Machinery's Handbook, 31st Edition
222
Combined Stresses (11) Offset Link, Circular Cross Section, in Direct Tension: Type of Beam and Loading Maximum Nominal Tensile or Compressive Stress
Maximum Nominal Shear Stress
a
e
. d e 1273 1 8 d F 2 − a . d e 1273 1 8 d F 2 + a
0.5 a τ ′ = σ′ a
k
a σ = ′
F
F
b
k
d
σ = ′
0.5 b τ ′ = σ ′ b
b
(12) Offset Link, Circular Cross Section, in Direct Compression: Type of Beam and Loading Maximum Nominal Tensile or Compressive Stress
Maximum Nominal Shear Stress
a
. d e 1273 8 1 d F 2 − a
e
0.5 a a τ ′ = σ ′
k
a σ ′ =
F
F
b
. d e 1273 8 1 d F 2 + a
k
0.5 b τ ′ = σ′ b
σ′ = −
d
b
(13) Offset Link, Rectangular Section, in Direct Tension: Type of Beam and Loading Maximum Nominal Tensile or Compressive Stress
Maximum Nominal Shear Stress
a
e
bh F bh F
h e 1 6 − a k
0.5 a τ ′ = σ ′ a
a σ ′ =
F
F
b
h
h e 1 6 b σ ′ = + a k
0.5 b τ ′ = σ ′ b
b
(14) Offset Link, Rectangular Section, in Direct Compression: Type of Beam and Loading Maximum Nominal Tensile or Compressive Stress
Maximum Nominal Shear Stress
a
e
h e 6 1 −
bh F
0.5 a τ ′ = σ′ a
a
k
a σ ′ =
F
F
b
h e 6 1 +
h
bh F
a
k
b σ′ =−
0.5 b τ ′ = σ ′ b
b
Formulas from the simple and combined stress tables, as well as tension and shear factors, can be applied without change in calculations using metric SI units. Stresses are given in N/m 2 or in N/mm 2 . Three-Dimensional Stress.— Three-dimensional or triaxial stress occurs in assemblies such as a shaft press-fitted into a gear bore, or in pipes and cylinders subjected to internal or external fluid pressure. Triaxial stress also occurs in two-dimensional stress problems if the loads produce normal stresses that are either both tensile or both compressive. In either case the calculated maximum shear stress, based on the corresponding two-dimen- sional theory, will be less than the true maximum value because of three-dimensional effects.
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