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= 100cmta.1.5tb.6.4 tc.0.8 td.2.7t
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= 100cmta.1.5tb.6.4 tc.0.8 td.2.7t
Solution
The calculation of the resultant shear force on torsion bolts connection (Qb) involves several steps. Here's how you can do it:
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First, calculate the shear force per bolt (Q) using the formula Q = (Qx^2 + Qy^2)^0.5 / n, where Qx and Qy are the shear forces in the x and y directions respectively, and n is the number of bolts. In this case, Qx = 10t, Qy = 2t, and n = 12.
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Next, calculate the torsional moment (Mt) using the formula Mt = Q * e, where e is the eccentricity. In this case, e = 5cm.
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Then, calculate the additional shear force due to torsion (Qt) using the formula Qt = Mt / (n * p), where p is the pitch circle diameter. In this case, p = 10cm.
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Finally, add the shear force per bolt (Q) and the additional shear force due to torsion (Qt) to get the resultant shear force on torsion bolts connection (Qb).
Please note that this is a simplified explanation and the actual calculation may involve more complex considerations depending on the specific design and loading conditions. Also, the units of measurement should be consistent throughout the calculation.
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