The rigid beam is supported by the three suspender bars. bars ab and ef are made of aluminum and bar cd is made of steel. if each bar has a

Question

The rigid beam is supported by the three suspender bars. bars ab and ef are made of aluminum and bar cd is made of steel. if each bar has a cross-sectional area of 450 mm2, determine the maximum value of p if the allowable stress is (σallow)st = 200 mpa for the steel and ( σallow)al = 150 mpa for the aluminum. est = 200 gpa and eal = 70 gpa.

in progress 0
King 2 weeks 2021-09-05T15:31:17+00:00 1 Answers 0 views 0

Answers ( )

    0
    2021-09-05T15:32:39+00:00

    Answer:

    Pmax = 67.5 KN

    Explanation:

    We need to calculate the maximum allowable value of P for both aluminum and steel bars.

    FOR STEEL BARS:

    Since,

    (σallow)st = (Pmax)st/A

    where,

    (σallow)st = maximum allowable stress of steel bar = 200 MPa = 2 x 10⁸ Pa

    A = Cross-sectional area of steel bar = 450 mm² = 0.45 x 10⁻³ m²

    (Pmax)st = Maximum allowable force for steel bar = ?

    Therefore,

    2 x 10⁸ Pa = (Pmax)st/0.45 x 10⁻³ m²

    (Pmax)st = (2 x 10⁸ Pa)(0.45 x 10⁻³ m²)

    (Pmax)st = 9 x 10⁴ N = 90 KN

    FOR Aluminum BARS:

    Since,

    (σallow)al = (Pmax)al/A

    where,

    (σallow)al = maximum allowable stress of Al bar = 150 MPa = 1.5 x 10⁸ Pa

    A = Cross-sectional area of Aluminum bar = 450 mm² = 0.45 x 10⁻³ m²

    (Pmax)al = Maximum allowable force for Aluminum bar = ?

    Therefore,

    1.5 x 10⁸ Pa = (Pmax)al/0.45 x 10⁻³ m²

    (Pmax)al = (1.5 x 10⁸ Pa)(0.45 x 10⁻³ m²)

    (Pmax)al = 6.75 x 10⁴ N = 67.5 KN

    Since,

    (Pmax)al < (Pmax)st

    Therefore,

    The maximum allowable force will be:

    Pmax = (Pmax)al

    Pmax = 67.5 KN

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )