Some of the most commonly used and widely accepted references for classical hand calculations in structural analysis are as follows: Formulas for Stress And Strain - Roarks; Airframe Sress Analysis - Niu Therefore: allowable stress = ultimate stress / F.S. D = Basic Diameter. The TIA Standard has no requirement for this condition. However, AASHTO requires bending to be considered whenever the clear distance is greater than one bolt diameter. B t = Bearing Area Stress Area ( N/mm 2, lbs/in 2) F = Applied Force (N, lbs) t = Thickness (mm, in) d = Diameter (mm, in) Factor of Safety. So for this example we have to select M16 bolt. The area of bolt available for use by a shear plane will depend on whether or not the shear plane is in a region of the bolt that is threaded. Permissible stress = safe stress for bolt = 650 Mpa, 650 = 10/(3.14*d*d) Or, d = 14.28 mm. Now I got the question to also design the U-bolt for bending stress. Related: Bolt or Pin Double Shear Equation and Calculator Calculating Bending Stress using SkyCiv Beam. Normally I design the U-bolt based on tensile stress due to possible upward force and shear stress based on lateral force. Factor of Safety = F.S = ultimate stress / allowable stress . Of course you don’t need to do these calculations by hand because you can use the SkyCiv Beam – bending stress calculator to find shear and bending stress in a beam! This is based on ISO 898 Part 1. see calculation below.. p = Screw Thread Pitch L e = Length of Thread Engagement A t = The screw thread tensile stress area d p = Pitch circle diameter of thread A ss =The thread shear area. A detailed theoretical study of bolt bending [4] shows that in-plane loads and moments produce both bending stresses and additional tensile stresses in the bolts… Bolt or Pin In Double Shear Equation and Calculator. For easy calculation I divide the pipe force by 2 to get the force for each cross-section of the U-bolt legs. Apart from the bolt diameter calculation for tensile application, you also need to calculate thread engagement length for the bolt. Bolts 8–14 Bearing Stress of Wood under Bolts 8–14 Loads at an Angle to the Grain 8–15 Steel Side Plates 8–15 Bolt Quality 8–15 Effect of Member Thickness 8–16 Two Member, Multiple Member Joints 8–16 Spacing, Edge, and End Distance 8–16 Effect of Bolt Holes 8–16 Pre-1991 Allowable Loads 8–17 Post-1991 Yield Model 8–17 Bolt Pattern Centroid. B t = F / (2 t d) Bearing Area Stress for Plates t 1 and Bolt/'Pin. Stress Area formulae . Bearing Area Stress for t Plate and Bolt/Pin. The list can keep going such as lug analysis, bolt bending, plastic bending, crippling, etc. ... A bending stress on a beam can increase tensile and shear stresses on the bolts. 2. Bending Stresses In Bolts Bolts in ungrouted base plates may be subjected to bending stresses when the clear distance below the leveling nut is excessive. To calculate bearing stress, divide the force over the contact area between the fastener and hole. where A i is the tensile stress area of an individual bolt. So, minimum preload in the bolt, Fp=10 KN. But I think you get the idea. The bolt cross sectional area is critical to the prior calculation. Simply start by modeling the beam, with supports and apply loads. Keep units consistant when performing calculations. B t1 = F / ( t 1 d) Where: The following formula for the Tensile Stress Area of the (male) screw . Just as bending stresses in a beam and torsional stresses in a shaft are centered about the neutral axis, moments on a bolt pattern will tend to rotate the pattern about its centroid. From eq.3, by applying Max. 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