MECHANICAL PROPERTIES OF SOLIDS Flashcards
UNIT OF STRESS
Pa OR N/m^2
STRESS
FORCE/AREA
LONGITUDINAL STRAIN
dL/L
SHEARING STRAIN
REL DISPLACEMENT/LENGTH= TAN @~@
HYDRAULIC STRAIN
dV/V
ELASTIC LIMIT
WITHIN WHICH A BODY REGAINS ITS ORIGINAL CONFIGURATION AFTER REMOVAL OF EXTERNAL FORCE
PROPORTIONAL LIMIT
WITHIN WHICH HOOKE’S LAW IS APPLICABLE
HOOKE’S LAW
WITHIN PROPORTIONAL LIMIT STRESS DIRECTLY PROPORTIONAL TO STRAIN
SLOPE OF STRESS STRAIN GRAPH
MODULUS OF ELASTICITY
Y
FL/AdL
dL OF UNIFORM WIRE DUE TO ITS OWN WEIGHT
Rho L^2g/2Y
dL OF NON UNIFORM CONICAL CIRCULAR SECTION
FL/Y PI (R1R2)
ANALOGY OF WIRE AS SPRING, K =
YA/L
Ys
2Y1Y2/Y1+Y2
Yp
Y1+Y2/2
STRESS ON OBLIQUE SECTION
TENSILE= FCOS^2@/A
SHEAR= FSIN2@/2A
ELASTIC POTENTIAL ENERGY STORED IN A WIRE
YAl^2/2L= 1/2 F l =1/2 STRESS STRAIN VOLUME
ENERGY DENSITY OF A WIRE
1/2 STRESS STRAIN
ELASTIC PE OF WIRE DUE TO ITS OWN WEIGHT
(Rho g)^2 A l^3/6Y
BREAKING STRESS
BREAKING FORCE /AREA
SHEAR STRESS
G dX/ L
dP
-B dV/V
COMPRESSABILITY
1/B
POISSON’S RATIO
LATERAL STRAIN /LONGITUDINAL STRAIN = -dR/R/dL/L
RELATION BETWEEN Y AND SHEAR MOD AND POISSON’S RATIO
Y= 2G(1 + P)
RELATION BETWEEN Y , B AND P
Y=3B(1- 2P)
RELATION BETWEEN Y, G AND B
y= 9GB/3B +G
RELATION BETWEEN P, B AND G
P= 3B-2G/6B+2G
DEPRESSION
WL^3/4YBD^3