The support at the left end of the beam will fail if the moment about A of the 15-kN force F exceeds 18 kN-m. Based on this criterion, what

Question

The support at the left end of the beam will fail if the moment about A of the 15-kN force F exceeds 18 kN-m. Based on this criterion, what is the largest allowable length of the beam

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Doris 4 years 2021-08-14T18:22:33+00:00 1 Answers 46 views 0

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  1. RuslanHeatt
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    2021-08-14T18:24:02+00:00
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    Answer:

    2.4 m

    Explanation:

    We are given that

    Maximum moment about A=18 kN m

    Force=15 KN

    \theta=30^{\circ}

    We have to find the largest allowable length of the beam

    Let larges length of beam=L

    Moment about A

    M=LFsin 30=L(15)sin 30=7.5 LkN m

    According to question

    M=M_{max}

    7.5 L=18

    L=\frac{18}{7.5}=2.4 m

    Hence, the largest length of the beam=2.4 m

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