Simply start by modeling the beam, with supports and apply loads. To calculate bearing stress, divide the force over the contact area between the fastener and hole. The bolt cross sectional area is critical to the prior calculation. 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! 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. 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. 2. 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. 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. Stress Area formulae . 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. The following formula for the Tensile Stress Area of the (male) screw . D = Basic Diameter. Related: Bolt or Pin Double Shear Equation and Calculator This is based on ISO 898 Part 1. see calculation below.. 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. Bearing Area Stress for t Plate and Bolt/Pin. Permissible stress = safe stress for bolt = 650 Mpa, 650 = 10/(3.14*d*d) Or, d = 14.28 mm. Therefore: allowable stress = ultimate stress / F.S. 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. B t1 = F / ( t 1 d) Where: Normally I design the U-bolt based on tensile stress due to possible upward force and shear stress based on lateral force. 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 ... A bending stress on a beam can increase tensile and shear stresses on the bolts. So, minimum preload in the bolt, Fp=10 KN. From eq.3, by applying Max. B t = F / (2 t d) Bearing Area Stress for Plates t 1 and Bolt/'Pin. Factor of Safety = F.S = ultimate stress / allowable stress . 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