IDENTIFICATION Flashcards
the force equilibrium equation is sufficient to fin the support reactions
STATICALLY DETERMINATE STRUCTURE
is to develop a simple model of the structure which is statically determinate to solve a statically determinate problem
APPROXIMATE ANALYSIS
is an approximate analysis used for analysing building frames subjected to lateral loadings
PORTAL METHOD
zero moment location for mechanically loaded structures
POINT OF INFLECTION
equal in magnitude but opposite in direction to the algebraic sum (resultant) of the components in the direction parallel to the axis of the beam of all external loads and support reactions acting on either side of the section being considered
INTERNAL AXIAL FORCE
equal in magnitude but opposite in direction to the algebraic sum (resultant) of the components in the direction perpendicular to the axis of the beam of all external loads and support reactions acting on either side of the section being considered
INTERNAL SHEAR FORCE
equal in magnitude but opposite in direction to the algebraic sum of the moments about (the centroid of the cross section of the beam) the section of all external loads and support reactions acting on either side of the section being considered
INTERNAL BENDING MOMENT
a positive bending moment bends a beam concave upward, and a negative bending moment bends a beam concave downward
TRUE
subjected to a live or moving load, the variation of the shear and bending moment in the member
INFLUENCE LINE
represents the variation of either the reaction, shear, moment, or deflection at a specific point in a member as a concentrated force moves over the member
INFLUENCE LINE
PROCEDURES OF ANALYSIS IN INFLUENCE LINES
- DETERMINE THE UNIT LOAD AT X LOCATION
- SOLVE FOR REACTIONS/SHEAR/MOMENT
- DETERMINE THE INFLUENCE LINE EQUATIONS
- TABULATE DATA
- PLOT THE GRAPH
F acting on the beam, the value of the function can be found by multiplying the ordinate of the influence line at position x by magnitude F
CONCENTRATED FORCE
Each dx segment of this load creates a concentrated force of dF = w dx
The effect of all concentrated force is determined by integrating over the entire length of the beam
UNIFORM LOAD
the influence line for a function (reaction, shear, or moment) is to the same scale as the deflected shape of the beam when the beam is acted upon by the function
MULLER-BRESLAU PRINCIPLE