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Determine the effective net area using the U values given on Table 3.2 An MC12x45 is connected through its web with 3 gages lines of 22mm diameter bolts. The gage lines are 76mm on center and the bolts are spaced 80mm on center along the gage line. If the center row of bolt is staggered with respect to the outer row, determine the effective net cross-sectional area of the channel. Assume there are four bolts in each line. Draw the figure first and label it properly. Draw the fracture path using different color or line weights.

Determine the effective net area using the U values given on Table 3.2 An MC12x45 is connected through its web with 3 gages lines of 22mm diameter bolts. The gage lines are 76mm on center and the bolts are spaced 80mm on center along the gage line. If the center row of bolt is staggered with respect to the outer row, determine the effective net cross-sectional area of the channel. Assume there are four bolts in each line. Draw the figure first and label it properly. Draw the fracture path using different color or line weights.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Determine the effective net area using the U values given on Table 3.2 An MC12x45 is connected through its web with 3 gages lines of 22mm diameter bolts. The gage lines are 76mm on center and the bolts are spaced 80mm on center along the gage line. If the center row of bolt is staggered with respect to the outer row, determine the effective net cross-sectional area of the channel. Assume there are four bolts in each line. Draw the figure first and label it properly. Draw the fracture path using different color or line weights.

TABLE 3.2 Shear Lag Factors for Connections to Tension Members Description of Element All tension members where the tension load is transmitted directly to each of the cross-sectional elements by fasteners or welds (except as in Cases 4, 5 and 6). All tension members, except plates and HSS, where the tension load is transmitted to some but not all of the cross-sectional elements by fasteners or longitudinal welds or by longitudinal welds in combination with transverse welds. Case Shear Lag Factor, U Example 1 U = 1.0 I. U = 1 - X/l (Alternatively, for W, M, S and HP, Case 7 may be used. For angles, Case 8 may be used.) U = 1.0 and All tension members where the tension load is transmitted only by transverse welds to some but not all of the cross-sectional elements. = area of the directly An connected elements 4 Plates where the tension load is 12 2w... U = 1.0 2w >1 1.5w... U = 0.87 - 1.5w >12 w...U = 0.75 transmitted by longitudinal welds only. 12 1.3D... U = 1.0 DsI< 1.3D... U = 1 - x/l X = D/T 5 Round HSS with a single concentric gusset plate 6. with a single con- centric gusset plate Rectangular HSS 12 H... U = 1 – x/l H B2 + 2BH 4(В + H) with two side gusset plates 12H... U =1 – x/l H B? 4(В + H) W, M, S or HP Shapes or Tees cut from these shapes. |(If U is calculated per Case 2, the |larger value is per- mitted to be used.) with flange con- nected with 3 or more fasteners per line in the direction of loading 7 b;2 2/3d... U = 0.90 bf < 2/3d ... U = 0.85 with web connected with 4 or more fas- U = 0.70 teners per line in the direction of loading 8 Single and double angles (If U is calculated per Case 2, the larger value is permitted to be used.) with 4 or more fas- U = 0.80 teners per line in the direction of loading with 3 fasteners per line in the direction of loading (With fewer than 3 fasteners per line in the direction of U = 0.60 %3D loading, use Case 2.) | = length of connection, in. (mm); w = width of rectangular HSS member, measured 90° to the plane of the connection, in. (mm); H = overall height of rectangular HSS member, measured in the plane of the connection, in. (mm) plate width, in. (mm); x = eccentricity of connection, in. (mm); B = overall 3.
Transcribed Image Text:TABLE 3.2 Shear Lag Factors for Connections to Tension Members Description of Element All tension members where the tension load is transmitted directly to each of the cross-sectional elements by fasteners or welds (except as in Cases 4, 5 and 6). All tension members, except plates and HSS, where the tension load is transmitted to some but not all of the cross-sectional elements by fasteners or longitudinal welds or by longitudinal welds in combination with transverse welds. Case Shear Lag Factor, U Example 1 U = 1.0 I. U = 1 - X/l (Alternatively, for W, M, S and HP, Case 7 may be used. For angles, Case 8 may be used.) U = 1.0 and All tension members where the tension load is transmitted only by transverse welds to some but not all of the cross-sectional elements. = area of the directly An connected elements 4 Plates where the tension load is 12 2w... U = 1.0 2w >1 1.5w... U = 0.87 - 1.5w >12 w...U = 0.75 transmitted by longitudinal welds only. 12 1.3D... U = 1.0 DsI< 1.3D... U = 1 - x/l X = D/T 5 Round HSS with a single concentric gusset plate 6. with a single con- centric gusset plate Rectangular HSS 12 H... U = 1 – x/l H B2 + 2BH 4(В + H) with two side gusset plates 12H... U =1 – x/l H B? 4(В + H) W, M, S or HP Shapes or Tees cut from these shapes. |(If U is calculated per Case 2, the |larger value is per- mitted to be used.) with flange con- nected with 3 or more fasteners per line in the direction of loading 7 b;2 2/3d... U = 0.90 bf < 2/3d ... U = 0.85 with web connected with 4 or more fas- U = 0.70 teners per line in the direction of loading 8 Single and double angles (If U is calculated per Case 2, the larger value is permitted to be used.) with 4 or more fas- U = 0.80 teners per line in the direction of loading with 3 fasteners per line in the direction of loading (With fewer than 3 fasteners per line in the direction of U = 0.60 %3D loading, use Case 2.) | = length of connection, in. (mm); w = width of rectangular HSS member, measured 90° to the plane of the connection, in. (mm); H = overall height of rectangular HSS member, measured in the plane of the connection, in. (mm) plate width, in. (mm); x = eccentricity of connection, in. (mm); B = overall 3.
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