Theory of Structures |
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Page 54
... constant ) d2y W ( 1 - x ) then dx2 ΕΙ dy - i , - W / ( 1 - x ) dx + C dx = = ix W ΕΙ C is a constant of integration . when x = 0 , EI lx - +0 ( 9a ) 2 dy ― 0 , C = 0 dx ( 10 ) At xl , i , is a maximum lx = W12 2EI W / ( x - 2 ) dx + C2 ...
... constant ) d2y W ( 1 - x ) then dx2 ΕΙ dy - i , - W / ( 1 - x ) dx + C dx = = ix W ΕΙ C is a constant of integration . when x = 0 , EI lx - +0 ( 9a ) 2 dy ― 0 , C = 0 dx ( 10 ) At xl , i , is a maximum lx = W12 2EI W / ( x - 2 ) dx + C2 ...
Page 139
... constant depending on the fixity of the ends A = k = = 1 for pin ends , = 4 for fixed ends , = for 1 fixed and 1 free end ; cross - sectional area , radius of gyration . For a constant cross - sectional area of strut , P ( 1 ) 2 = constant ...
... constant depending on the fixity of the ends A = k = = 1 for pin ends , = 4 for fixed ends , = for 1 fixed and 1 free end ; cross - sectional area , radius of gyration . For a constant cross - sectional area of strut , P ( 1 ) 2 = constant ...
Page 227
... constant ; but both x and a are variables : therefore , Mm is a maximum when xa is a maximum . Also for the given set of loads , as c and I are constant , then ( c ) = ( x + a ) is a constant , i.e. x + a = K .. a = K Let z = ax = x ( K ...
... constant ; but both x and a are variables : therefore , Mm is a maximum when xa is a maximum . Also for the given set of loads , as c and I are constant , then ( c ) = ( x + a ) is a constant , i.e. x + a = K .. a = K Let z = ax = x ( K ...
Contents
CHAPTER | 1 |
Relation between load shear force and moment | 19 |
Stress kinds of StrainLimit of proportionality Youngs | 41 |
Copyright | |
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angle bending bending moment cable cantilever centre centroid column compressive stress concentrated load couple cross-section curve dead load deflection direction displacement distance distributed load elastic equal equation fixed flange foot run frame girder h₁ hinged Illustrative Problem Imax inertia influence diagram influence line joint k₁ length linear arch live load maximum negative maximum shear method modulus moment of inertia moments neutral axis ordinate P₁ plane plastic hinge pre-stress principal stresses R₁ reaction redundant resultant rotation shear diagram shear force shear stress simple beam simply supported slope span square inch statically indeterminate steel Strength of Materials structure strut T₁ tangent tensile stress tension tons per square tons-ft tons/sq truss uniformly-distributed load unit influence unit load vertical W₁ x₁ y₁ zero ΕΙ