Question of the Day (04/06/2018)

Structville daily questions
From now henceforth, Structville will be publishing daily questions on different aspects of civil engineering. You are expected to enter your response in the comment section. At the end of every week, exceptional participants will stand a chance to win some gifts. This exercise is open to participants all over the world. Happy new month to you all.

Today’s Question
What is the vertical support reaction at point B of the frame?

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  1. Sum of Moment respect point (A)= By x 5m + 1.0 x 14m = 0 then By = -1.0 x 14 / 5 = – 2.8kN = (-14/5) or if you look at the first triangular bending moment from A to B which is equal to 9.0kNm and divide it for the lever arm which is 5m it is possible to find the reaction Ay = 1.8kN then for the equilibrium of the vertical forces let's say: Ay=1.8kN + By + X2=1.0kn = 0 then By= -2.8 or (-14/5), hence B) is correct.

  2. Total Reaction, Ay + By = – 1 kN (let's say Equation 1)

    Taking moment about B,
    Ay x 5 = 1 x 9
    Ay = 9/5 kN

    Apply the value of Ay in Equation 1, we have

    By = -1 – (9/5) = -14/5 kN

    B) -14/5

  3. -14/5

    If you calculate moment from Point A you get he equation B*5 + (1)*14=0
    And then you get B=-14/5


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