Unit 2 / MCQs
Unit 2 MCQ Bank
Equilibrium
Beam reactions, free-body diagrams, and classic contact problems. This is the safest high-ROI unit.
Unit 2 MCQ Bank
50 questions focused on the repeated in-sem and short-answer concepts.
Use the free three as a fast concept check. The remaining premium questions are intentionally locked as the paid part of the unit bank. Free hints stay open for Questions 1 to 3; premium hints stay locked from Question 4 onward.
Free Sampler
Questions 1 to 3 are open
Question 1
Roller SupportFor a roller support on a horizontal surface in a 2D beam problem, the reaction is usually:
Question 2
UDL ConversionA UDL of intensity w over a loaded length L is replaced by which equivalent point load?
Question 3
Applied CoupleAn applied couple on a beam appears in which equilibrium equation?
Premium Set
Questions 4 to 50 stay locked
These cards show the concept being tested without exposing the full premium stems, options, answers, or hints.
Question 4
PremiumUVL Conversion
Tests both magnitude and location for a triangular load.
Question 5
PremiumPin Support
Checks the reaction components at a hinge or pin.
Question 6
PremiumSmooth Contact
Checks the direction of reaction at a smooth surface.
Question 7
PremiumMoment Centre Choice
Tests the smartest way to eliminate an unknown support reaction.
Question 8
PremiumFixed Support
Checks the reaction set at a built-in end.
Question 9
PremiumLami's Theorem
Checks the exact conditions for using Lami instead of component equations.
Question 10
PremiumSmooth Cylinder Contact
Checks the reaction direction in a repeated cylinder-between-planes family.
Question 11
PremiumPartial UDL Location
Targets the most common partial-UDL mistake.
Question 12
PremiumMoment Sign Convention
Checks sign handling for applied couples.
Question 13
PremiumCouple Position
Checks whether moving a couple along the beam changes its effect.
Question 14
PremiumHeavier End Reaction
Uses physical intuition on a UVL problem.
Question 15
PremiumNo Horizontal Load on Beam
Checks the consequence for the pin reaction.
Question 16
PremiumSmooth Wall on Ladder
Checks the wall reaction direction in a classic ladder FBD.
Question 17
PremiumRough Floor on Ladder
Checks whether the floor contact is modeled with components.
Question 18
PremiumThree-Force Body
Checks a classic equilibrium geometry condition.
Question 19
PremiumTwo-Force Member
Checks a repeated structural simplification.
Question 20
PremiumFBD Discipline
Checks the first procedural step before equations.
Question 21
PremiumHinge Moment Capacity
Checks the support idealization for a pin or hinge.
Question 22
PremiumRocker Support
Connects a rocker to the same reaction logic as a roller.
Question 23
PremiumLoad Diagram Area
Checks the basis of load conversion.
Question 24
PremiumZero Moment Contribution
Checks a simple but often-missed moment shortcut.
Question 25
PremiumCouple Effect on Reactions
Checks the role of a couple in beam reaction problems.
Question 26
PremiumVertical Load Balance
Checks the quickest force-balance check on a simply supported beam.
Question 27
PremiumInclined Beam Load
Checks how an inclined load enters beam-equilibrium equations.
Question 28
PremiumSmooth Collar
Checks the reaction direction for a collar constrained on a guide.
Question 29
PremiumUVL Heavy-End Rule
Checks the direction of centroid shift in a triangular load.
Question 30
PremiumCable Force Direction
Checks the direction of force in cable-supported equilibrium problems.
Question 31
PremiumMoment About B
Checks the elimination logic if moments are taken about the right support.
Question 32
PremiumHorizontal Load Path
Checks support responsibility under a horizontal beam load.
Question 33
PremiumPlanar Equation Count
Checks the maximum number of independent equilibrium equations in 2D.
Question 34
PremiumEquivalent Load Scope
Checks where load-conversion is valid in beam reaction problems.
Question 35
PremiumSupport Identification
Checks the order of attack in equilibrium problems.
Question 36
PremiumRough Surface Reaction Model
Distinguishes a rough contact from a smooth one.
Question 37
PremiumSmooth Surface Reaction Model
Checks a surface-contact shortcut used in sphere and cylinder problems.
Question 38
PremiumPoint Load Conversion
Checks that a point load is not needlessly altered.
Question 39
PremiumUVL Reference End
Targets the most repeated UVL placement mistake.
Question 40
PremiumPositive Couple Sign
Checks sign consistency for applied moments.
Question 41
PremiumCouple and Sigma Fy
Checks whether a couple should appear in force balance.
Question 42
PremiumSphere Between Smooth Planes
Checks the direction of reaction lines in a two-contact problem.
Question 43
PremiumMoment Sign Discipline
Checks a habit that prevents beam-reaction errors.
Question 44
PremiumCombined Load Diagrams
Checks how to handle a beam carrying more than one distributed-load shape.
Question 45
PremiumForce Through Support
Uses a common beam-reaction shortcut.
Question 46
PremiumWhole-Body FBD
Checks whether internal forces belong on the overall free-body diagram.
Question 47
PremiumLadder Moment Point
Checks the smartest moment point in a ladder problem.
Question 48
PremiumBeam-Reaction Strategy
Tests the standard order of equations.
Question 49
PremiumStatic Determinacy at Supports
Checks reaction count against equilibrium equation count.
Question 50
PremiumBeam with Pure Couple Only
Checks support-reaction logic when no vertical load is applied.
Unlock Questions 4 to 50
The free sampler is open, but the deeper repetition bank for Unit 2 stays premium. Unlock to get the remaining 47 questions with hints and worked answer explanations.