Statics for Engineering: Master the Fundamentals of Equilibrium and Forces

Question 1

Define the moment produced by a couple, which consists of equal and opposite forces separated by a distance.

Accepted Answer

The product of one of the forces and the distance between them

Answer

The sum of the moments of the forces about any point

Answer

The difference between the moments of the forces about any point

Answer

Zero

Question 2

What is the vertical displacement of a beam's midpoint called?

Accepted Answer

Vertical displacement of the beam's midpoint

Answer

Distance between the beam's neutral axis and its centroid

Answer

Angle between the beam's ends

Answer

Horizontal displacement of the beam's ends

Question 3

Identify the type of analysis that is NOT considered static analysis.

Accepted Answer

Dynamic analysis

Answer

Linear analysis

Answer

Nonlinear analysis

Answer

Plastic analysis

Question 4

Identify the SI unit for moment.

Accepted Answer

Newton-meter

Answer

Newton

Answer

Kilogram-meter

Answer

Joule

Question 5

Identify the assumption that is NOT fundamental to the theory of elasticity.

Accepted Answer

The material is rigid.

Answer

The material is isotropic.

Answer

The material is homogeneous.

Answer

The strains are small.

Question 6

Which of the following is not a necessary condition for static equilibrium of a rigid body?

Accepted Answer

The center of gravity of the body lies vertically above its point of support.

Answer

The net force acting on the body is zero.

Answer

The net moment acting on the body is zero.

Answer

The body is not in motion.

Question 7

A truss is a structure that utilizes triangles for load distribution. What is the main purpose of employing triangles in a truss?

Accepted Answer

To provide stability to the structure

Answer

To increase the stiffness of the structure

Answer

To reduce the weight of the structure

Answer

To minimize bending stresses in the members

Question 8

Explain the fundamental difference between a scalar quantity and a vector quantity.

Accepted Answer

A scalar quantity possesses only magnitude, while a vector quantity has both magnitude and direction.

Answer

A vector quantity possesses only magnitude, while a scalar quantity has both magnitude and direction.

Answer

Scalar quantities can be added and subtracted, while vector quantities cannot.

Answer

Vector quantities can be added and subtracted, while scalar quantities cannot.

Question 9

A beam with a length of 6 m is supported at both ends and carries a concentrated load of 10 kN at its center. Determine the maximum bending moment in the beam.

Accepted Answer

30 kNm

Answer

15 kNm

Answer

45 kNm

Answer

60 kNm

Question 10

Which technique is commonly used to analyze trusses?

Accepted Answer

Method of joints

Answer

Method of sections

Answer

Virtual work method

Answer

Stiffness matrix method

Question 11

Identify the characteristic of a stable equilibrium.

Accepted Answer

The body returns to its original position after being disturbed

Answer

The body moves away from its original position after being disturbed

Answer

The body remains in its original position after being disturbed

Answer

The body oscillates around its original position after being disturbed

Question 12

A simply supported beam is a beam that is supported at both ends. What is the maximum bending moment in a simply supported beam subjected to a uniformly distributed load?

Accepted Answer

At the center of the beam

Answer

At the ends of the beam

Answer

At the quarter points of the beam

Answer

At the third points of the beam

Question 13

A rigid body is in static equilibrium if:

Accepted Answer

Both (a) and (b) are true

Answer

The resultant force acting on it is zero

Answer

The resultant moment acting on it is zero

Answer

Neither (a) nor (b) is true

Question 14

The method of sections is a technique used to:

Accepted Answer

Analyse the forces in a truss

Answer

Analyse the displacements in a truss

Answer

Determine the reactions at the supports of a truss

Answer

Calculate the natural frequencies of a truss

Question 15

A frame is a structure composed of:

Accepted Answer

Rigid bars connected by rigid joints

Answer

Rigid bars connected by flexible joints

Answer

Flexible bars connected by rigid joints

Answer

Flexible bars connected by flexible joints

Question 16

The reactions at the supports of a frame are:

Accepted Answer

Not necessarily equal to the applied loads

Answer

Always equal to the applied loads

Answer

Always less than the applied loads

Answer

Always greater than the applied loads

Question 17

The deflection of a beam is:

Accepted Answer

The vertical displacement of the beam

Answer

The horizontal displacement of the beam

Answer

The rotation of the beam

Answer

The strain in the beam

Question 18

The bending moment in a beam is:

Accepted Answer

The moment that causes the beam to bend

Answer

The moment that causes the beam to twist

Answer

The moment that causes the beam to stretch

Answer

The moment that causes the beam to compress

Question 19

The stress in a beam is:

Accepted Answer

The force per unit area acting on the beam

Answer

The displacement per unit length of the beam

Answer

The strain per unit time of the beam

Answer

The temperature per unit volume of the beam

Question 20

What is the SI unit of force?

Accepted Answer

Newton

Answer

Joule

Answer

Pascal

Answer

Meter

Question 21

A 100 N force is applied to an object at a distance of 5 meters from the pivot. Calculate the moment exerted on the object.

Accepted Answer

500 Nm

Answer

100 Nm

Answer

200 Nm

Answer

250 Nm

Question 22

Where is the centroid of a triangle located?

Accepted Answer

One-third of the distance from the base to the apex

Answer

Geometric center

Answer

Halfway between the base and the apex

Answer

At the apex

Question 23

Calculate the moment of inertia of a rectangular area about its centroidal axis.

Accepted Answer

(b*h^3)/12

Answer

(b*h)/12

Answer

b*h^2

Answer

b^2*h^2

Question 24

Which of the following is NOT a characteristic of a free body diagram?

Accepted Answer

Assumes the object is in equilibrium

Answer

Isolates an object from its surroundings

Answer

Includes all forces acting on the object

Answer

Uses arrows to represent forces

Question 25

Which condition is NOT required for a rigid body to be in equilibrium?

Accepted Answer

The body is moving with constant velocity.

Answer

The net force acting on the body is zero.

Answer

The net moment acting on the body is zero.

Answer

The body is at rest.

Question 26

In a truss, why are triangles used as the basic structural elements?

Accepted Answer

To enhance stability and prevent collapse

Answer

To reduce the overall weight of the structure

Answer

To increase the strength of the structure

Answer

To improve the aesthetic appeal of the structure

Question 27

What unit is used to measure stress?

Accepted Answer

Pascal

Answer

Newton

Answer

Kilogram per square meter

Answer

Meter per second squared

Question 28

A material has a tensile strength of 200 MPa. What does this imply?

Accepted Answer

The material can withstand a maximum tensile stress of 200 MPa without failure

Answer

The material has a density of 200 kg/m³

Answer

The material has a modulus of elasticity of 200 GPa

Answer

The material has a Poisson's ratio of 200

Question 29

Which type of loading causes a beam to bend?

Accepted Answer

Bending load

Answer

Axial load

Answer

Shear load

Answer

Torsional load

Question 30

Which computer-aided engineering (CAE) tool is commonly used to analyze the static behavior of structures?

Accepted Answer

ANSYS

Answer

AutoCAD

Answer

MATLAB

Answer

Python

Question 31

The method of sections is used to:

Accepted Answer

Determine the forces in members of a truss.

Answer

Calculate the reactions at the supports of a truss.

Answer

Design a truss for a specific load.

Answer

Analyze the stability of a truss.

Question 32

The three equations of equilibrium are:

Accepted Answer

∑F_x = 0, ∑F_y = 0, ∑M = 0

Answer

∑F = 0, ∑M_x = 0, ∑M_y = 0

Answer

∑F_x = 0, ∑F_y = 0, ∑M_z = 0

Answer

∑F = 0, ∑M = 0, ∑E = 0

Question 33

A cantilever beam is a beam that:

Accepted Answer

Is fixed at one end and free at the other.

Answer

Is supported at both ends.

Answer

Is simply supported at one end and fixed at the other.

Answer

Is fixed at both ends.

Question 34

The bending moment at a section of a beam is:

Accepted Answer

The algebraic sum of the moments of the forces acting on the beam to one side of the section.

Answer

The algebraic sum of the moments of the forces acting on the beam to both sides of the section.

Answer

The moment acting perpendicular to the beam at the section.

Answer

The moment acting parallel to the beam at the section.

Question 35

A beam supported at its ends carries a load. Which loading condition will produce the maximum bending moment at the center of the beam?

Accepted Answer

Concentrated load at the center

Answer

Uniformly distributed load over the entire beam

Answer

Two equal point loads at the third points of the beam

Answer

Two equal point loads at the quarter points of the beam

Question 36

A truss is a structure composed of triangles to transfer loads to supports. Which statement is NOT a characteristic of a truss?

Accepted Answer

Trusses are statically indeterminate.

Answer

Joints are pinned.

Answer

Members are subjected only to axial forces.

Answer

Members are connected by gusset plates.

Question 37

A frame is a structure that employs rigid joints to transfer loads to supports. Which advantage do frames offer over trusses?

Accepted Answer

Increased stiffness

Answer

Reduced weight

Answer

Easier fabrication

Answer

Enhanced aesthetic appeal

Question 38

Which of the following is NOT a type of frame?

Accepted Answer

Rigid frame

Answer

Pin-jointed frame

Answer

Moment-resisting frame

Answer

Semi-rigid frame

Question 39

Which of the following is NOT a type of moment?

Accepted Answer

Axial moment

Answer

Torsional moment

Answer

Eccentric moment

Answer

Bending moment

Question 40

Identify the unit of moment.

Accepted Answer

N-m

Answer

m

Answer

kg-m

Answer

N

Question 41

Classify the following quantity: Force

Accepted Answer

Scalar quantity

Answer

Acceleration

Answer

Velocity

Answer

Displacement

Question 42

Classify the following quantity: Moment

Accepted Answer

Vector quantity

Answer

Time

Answer

Mass

Answer

Temperature

Question 43

A force of 100 N acts on a body at an angle of 30° to the horizontal. Calculate the magnitude of the horizontal component of the force.

Accepted Answer

86.6 N

Answer

173.2 N

Answer

100 N

Answer

50 N

Question 44

A beam of length 2 m is supported at both ends. A point load of 1000 N is applied at the center of the beam. Determine the magnitude of the maximum bending moment.

Accepted Answer

500 Nm

Answer

250 Nm

Answer

750 Nm

Answer

1000 Nm

Question 45

Which of the following describes a truss?

Accepted Answer

A structure made of members pinned together at their ends

Answer

A structure made of glued members

Answer

A structure made of bolted members

Answer

A structure made of welded members

Question 46

For a rigid body in equilibrium, which equations must be satisfied?

Accepted Answer

ΣF = 0 and ΣM = 0

Answer

ΣF ≠ 0 and ΣM = 0

Answer

ΣF = ma and ΣM = Iα

Answer

ΣF = 0 and ΣM ≠ 0

Question 47

A particle is in equilibrium under the action of three forces. Which statement is necessarily true?

Accepted Answer

The vector sum of the three forces is zero

Answer

The forces act along the same line

Answer

The forces form a closed triangle

Answer

The magnitude of one force is equal to the sum of the magnitudes of the other two forces

Question 48

Which of the following defines a frame?

Accepted Answer

A structure made of members connected by rigid joints

Answer

A structure made of bolted members

Answer

A structure made of welded members

Answer

A structure made of pinned members

Question 49

The shear force in a beam is defined as:

Accepted Answer

The algebraic sum of the vertical forces acting either side of the section

Answer

The moment of the forces acting on the beam

Answer

The force applied to the beam at the supports

Question 50

The deflection of a beam is defined as:

Accepted Answer

The distance between the original and deformed positions of a point on the beam

Answer

The change in length of the beam

Answer

The angle of rotation of the beam