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A AB Ar AS A1, A2, A3, etc. b d E F FB Fb FB(max) FBY FC FC (min) FJ (min) Cross-sectional area, in2 (mm2) Cross-sectional area of the body of a bolt, in2 (mm2) Cross-sectional area of the body of the rivet, in2 (mm2) Cross-sectional area of the tensile stress area of the threaded portion of a bolt, in2 (mm2) Cross-sectional areas of individual fasteners, in2 (mm2) Number of shear planes which pass through the fastener; and/or the number of slip surfaces in a shear joint Nominal diameter of the bolt, in (mm) Modulus of elasticity, psi (MPa) Force, lb (kN) Tension in a bolt, lb (kN) Primary shear force on a bolt, lb (kN) Maximum anticipated tension in the bolt, lb (kN) Tension in a bolt at yield, lb (kN) Clamping force on the joint, lb (kN) Minimum acceptable clamping force on a joint, lb (kN) Minimum anticipated clamping force on the joint, lb (kN)
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22.3 Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright 2004 The McGraw-Hill Companies. All rights reserved. Any use is subject to the Terms of Use as given at the website.
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BOLTED AND RIVETED JOINTS 22.4
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FASTENING, JOINING, AND CONNECTING
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Fn FPA FP (max) FP (min) FPT FTR Fr FT (max) FX F1, F2, F3, etc. H kB kG kJ kT K lG L
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m M n N P PS PZ r rn
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Reaction moment force seen by the nth bolt in an eccentrically loaded shear joint, lb (kN) Average preload in a group of bolts, lb (kN) Maximum anticipated initial preload in a bolt, lb (kN) Minimum anticipated initial preload in a bolt, lb (kN) Target preload, lb (kN) Maximum external transverse load on the joint, per bolt, lb (kN) External shear load on the rivet, lb (kN) Maximum acceptable tension in a bolt, lb (kN) External tension load on a joint, lb (kN) Secondary shear or reaction moment forces seen by individual bolts in an eccentric joint, lb (kN) Distance between the centerline of the bolt holes nearest to the edge of a joint or splice plate and that edge, in (mm) Stiffness of a bolt or rivet, lb/in (kN/mm) Stiffness of a gasket, lb/in (kN/mm) Stiffness of the joint members, lb/in (kN/mm) Stiffness of gasketed joint, lb/in (kN/mm) Nut factor Grip length of the fasteners, in (mm) Distance between the bolt and the nearest edge of the connected part, or to the nearest edge of the next bolt hole, measured in the direction of the force on the joint, in (mm) Effective length of the body of a bolt (the length of body in the grip plus one-half the thickness of the head, for example), in (mm) Effective length of the threaded portion of a bolt [the length of the threads within the grip plus one-half the thickness of the nut(s), for example], in (mm) Number of fasteners in the joint Moment exerted on a shear joint by an external force, lb in (N m) Number of threads per inch Number of cycles achieved in fatigue life test Pitch of the threads, in (mm) Scatter in preload anticipated from bolting tool used for assembly (expressed as a decimal) Percentage loss (expressed as a decimal) in initial preload as a result of short-term relaxation and/or elastic interactions Radial distance from the centroid of a group of fasteners to a fastener, in (mm) Radial distance to the nth fastener, in (mm)
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Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright 2004 The McGraw-Hill Companies. All rights reserved. Any use is subject to the Terms of Use as given at the website.
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BOLTED AND RIVETED JOINTS 22.5
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BOLTED AND RIVETED JOINTS
rs r1, r2, r3, etc. RJB RS S Su SYB t tJ T W x x x1, x2, x3, etc. y y y1, y2, y3, etc. S B (max) T T (max) 2 2 O
2 T
A B
Bolt slenderness ratio (lG/d) Radial distance of individual fasteners, in (mm) Stiffness ratio (kJ/kB) Slip resistance of a friction-type joint, lb (kN) Ratio of the ultimate shear strength of the bolt material to its ultimate tensile strength Minimum ultimate tensile strength, psi (MPa) Yield strength of the bolt, psi (MPa) Thickness of a joint or a splice plate, in (mm) Total thickness of a joint, in (mm) Torque, lb in (N m) Width of a joint plate, in (mm) Coordinate distance, in (mm) Coordinate distance to the centroid of a bolt group, in (mm) x coordinates for individual fasteners, in (mm) Coordinate distance, in (mm) Coordinate distance to the centroid of a bolt group, in (mm) y coordinates for individual fasteners, in (mm) Incremental change or variation Ratio of shear stress in a bolt to the ultimate tensile strength Slip coefficient of a friction-type joint Stress, psi (MPa) Bearing stress, psi (MPa) Maximum tensile stress imposed during fatigue tests, psi (MPa) Allowable tensile stress, psi (MPa) Maximum acceptable tensile stress in a bolt, psi (MPa) Statistical variance (standard deviation squared) Statistical variance of the tension errors created by operator variables Statistical variance of the tension errors created by tool variables Shear stress, psi (MPa) Allowable shear stress, psi (MPa) Shear stress in a bolt, psi (MPa) Ratio of tensile stress in a bolt to the ultimate tensile strength
Joints are an extremely important part of any structure. Whether held together by bolts or rivets or weldments or adhesives or something else, joints make complex structures and machines possible. Bolted joints, at least, also make disassembly and reassembly possible. And many joints are critical elements of the structure, the thing most likely to fail. Because of this, it is important for the designer to understand joints. In this chapter we will deal specifically with bolted and riveted joints, starting with a discussion of joints loaded in shear (with the applied loads at right angles to
Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright 2004 The McGraw-Hill Companies. All rights reserved. Any use is subject to the Terms of Use as given at the website.
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