CE Board Exam Randomizer

⬅ Back to Subject Topics

Analysis of Frames

Frames are structural systems composed of multiple members connected together, typically to support various types of loads. In this section, we will begin by analyzing pin-connected frames — similar in form to trusses but capable of carrying more complex loading scenarios.

Pin-connected frames may carry axial forces like trusses, but they can also transmit external loads applied between joints, making their analysis slightly more involved. We'll still rely on the basic principles of statics discussed in the Statics of Rigid Bodies section, including the following equations:

\[ \sum F_x = 0, \quad \sum F_y = 0, \quad \sum M = 0 \]

Later on, we will also tackle rigid frames — those with members connected by rigid joints, capable of resisting axial forces, shear forces, and bending moments. These types of frames require more advanced techniques for analysis, especially when they become statically indeterminate.

Concept Concept Concept Concept Concept Concept Concept Concept Concept

Problem 1:

Refer to the image shown:

Diagram Diagram Diagram

See images:

Solution Solution Solution Solution

Problem 2:

Refer to the image shown:

Diagram Diagram Diagram

See images:

Solution Solution Solution Solution

Problem 3:

Refer to the image shown:

Diagram Diagram Diagram

See images:

Solution Solution Solution Solution

Problem 4:

Refer to the image shown:

Diagram Diagram Diagram

See images:

Solution Solution Solution Solution

Problem 5:

Refer to the image shown:

Diagram Diagram Diagram

See images:

Solution Solution Solution Solution

Problem 6:

Refer to the image shown:

Diagram Diagram Diagram

See images:

Solution Solution Solution Solution

Problem 7:

Refer to the image shown:

Diagram Diagram Diagram

See images:

Solution Solution Solution Solution

Problem 8:

Refer to the image shown:

Diagram Diagram Diagram

See images:

Solution Solution Solution Solution