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Mechanics of Materials 9th Edition BY RUSSELL C Hibbeler with questions and answers(2025)
Typology: Exercises
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"Shear Modulus of Elasticity (Modulus of Rigidity) - CORRECT ANSWER 1. A large shear modulus value indicates a solid is highly rigid. In other words, a large force is required to produce deformation.
"Deformation - CORRECT ANSWER The changes to a body's shape and size due to an applied force." "Normal Strain - CORRECT ANSWER The change in length of a line per unit length." "Shear Strain - CORRECT ANSWER The change in angle that occurs between two perpendicular line segments." "Chapter 3: Mechanical Properties of Materials - CORRECT ANSWER Chapter 3: Mechanical Properties of Materials" "Extensometer - CORRECT ANSWER An instrument to measure change in length of a tensile specimen, thus allowing calculation of strain." "Electrical-Resistance Strain Gauge - CORRECT ANSWER A resistance element which changes resistance when subject to strain." "Stress-Strain Diagram - CORRECT ANSWER A graphic representation of the relationship between unit stress values and the corresponding unit strains for a specific material." "Nominal or Engineering Stress - CORRECT ANSWER Applied Load divided by the Original Cross-Sectional Area. This calculation assumes that the stress is constant over the cross section and throughout the gauge length." "Nominal or Engineering Strain - CORRECT ANSWER Specimen's new gauge length divided by the Original gauge length." "Convention Stress-Strain Diagram - CORRECT ANSWER When the vertical axis is Stress and the horizontal axis is Strain." "Elastic Behavior - CORRECT ANSWER returns to original shape" "Yielding - CORRECT ANSWER A slight increase in stress above the elastic limit will result in a breakdown of the material and cause it to deform permanently." "Yield Stress or Yield Point - CORRECT ANSWER The stress that causes yielding." "Plastic Deformation - CORRECT ANSWER The deformation that occurs during yielding." "Perfectly Plastic - CORRECT ANSWER Property of a material to undergo irreversible deformation without any increase in stresses or loads."
"Strain-Energy Density - CORRECT ANSWER strain energy per unit volume of material" "Prismatic - CORRECT ANSWER When all cross sections are the same throughout its length." "Homogeneous Material - CORRECT ANSWER A material that has the same physical and mechanical properties throughout its volume." "Isotropic Material - CORRECT ANSWER A material the has these same homogenous properties in all directions." "Axial or Normal Force Diagram - CORRECT ANSWER A plot of the normal force versus its position along the bar's length." "Complementary Property of Shear - CORRECT ANSWER All four shear stresses must have equal magnitude and be directed either toward or away from each other at opposite edges of the element" "Pure Shear - CORRECT ANSWER When a material is under the conditions of the Complementary Property of Shear." "Factor of Safety - CORRECT ANSWER Ratio of failure load to the allowable load." "Allowable Stress Design - CORRECT ANSWER An unique design practice that is adopted by civil engineers while they work on their building projects. It is a practice which entails the designer ensuring that the stresses imposed on the structures owing to the service load don't exceed the elastic limit." "Limit State Design/Load and Resistance Factor Design - CORRECT ANSWER A degree of loading or other actions imposed on a structure can result in a 'limit state', where the structure's condition no longer fulfills its design criteria, such as; fitness for use, structural integrity, durability, and so on. Limit states are conditions of potential failure. All actions likely to occur during a structure's design life are considered during the LSD method, to ensure that the structure remains fit for use with appropriate levels of reliability. LSD involves estimating the subjected loads on a structure, choosing the sizes of members to check, and selecting the appropriate design criteria. LSD requires two principal criteria to be satisfied: the ultimate limit state (ULS) and the serviceability limit state (SLS)." "Dead loads (DL) - CORRECT ANSWER Fixed weight of structure itself and equipment"
"Modulus of Resilience - CORRECT ANSWER Represents the largest amount of internal strain energy per unit volume the material can absorb without causing any permanent damage to the material." "Modulus of Toughness (UT) - CORRECT ANSWER Indicates the maximum amount of strain-energy the material can absorb just before it fractures" "Poisson's Ratio - CORRECT ANSWER For elastic deformation, the negative ratio of lateral and axial strains that result from an applied axial stress." "Saint-Venant's Principle - CORRECT ANSWER The stress and strain produced at points in a body sufficiently removed from the region of load application will be the same as the stress and strain produced by any applied loadings that have the same statically equivalent resultant, and are applied to the body within the same region." "Principle of Superposition - CORRECT ANSWER The resultant stress or displacement at the point can be determined by algebraically summing the stress or displacement caused by each load component applied separately to the member." "Statically Indeterminate - CORRECT ANSWER When the equilibrium equation(s) are not sufficient to determine the two reactions on the bar." "Compatibility/Kinematic Condition - CORRECT ANSWER An equation that specifies the conditions for displacement" "Load-Displacement Relationship - CORRECT ANSWER When a Compatibility/Kinematic Condition is express in terms of the applied loads." "Flexibility or Force Method of Analysis - CORRECT ANSWER Solving statically indeterminate problems by writing the compatibility equation using the principle of superposition." "Linear Coefficient of Thermal Expansion - CORRECT ANSWER A material property that is indicative of the extent to which a material expands upon heating." "Thermal Stress - CORRECT ANSWER The stress induced as a result of restrained deformations due to changes in temperature." "Stress-Concentration Factor - CORRECT ANSWER The ratio of the maximum stress to the applied stress"
"Chapter 6: Bending - CORRECT ANSWER Chapter 6: Bending" "Beams - CORRECT ANSWER Members that are slender and support loadings that are applied perpendicular to their longitudinal axis." "Shear and Moment Diagrams - CORRECT ANSWER If the variation of V and M are written as functions of position, x, and plotted, the resulting graphs are called the shear diagram and the moment diagram." "Neutral Surface - CORRECT ANSWER In which longitudinal fibers of the material will not undergo a change in length" "Flexure Formula - CORRECT ANSWER It is used to determine the normal stress in a straight member, having a cross section that is symmetrical with respect to an axis, and the moment is applied perpendicular to this axis." "Allotropes - CORRECT ANSWER " " Bending Moment - CORRECT ANSWER The bending moment is caused by the external loads that tend to bend the body about an axis lying within the plane of the area." "Chapter 5: Torsion - CORRECT ANSWER Chapter 5: Torsion" "Torque - CORRECT ANSWER A moment that tends to twist a member about its longitudinal axis." "Polar Moment of Inertia - CORRECT ANSWER A quantity used to describe resistance to torsional deformation (deflection), in cylindrical objects (or segments of cylindrical object) with an invariant cross-section and no significant warping or out-of-plane deformation." "Annulus - CORRECT ANSWER An annulus is a flat shape like a ring. Its edges are two circles that have the same center." "Torque Diagram - CORRECT ANSWER Much like a shear or moment diagram but for torsion." "Angle of Twist - CORRECT ANSWER For a shaft under torsional loading, the angle through which fixed end of a shaft rotates with respect to the free end" "Power - CORRECT ANSWER This is defined as the work performed per unit of time." "Chapter 1: Stress - CORRECT ANSWER Chapter 1: Stress"
"External Loads - CORRECT ANSWER A body is subjected to only two types of external loads; namely,