E MCH 213 Strength of Materials Equation Sheet
Law of Sines & Cosines
sin ˛
ADsin ˇ
BDsin
C
A2DB2CC22BC cos ˛
B2DC2CA22CA cos ˇ
C2DA2CB22AB cos
Stress
DN
AIDV
A
Factor of Safety
F.S. DFfail
Fallow
Strain
DL0L
L
Deformed element
Torsion
Torsion Formula: DT
JImax DT c
J
Polar Moment of Inertia
JD
2c4(solid shaft)
JD
2c4
oc4
i(tubular shaft)
Power Transmission
PDT!IPD2f T I1hp D550 ftlb=s
Angle of Twist
DZL
0
T .x/
J.x/G.x/ dxIDT L
J G IDXTL
J G