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A comprehensive overview of engineering mechanics, covering fundamental concepts, types of forces and stresses, material properties, and structural elements. It delves into the behavior of rigid bodies under load, exploring statics and dynamics. The document also examines different types of loads, foundations, retaining walls, and columns, providing a solid foundation for understanding structural engineering principles.
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ENGINEERING MECHANICS - a branch of science that deals with the behavior of a rigid body when the body is at rest or in motion RIGID BODY - a body that does not deform under load
EQUILIBRIUM - state in which the resultant of the force system that acts on a body is zero CENTROID - the geometric center of all the points on an object CENTER OF GRAVITY - the point where the total weight of the body acts STRENGTH OF MATERIALS - study of the internal effects of external forces applied to a body STRESS - measurement of the amount of force held within an object internal response of an object to an external pressure resisting force per unit area PASCAL - unit of pressure, stress,& strength PRESSURE (PA) = force (n) / area (m2) PRESSURE (KPA) = force (kn) / area (m2) PRESSURE (MPA) = force (n) / area (mm2) TYPES OF FORCES & STRESS
1. AXIAL FORCE - forces along the longitudinal axis (or length) of the material - COMPRESSION - shortening or pushing together - TENSION - stretching or pushing apart 2. AXIAL STRESS - stress developed to resist axial force 3. TRANSVERSE FORCE - forces perpendicular to the longitudinal axis of a member 4. NORMALSTRESS - stress acting perpendicular to the area ofcontact 5. SHEAR STRESS - stress acting parallel to the area 6. SHEAR FORCE - forces perpendicular to an area, in opposition to a force acting in the opposite direction 7. BENDING STRESS (FLEXURAL STRESS) - forces producing both tension and compression on the cross-section of the body
TEMPERATURE EFFECT - effect of temperature on the material:
1. SHALLOW FOUNDATION - close to the base of the substructure - SPREAD FOOTING - takes concentrated load from above and spreads it across an areas large enough that can withstand it - MAT/RAFT FOOTING - used where the bearing capacity of the soil is low in relation to the building loads 2. DEEP FOUNDATION - extends downward to reach more stable soil or rock deeper within the earth CAISSON (DRILLED PIER) - 2’ to 12’ in diameter drilling through strata then filling it with concrete END-BEARING PILE - driven until its tip encounters firm resistance from a suitable bearing stratum FRICTION PILE - does not reach any firm bearing layer PILE CAP - rc slab joining the heads of the piles and distributes the load among the piles UNDERPINNING - strengthening and/or stabilizing an existing foundation
BEAM - a rigid horizontal structural member designed to carry and transfer transverse loads across space to supporting elements BEAM SUPPORT TYPES
1. ROLLER - one reaction allows lateral movement (expansion and contraction) 2. PINNED - two reactions restrains translation allows (moment) 3. FIXED (RIGID) - three reactions restrains translation and rotation (moment) DETERMINATE - if the equations of equilibrium are sufficient to analyze a structure r = 3 INDETERMINATE - if the equations of equilibrium are not sufficient to analyze a structure r > 3 DEGREE = r- 3 TYPES OF BEAMS 1. SIMPLE - rests on simple supports at both ends 2. CANTILEVER - projecting beam supported only at one fixed end 3. OVERHANGING - beam extending beyond one of its supports 4. PROPPED - a beam fixed at one end and the other end placed on a roller support 5. FIXED/RESTRAINED - fixed at both ends 6. CONTINUOUS BEAM - extending over more than two supports ELASTIC CURVE - deformation of a beam expressed in terms of its deflection from its original unloaded position
SHEAR DIAGRAM - graphic representation of the variation in magnitude of the external shears present in a structure MOMENT DIAGRAM - graphic representation of the variation in magnitude of the bending moment present in a structure INFLECTION POINT - a point of zero moment the point at which a structure changes curvature as it deflects CAMBER - slight convex curvature intentionally built to compensate for an anticipated deflection ANALYSIS: BALANCED SECTION - stresses in concrete & steel reach permissible value at same time concrete and steel theoretically fail at the same time OVER REINFORCED SECTION - concrete is crushed before steel yields sudden failure without warning UNDER REINFORCED SECTION - steel yields first causing the beam to deflect prior to failure REINFORCEMENT: SLAB - a rigid, flat structural element constructed to create flat and useful surfaces such as floors, roofs and ceilings TYPES OF SLAB
1. ONE-WAY - supported by beams on 2 opposite sides to carry the load along one direction longer span (l) / shorter span (b) ≥ 2 - BANDED SLAB - reduces the span between the bands = reduced thickness for the slab bands have smaller depth than beams = more clear height / reduced storey height - RIBBED SLAB - reinforcements are concentrated in spaced ribs or joists to make the slab thinner and lighter - WIDE-MODULE / SKIP JOIST - thicker slabs that can span greater spans **4’ to 6’ apart
CONTROL JOINTS - purposely created lines along of weakness which cracking will occur as a surface of brittle material shrinks (contraction)