Eccentrically Loaded Connections Generally the structural members are subjected to the axial loading which is acting on the central vertical axis of the member. But sometimes it is possibility that the load acting on the members is not particularly on its axis but a far distance from its centre. That distance is considered as the Eccentric Distance and the load acting at that particular distance apart from its axis is defined as Eccentric Load.
The welded joints subjected to eccentric load are two types:- Eccentric Load C ausing T wisting Moment Eccentric Load Causing Bending Moment
(a) Eccentric Load Causing Twisting Moment The centre of gravity of the weld lies in the plane of line of action of of the applied load.
Load P will cause direct shear and twisting moment in the weld. G = Centroid of weld x ̄ and ȳ are the co-ordinates of centroid of the weld B is the critical point on the weld, x and y are the co-ordinates of the critical weld point, r = Stress due to the direct shear, P d = P/ l w
Stress due to the torsion, P t = T * r / Ip Where, T = Twisting Moment r = distance of critical point from G Ip = Polar M.I. of weld Resultant Stress, R = weld resistance = t t * f wd R = tt * fwd
(a) Eccentric Load Causing Bending Moment The centre of gravity of the weld does not lies in the plane of line of action of the applied load. The load will cause direct shear and bending moment in the weld.
1. Fillet Welds: Direct Shear Stress = Load / Effective area of the weld Q = P / 2 * lw *t t Bending Stress = Moment / Section Modulus f a = M / Z = M / I * y Resultant Stress,
2. Groove Welds: Direct Shear Stress, Q = P / d * t Where, D = Depth of plate T = Thickness of Plate Bending Stress = Moment / Section Modulus f a = M / Z = M / I * y Resultant Stress , f e =
Examples 1. A bracket plate is attached to the flange of column ISMB 250 * 5 mm fillet weld as shown in figure. Find the maximum factored load W carried by the bracket. Assume site welding and steel Fe 410.
The load will cause direct shear and tension due to bending. Assume throat thickness equal to unity. Direct shear stress = Load / Effective area of weld q = W / (200 * 2* 1) = 2.5 * W N/mm Moment = M = W * 150 N/mm I zz = 2 * 1*(200³ / 12) = 1.33 * y = 200 / 2 = 100 mm Bending Stress = M * y / I = W * 150 * 100 / 1.33 * = 0.0113 W N/mm
Vector sum of stress, f e = = + = 0.0115 W N/mm Strength of 5 mm fillet weld = t t * f wd = 0.70 * 5 * 158 ( f wd = 158 N/ for the field weld) = 553 N/mm Now, 0.0115 W = 553 W = 48086 N W = 48.086 kN
2. Determine the length of a fillet weld required to carry 180 kN load as shown in figure. Use 8 mm shop weld.
Factored load = 180 kN For the shop weld f wd = 189 N/ Size of weld = S = 8 mm t t = 0.7 * 8 = 5.6 mm l w = t t * f wd = / 2 * 5.6 * 189 = 225.87 mm Adopt s length of weld = l w = 300 mm
Direct Shear Stress, q = P / (2 * l w * t t ) = 180 * / (2 * 300 * 5.6) = 53.53 N / Bending Stress, f b = 6M / (2 * l w * t t ) = (6 * 18 * ) / (2 * 5.6 * ) = 107.14 N / Resultant Stress, f e = = + = 123.80 N / < 189 N / therefore O.K. Hence, 300 mm length of fillet weld is used 8 mm is sufficient.