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### Triple-Riveted Butt Joint Plate Formulas and Calculator for Stress and Strength Design.

Applications and Design
Stress, Deflections and Structural Analysis

Triple-Riveted Butt Joint Plate Formulas and Calculator for Stress and Strength Design. Preview

Resistance to tearing between outer row of rivets:

Rto = ( P - D) t St

Resistance to shearing four rivets in double shear and one in single shear:

Rs = (9 π d2 Ss) / 4

Resistance to tearing at middle row of rivets and shearing one rivet:

Rtio = ( P - 2 D) t St + ( π d2 Ss) / 4

Resistance to crushing in front of four rivets and shearing one rivet:

Rc = 4 d t Sc + ( π d2 Ss) / 4

Resistance to crushing in front of five rivets:

Rtr = 4 D t Sc + d tc Sc

The safe tensile load L based on single shear of the rivets:

L = n Ar Ss

The safe tensile load L based on bearing stress:

L = n Ab Sc

The safe load L based on the tensile stress:

L = Ap St

Efficiency of Design

η = [(safe tensile load L based on single shear of the rivets) / ( l t St) ] 100

Where:

Rto = Resistance to tearing between outer row of rivets (lbs)
Rtio = Resistance to tearing at middle row of rivets and shearing one rivet)
Rs = Resistance to shearing four rivets in double shear and one in single shear (lbs)
Rc = Resistance to crushing in front of four rivets and shearing one rivet (lbs)
Rtr = Resistance to tearing at inner row of rivets, and crushing in front of one rivet in outer row (lbs)
L = Safe Tensile Load (lbs)
η = Strength of Joint / Strength of Un-riveted plate (%)
d = diameter of holes (in)
t = thickness of plate (in)
D = Diameter of the rivet (in)
tc = thickness of cover plates (in)
p = pitch of inner row of rivets (in)
P = pitch of outer row of rivets (in)
Ss = shear stress for rivets (lbs/in2)
St = tensile stress for plates (lbs/in2)
Sc = compressive or bearing stress for rivets or plates (lbs/in2)

Related:

Reference Machinery Handbook, 23rd Edition 