Study of the stress and deflection of structural and machine components.
Required to ensure a safe design.
Critical in design and selection of machine components.
2 Material Properties Tensile Test 3 Material Properties Shear Properties Axial Strain Lateral Strain Poissons ratio Modulus of Elasticity in Shear (G) stiffness of a material in shear 4 Example
Select a ductile steel that will not permanently deform at a stress level of
Also determine its modulus of elasticity in shear.
5 Axial Loading
E Modulus of Elasticity
A Cross-sectional Area
Compute the stress in the middle portion of the horizontal rod.
7 Direct Shear Loading
A Cross-sectional Area
Compute the stress in the bottom support pin.
Shafts are used to transmit rotary motion and torque.
Formula for common U.S. units
n shaft speed (rpm)
T torque (in lbs)
P power (hp)
10 Torsional Loading Round Member
Compute the torsional shear stress in a circular shaft having a diameter of 1.25 in. The shaft is transmitting 110 hp at a speed of 560 rpm.
FD 12 Torsional Loading Non-Circular Member T
13 Bending Loads
(based on load case)
14 Section Properties
Moment of Inertia (I)
complex shapes can be built from composite sections
Section Modulus (SI/c)
used when solving for shape
Select an aluminum I-Beam to carry the load shown with a maximum stress of 12000 psi.
Also calculate the deflection at the 400 lb load.
Calculate the bending stress at the top of the shaft at point B
17 Stress Concentrations
Geometric discontinuities cause increased stress levels
Compensated with a stress concentration factor.
smax Kt snom
Kt is charted based on geometry and load case
For the flat plate in tension compute the stress at each hole.
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