CE Board Exam Randomizer

Question 1

Analysis of Trusses (Method of Sections)

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Analysis of Trusses: Method of Sections | Statics of Rigid Bodies – Problem 1: – Diagram

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Analysis of Trusses: Method of Sections | Statics of Rigid Bodies – Problem 2: – Diagram

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Analysis of Trusses: Method of Sections | Statics of Rigid Bodies – Problem 3: – Diagram

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Analysis of Trusses: Method of Sections | Statics of Rigid Bodies – Problem 4: – Diagram

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Analysis of Trusses: Method of Sections | Statics of Rigid Bodies – Problem 5: – Diagram

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Analysis of Trusses: Method of Sections | Statics of Rigid Bodies – Problem 6: – Diagram

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Analysis of Trusses: Method of Sections | Statics of Rigid Bodies – Problem 7: – Diagram

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Analysis of Trusses: Method of Sections | Statics of Rigid Bodies – Problem 8: – Diagram

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Use moment equilibrium of the cut free body.

\[ \begin{aligned} \sum M=0:\quad F_{DE}(3)-45&=0 \\ F_{DE}&=15\ \text{kN} \end{aligned} \] $\boxed{F_{DE}=15\ \text{kN}}$

Answer

The vertical component is four-fifths of the member force.

\[ \begin{aligned} F\left({4\over5}\right)&=24 \\ F&=30\ \text{kN} \end{aligned} \] $\boxed{F=30\ \text{kN}}$

Answer

Solve the vertical equation first, then substitute into the horizontal equation.

\[ \begin{aligned} 0.8F_2&=16 \\ F_2&=20\ \text{kN} \\ F_1+0.6(20)&=18 \\ F_1&=6\ \text{kN} \end{aligned} \] $\boxed{F_1=6\ \text{kN}},\qquad \boxed{F_2=20\ \text{kN}}$

Question 2

Problem:

Determine the force in members CD, CH, GH, and CG and state if these members are in tension or compression.

Question 3

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Question 4

Problem:

In the truss shown below:
a. Determine the force in AD
b. Determine the force in BD
c. Determine the force in BC.

Question 5

Problem: Maximum Value of the Applied P based on Given Capacities of Members

Given the truss shown in the figure,

a. If the strength of the truss is governed by the compressive load of member BD which is 100 kN, compute the maximum value of P in kilonewtons.
a. 25
b. 30
c. 20
d. Not in the list

b. If its strength is governed by the tensile force of member CD of 50 kN, compute the maximum value of P in kilonewtons.
a. 20
b. 50
c. 30
d. 40

c. If its strength is governed by the tensile force of member CF of 75 kN, compute the maximum value of P in kilonewtons.
a. 25
b. 30
c. 20
d. 15

Question 6

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Question 7

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Question 8

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Question 9

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Question 10

Problem (Section member from moment):

A truss section cuts member DE. Taking moments about a joint where the other two cut members intersect gives a perpendicular distance of 3m from DE. If the external moment about that joint is 45kN-m clockwise, determine the force in DE.

Question 11

Problem (Section with inclined member components):

A cut exposes an inclined member with a 3-4-5 slope. The vertical equilibrium of the free body requires an upward component of 24kN from this member. Determine the member force.

Question 12

Problem (Solving two cut members by sections):

After cutting a truss, horizontal equilibrium gives F₁ + 0.6F₂ = 18, and vertical equilibrium gives 0.8F₂ = 16. Determine F₁ and F₂.