(Statics MCQs Aeronautical Engineering

The sum of all forces acting on a body in static equilibrium is: a) Equal to zero b) Equal to the weight of the body c) Equal to the velocity of the body d) Equal to the acceleration of the body Answer: a) Equal to zero The moment of a force about a point is calculated as: a) Force × Distance from the point b) Force ÷ Distance from the point c) Force + Distance from the point d) Force – Distance from the point Answer: a) Force × Distance from the point Which of the following is true for a body in static equilibrium? a) The sum of all moments about any point is zero. b) The body must be in motion. c) The sum of all forces must be non-zero. d) The body must be accelerating. Answer: a) The sum of all moments about any point is zero. In a truss structure, the members are typically assumed to be: a) Either in tension or compression b) Subject to bending c) Fixed at both ends d) Connected at multiple points Answer: a) Either in tension or compression The reaction forces at the supports of a simply supported beam are: a) Vertical forces only b) Horizontal forces only c) Both vertical and horizontal forces d) Only moments Answer: a) Vertical forces only The centroid of a uniform beam is located at: a) The midpoint of its length b) The end of the beam c) The quarter length of the beam d) At the point of maximum loading Answer: a) The midpoint of its length Which principle is used to determine the internal forces in a truss? a) The principle of superposition b) The principle of moments c) The principle of work and energy d) The principle of virtual work Answer: b) The principle of moments In a static system, the internal forces are determined by: a) The equilibrium of the external forces b) The weight of the system c) The velocity of the system d) The temperature of the system Answer: a) The equilibrium of the external forces For a system to be in static equilibrium, the following conditions must be satisfied: a) The sum of all horizontal forces must be zero. b) The sum of all vertical forces must be zero. c) The sum of all moments about any point must be zero. d) All of the above Answer: d) All of the above The term “reaction” in statics refers to: a) The forces exerted by supports or connections b) The weight of the body c) The velocity of the body d) The acceleration of the body Answer: a) The forces exerted by supports or connections In a cantilever beam with a concentrated load at the free end, the maximum bending moment occurs at: a) The fixed end of the beam b) The midpoint of the beam c) The free end of the beam d) One-quarter length from the fixed end Answer: a) The fixed end of the beam The method of joints is used in truss analysis to determine: a) The forces in individual truss members b) The maximum load a truss can carry c) The total deflection of the truss d) The material properties of the truss Answer: a) The forces in individual truss members The principle of superposition is applicable in: a) Analyzing combined effects of multiple loads b) Determining the centroid of an area c) Calculating the moment of inertia d) Determining the material properties of a beam Answer: a) Analyzing combined effects of multiple loads In a simply supported beam subjected to a uniform load, the shear force is: a) Maximum at the supports b) Zero at the midpoint c) Uniform along the length d) Maximum at the midpoint Answer: a) Maximum at the supports In the method of sections, to find the internal forces in a truss, you: a) Cut the truss and analyze one of the resulting sections b) Analyze the entire truss without cutting c) Use the principle of virtual work d) Calculate the total deflection of the truss Answer: a) Cut the truss and analyze one of the resulting sections The static determinacy of a structure is defined as: a) The ability to determine all internal forces using static equilibrium equations b) The strength of the material used in the structure c) The stability of the structure under load d) The ability to resist external forces Answer: a) The ability to determine all internal forces using static equilibrium equations In a plane truss, if the number of members (m) and the number of joints (j) satisfy the condition 𝑚 = 2 𝑗 − 3 m=2j−3, the truss is: a) Statistically determinate b) Statistically indeterminate c) Over-constrained d) Under-constrained Answer: a) Statistically determinate The term “bending moment” refers to: a) The moment caused by forces acting perpendicular to the length of a beam b) The moment caused by forces acting parallel to the length of a beam c) The twisting force applied to a beam d) The vertical load applied to a beam Answer: a) The moment caused by forces acting perpendicular to the length of a beam The shear force in a beam is defined as: a) The internal force that acts parallel to the cross-section of the beam b) The force that causes bending in the beam c) The weight of the beam d) The moment applied at the ends of the beam Answer: a) The internal force that acts parallel to the cross-section of the beam The principle of moments states that: a) The sum of all moments about any point must be zero b) The sum of all forces must be equal to the weight of the object c) The sum of all forces must be zero d) The total displacement of the object must be zero Answer: a) The sum of all moments about any point must be zero When a beam is subjected to a concentrated load at its midpoint, the shear force is: a) Constant along the length of the beam b) Maximum at the midpoint c) Zero at the midpoint d) Minimum at the midpoint Answer: a) Constant along the length of the beam The term “static indeterminacy” refers to: a) The degree to which a structure’s internal forces cannot be determined by static equilibrium alone b) The ability of a structure to resist external forces c) The stability of a structure under load d) The strength of the material used in the structure Answer: a) The degree to which a structure’s internal forces cannot be determined by static equilibrium alone The “moment of inertia” of a beam cross-section is a measure of: a) The beam’s resistance to bending b) The beam’s resistance to shear forces c) The beam’s weight d) The beam’s resistance to axial loads Answer: a) The beam’s resistance to bending In the analysis of a beam, the term “deflection” refers to: a) The vertical displacement of the beam under load b) The bending moment at a point c) The shear force in the beam d) The axial force in the beam Answer: a) The vertical displacement of the beam under load A structure is considered statically determinate if: a) The number of unknowns is equal to the number of equilibrium equations b) The number of unknowns exceeds the number of equilibrium equations c) The structure is stable under all loads d) The structure is indeterminate Answer: a) The number of unknowns is equal to the number of equilibrium equations In a simply supported beam with a uniformly distributed load, the maximum bending moment occurs: a) At the center of the beam b) At the supports of the beam c) At one-quarter of the beam length from the supports d) At the free end of the beam Answer: a) At the center of the beam The term “truss” refers to: a) A framework consisting of triangular units b) A single beam subjected to loads c) A column supporting a structure d) A type of load-bearing wall Answer: a) A framework consisting of triangular units The “static equilibrium” of a body is achieved when: a) The sum of all forces and moments acting on the body is zero b) The body is moving at constant velocity c) The body is in free fall d) The body is rotating at a constant angular velocity Answer: a) The sum of all forces and moments acting on the body is zero A simply supported beam with a point load at one end will experience: a) Maximum shear force at the point of application of the load b) Zero shear force at the point of application of the load c) Maximum bending moment at the point of application of the load d) Minimum bending moment at the point of application of the load Answer: a) Maximum shear force at the point of application of the load The method of sections in truss analysis involves: a) Cutting the truss into sections and analyzing the forces in each section b) Analyzing the entire truss without cutting c) Using virtual work principles to find internal forces d) Calculating the deflection of the truss under load Answer: a) Cutting the truss into sections and analyzing the forces in each section In the method of joints, to determine the force in a member, you: a) Resolve forces at each joint into equilibrium b) Analyze the entire truss structure c) Calculate the bending moment at each joint d) Measure the deflection of the members Answer: a) Resolve forces at each joint into equilibrium The “static determinacy” of a beam is determined by: a) The number of supports and loading conditions b) The material properties of the beam c) The length of the beam d) The temperature of the beam Answer: a) The number of supports and loading conditions In a cantilever beam, the shear force is: a) Maximum at the fixed end and zero at the free end b) Zero at the fixed end and maximum at the free end c) Uniform along the length of the beam d) Maximum at the midpoint Answer: a) Maximum at the fixed end and zero at the free end A “fixed support” in a beam provides: a) Both vertical and horizontal reactions, as well as a moment reaction b) Only vertical reaction c) Only horizontal reaction d) Only a moment reaction Answer: a) Both vertical and horizontal reactions, as well as a moment reaction The “shear force diagram” for a simply supported beam with a point load shows: a) A discontinuity at the location of the point load b) A continuous linear variation c) A sinusoidal variation d) A parabolic variation Answer: a) A discontinuity at the location of the point load In a truss, the “zero-force member” is a member that: a) Does not carry any load under specific loading conditions b) Carries the maximum load c) Is always in compression d) Is always in tension Answer: a) Does not carry any load under specific loading conditions The “bending stress” in a beam is proportional to: a) The bending moment and inversely proportional to the moment of inertia b) The shear force c) The axial load d) The temperature of the beam Answer: a) The bending moment and inversely proportional to the moment of inertia The “moment distribution method” is used for analyzing: a) Indeterminate beams and frames b) Simple beams c) Trusses d) Cables Answer: a) Indeterminate beams and frames In a simply supported beam subjected to a uniform load, the shear force at the midpoint is: a) Zero b) Maximum c) Minimum d) Equal to the total load divided by the length Answer: d) Equal to the total load divided by the length The “elasticity” of a material is a measure of: a) Its ability to return to its original shape after deformation b) Its resistance to shear forces c) Its weight d) Its thermal conductivity Answer: a) Its ability to return to its original shape after deformation The “support reactions” for a simply supported beam can be determined using: a) The equilibrium equations for forces and moments b) The deformation analysis c) The temperature changes d) The material properties Answer: a) The equilibrium equations for forces and moments The “deflection” of a beam due to a concentrated load is: a) Maximum at the point of load application b) Zero at the point of load application c) Uniform along the length of the beam d) Minimum at the point of load application Answer: a) Maximum at the point of load application In a truss, the “method of sections” is used to: a) Analyze the internal forces in specific members b) Determine the overall stability of the truss c) Calculate the deflection of the truss d) Determine the material properties Answer: a) Analyze the internal forces in specific members The “principle of virtual work” is used to: a) Analyze the deformation of structures under loads b) Calculate the shear force in a beam c) Determine the bending moment in a beam d) Find the reaction forces at supports Answer: a) Analyze the deformation of structures under loads The “moment-curvature relationship” describes: a) The relationship between bending moment and the curvature of the beam b) The relationship between shear force and deflection c) The relationship between axial load and deformation d) The relationship between temperature and expansion Answer: a) The relationship between bending moment and the curvature of the beam The “shear force” in a beam is: a) The internal force that resists sliding along the cross-section b) The internal force that resists bending c) The external force applied perpendicular to the length of the beam d) The external force applied parallel to the length of the beam Answer: a) The internal force that resists sliding along the cross-section In a statically determinate structure, the number of support reactions and external loads must be: a) Equal to each other b) Greater than each other c) Less than each other d) Independent of each other Answer: a) Equal to each other In a fixed-fixed beam, the reactions at the supports include: a) Vertical reactions, horizontal reactions, and moments b) Vertical reactions only c) Horizontal reactions only d) Moments only Answer: a) Vertical reactions, horizontal reactions, and moments The “compatibility conditions” in structural analysis ensure that: a) Displacements and rotations at joints are consistent with structural constraints b) All members are in tension c) All members are in compression d) The load distribution is uniform Answer: a) Displacements and rotations at joints are consistent with structural constraints In a cantilever beam with a uniformly distributed load, the maximum shear force occurs: a) At the fixed end b) At the free end c) At the midpoint d) At one-quarter length from the fixed end Answer: a) At the fixed end