<jupyter_start><jupyter_text>Determine Shear Resistance of 3/4" SAE J429 Grade 8 Bolt at Joint 1  Per CSA S157-05 (R2015) Strength Design in AluminumCase: Grade 8 3/4" Bolt with threads excluded from joint<jupyter_code>from pint import UnitRegistry
unit = UnitRegistry()
# Define symbols for common units
m = unit.meter; mm = unit.millimeter; inch = unit.inch;
kN = unit.kilonewton; MPa = unit.megapascal; psi = unit.psi
# Case parameters
m = 2 # number of shear planes
A = 285*mm**2 # Nominal Area of 3/4" Bolt
# From Handbook of Steel Construction, 11th Edition, Table 3-2 on page 3-6

# Mechanical Specifications for SAE J429 Grade 8
F_u = 150000*psi # minimum Tensile Strength
F_y = 130000*psi # minimum Yield Strength

# Resistance Factors CSA S157-05 (R2015) 5.5
phi_y = 0.9 # tension, compression, and shear in beams: on yield
phi_c = 0.9 # compression in columns: on collapse due to buckling
phi_u = 0.75 # tension and shear in beams: on ultimate
phi_u = 0.75 # tension on a net section, bearing stress, tear-out: on ultimate
phi_u = 0.75 # tension and compression on butt welds: on ultimate
phi_f = 0.67 # shear stress on fillet welds: on ultimate
phi_f = 0.67 # tension and shear stress on fasteners: on ultimate
V_r = phi_f*0.6*m*A*F_u
V_r.ito(kN)
print('Design Shear Resistance, V_r =', round(V_r.magnitude, 1), V_r.units)<jupyter_output>Design Shear Resistance, V_r = 237.0 kilonewton
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