UNIT – II
ENERGY THEOREMS: INTRODUCTION-STRAIN ENERGY IN
LINEAR ELASTIC SYSTEM, EXPRESSION OF STRAIN
ENERGY DUE TO AXIAL LOAD, BENDING MOMENT AND
SHEAR FORCES – CASTIGLIANO’S FIRST THEOREM-UNIT
LOAD METHOD. DEFLECTIONS OF SIMPLE
BEAMS AND PIN- JOINTED PLANE TRUSSES.
DEFLECTIONS OF STATICALLY DETERMINATE
BENT FRAMES. THREE HINGED ARCHES – INTRODUCTION
– TYPES OF ARCHES – COMPARISION
BETWEEN THREE HINGED AND TWO HINGED ARCHES.
LINEAR ARCH. EDDY’S THEOREM.
ANALYSIS OF THREE HINGED ARCHES. NORMAL THRUST
AND RADIAL SHEAR IN AN ARCH.
GEOMETRICAL PROPERTIES OF PARABOLIC AND
CIRCULAR ARCH. THREE HINGED CIRCULAR
ARCH AT DIFFERENT LEVELS. ABSOLUTE MAXIMUM
BENDING MOMENT DIAGRAM FOR A
THREE HINGED ARCH.