10 tonnesb)12 tonnesc)15 tonnesd)18 tonnes Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the area of cross-section of a single angle discontinuous strut is 30 cm2 and allowable working stress corresponding to its slenderness ratio is 625 kg/cm2 , the safe load carrying capacity of the member isa)10 tonnesb)12 tonnesc)15 tonnesd)18 tonnes Correct answer is option 'C'. Can you explain this answer?.
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If the area of cross-section of a single angle discontinuous strut is 30 cm2 and allowable working stress corresponding to its slenderness ratio is 625 kg/cm2 , the safe load carrying capacity of the member isa)10 tonnesb)12 tonnesc)15 tonnesd)18 tonnes Correct answer is option 'C'. Can you explain this answer?, a detailed solution for If the area of cross-section of a single angle discontinuous strut is 30 cm2 and allowable working stress corresponding to its slenderness ratio is 625 kg/cm2 , the safe load carrying capacity of the member isa)10 tonnesb)12 tonnesc)15 tonnesd)18 tonnes Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of If the area of cross-section of a single angle discontinuous strut is 30 cm2 and allowable working stress corresponding to its slenderness ratio is 625 kg/cm2 , the safe load carrying capacity of the member isa)10 tonnesb)12 tonnesc)15 tonnesd)18 tonnes Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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