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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.

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

Resistance to tearing between outer row of rivets:

R_to = ( P - D) t S_t

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

R_s = (9 π d² S_s) / 4

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

R_tio = ( P - 2 D) t S_t + ( π d² S_s) / 4

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

R_c = 4 d t S_c + ( π d² S_s) / 4

Resistance to crushing in front of five rivets:

R_tr = 4 D t S_c + d t_c S_c

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

L = n A_r S_s

The safe tensile load L based on bearing stress:

L = n A_b S_c

The safe load L based on the tensile stress:

L = A_p S_t

Efficiency of Design

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

Where:

R_to = Resistance to tearing between outer row of rivets (lbs)
R_tio = Resistance to tearing at middle row of rivets and shearing one rivet)
R_s = Resistance to shearing four rivets in double shear and one in single shear (lbs)
R_c = Resistance to crushing in front of four rivets and shearing one rivet (lbs)
R_tr = 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)
t_c = thickness of cover plates (in)
p = pitch of inner row of rivets (in)
P = pitch of outer row of rivets (in)
S_s = shear stress for rivets (lbs/in²)
S_t = tensile stress for plates (lbs/in²)
S_c = compressive or bearing stress for rivets or plates (lbs/in²)

Related:

• Sheet Metal Gauge Size Chart
• Design of Bolted and Riveted Joints
• Rivet Application Tables and Installation
• Button Head Solid Rivet Size Table
• Acorn High Button Head Rivet
• Cone Head Rivet Size Chart
• Flat Countersunk Head Rivet
• Oval Countersunk Head Rivet

Reference Machinery Handbook, 23rd Edition