CE Board Exam Randomizer

Question 1

Zero Force Members

The members with lines are zero-force members.

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Zero Force Members | Statics of Rigid Bodies – Problem 1: – Diagram

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Zero Force Members | Statics of Rigid Bodies – Problem 2: – Diagram

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Zero Force Members | Statics of Rigid Bodies – Problem 3: – Diagram

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Zero Force Members | Statics of Rigid Bodies – Problem 4: – Diagram

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Zero Force Members | Statics of Rigid Bodies – Problem 5: – Diagram

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Zero Force Members | Statics of Rigid Bodies – Problem 6: – Diagram

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Zero Force Members | Statics of Rigid Bodies – Problem 7: – Diagram

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Zero Force Members | Statics of Rigid Bodies – Problem 8: – Diagram

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An unloaded joint with only two noncollinear members cannot satisfy equilibrium unless both member forces are zero.

\[ \boxed{F_{DA}=0},\qquad \boxed{F_{DB}=0} \]

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When two members are collinear and the third is noncollinear at an unloaded joint, the noncollinear member is zero.

\[ \boxed{F_{EC}=0} \]

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Apply the zero-force rules joint by joint.

\[ \begin{aligned} \text{Joint F:}&\quad F_{FA}=0,\quad F_{FB}=0 \\ \text{Joint G:}&\quad F_{GE}=0 \end{aligned} \] $\boxed{FA,\ FB,\ \text{and}\ GE\ \text{are zero-force members}}$

Question 2

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Question 9

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Question 10

Problem (Two noncollinear members at an unloaded joint):

At joint D of a truss, only members DA and DB meet. The members are not collinear, and no external load or support reaction is applied at D. Identify the zero-force members.

Question 11

Problem (Third member at a two-collinear-member joint):

At joint E, members EA and EB are collinear, while member EC is not collinear with them. There is no external load or reaction at E. Identify the zero-force member.

Question 12

Problem (Combined zero-force member identification):

A truss has unloaded joint F with only noncollinear members FA and FB. Joint G is also unloaded and has collinear members GC and GD plus noncollinear member GE. Identify the zero-force members before solving the truss.