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What is resultant shear force on torsion bolts connection (Qb) between gusset plate tG.P=10mm and column flange tf.c=14mm, using Cat. A bolt 20mm, As=2.45 cm2, grade 10.9, St. 52, ,12 bolts are arranged in two columns (6 bolts in each column) where distance between columns is 10 cm,where e=5cm, p=10cm,Qx=10t,Qy=2t,Mt= 100cmt

Question

What is resultant shear force on torsion bolts connection (Qb) between gusset plate tG.P=10mm and column flange tf.c=14mm, using Cat. A bolt 20mm, As=2.45 cm2, grade 10.9, St. 52, ,12 bolts are arranged in two columns (6 bolts in each column) where distance between columns is 10 cm,where e=5cm, p=10cm,Qx=10t,Qy=2t,Mt= 100cmt

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Solution

To calculate the resultant shear force on torsion bolts connection (Qb), we need to follow these steps:

  1. First, we need to calculate the shear force per bolt due to direct shear. This is given by the formula Qx/n, where Qx is the shear force and n is the number of bolts. In this case, Qx = 10t and n = 12, so the shear force per bolt due to direct shear is 10t/12 = 0.833t.

  2. Next, we need to calculate the shear force per bolt due to torsion. This is given by the formula Mt * e / (n * p * d), where Mt is the torsional moment, e is the eccentricity, n is the number of bolts, p is the pitch circle diameter, and d is the distance between the bolt columns. In this case, Mt = 100cmt, e = 5cm, n = 12, p = 10cm, and d = 10cm, so the shear force per bolt due to torsion is 100cmt * 5cm / (12 * 10cm * 10cm) = 0.042t.

  3. The resultant shear force per bolt (Qb) is then the square root of the sum of the squares of the shear force due to direct shear and the shear force due to torsion. In this case, Qb = sqrt((0.833t)^2 + (0.042t)^2) = 0.834t.

  4. The total resultant shear force on the torsion bolts connection is then Qb * n, or 0.834t * 12 = 10.008t.

Please note that this calculation assumes that the bolts are equally loaded, which may not be the case in reality. Also, the actual shear force may be less than this due to the presence of friction between the connected parts.

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