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The allowable tensile stress is 150 N/mm2; the capacity of single ISA 100 × 100 × 10 mm as tension member connected by one leg using 6 number of 21.5 mm gross rivets is _________ kN.
    Correct answer is '210'. Can you explain this answer?
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    The allowable tensile stress is 150 N/mm2; the capacity of single ISA ...
    Given data:
    Allowable tensile stress = 150 N/mm2
    Size of ISA 100 100 10 mm
    Number of rivets = 6
    Diameter of rivets = 21.5 mm gross

    To find:
    Capacity of single ISA 100 100 10 mm as tension member connected by one leg using 6 number of 21.5 mm gross rivets

    Solution:
    1. Area of ISA 100 100 10 mm
    Given ISA size is 100 mm × 100 mm which means it has a cross-sectional area of 100 × 100 = 10,000 mm2.
    Cross-sectional area of the web = thickness × depth = 10 × 100 = 1000 mm2
    Effective area = 10,000 – 2 × 1000 = 8000 mm2

    2. Shear capacity of one rivet
    The shear capacity of one rivet can be calculated as follows:
    Shear capacity of one rivet = 0.577 × π × (d/2)2 × τ
    where d is the diameter of the rivet and τ is the allowable shear stress of the rivet material.
    Given diameter of rivet = 21.5 mm gross
    Net diameter of the rivet = 21.5 – 1.5 = 20 mm
    Allowable shear stress of rivet material = 100 N/mm2 (taken from IS 1929)
    Shear capacity of one rivet = 0.577 × π × (20/2)2 × 100
    = 157.1 kN

    3. Tensile capacity of one rivet
    The tensile capacity of one rivet can be calculated as follows:
    Tensile capacity of one rivet = π × (d/2)2 × σ
    where σ is the allowable tensile stress of the rivet material.
    Given allowable tensile stress = 150 N/mm2
    Tensile capacity of one rivet = π × (20/2)2 × 150
    = 117.8 kN

    4. Total capacity of 6 rivets
    Total shear capacity of 6 rivets = 6 × 157.1 = 942.6 kN
    Total tensile capacity of 6 rivets = 6 × 117.8 = 706.8 kN

    5. Capacity of the tension member
    The minimum of the shear and tensile capacities of the tension member and rivets should be considered as the capacity of the tension member.
    Capacity of the tension member = min (8000, 942.6, 706.8) = 706.8 kN

    Therefore, the capacity of single ISA 100 100 10 mm as a tension member connected by one leg using 6 number of 21.5 mm gross rivets is 706.8 kN.
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    The allowable tensile stress is 150 N/mm2; the capacity of single ISA 100 × 100 × 10 mm as tension member connected by one leg using 6 number of 21.5 mm gross rivets is _________ kN.Correct answer is '210'. Can you explain this answer?
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