Determine the reactions at the supports (Note: “A” is fixed and “B” can be idealized as a roller). The moment of inertia (2nd moment of area) for each segment is shown in the figure. Let E = 29,000 ksi. Select the reaction at B as the redundant.
Determine the reactions at the supports (Note: “A” is fixed and “B” can be idealized as a roller). The moment of inertia (2nd moment of area) for each segment is shown in the figure. Let E = 29,000 ksi. Select the reaction at B as the redundant.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
) Determine the reactions at the
supports (Note: “A” is fixed and
“B” can be idealized as a roller).
The moment of inertia (2nd moment
of area) for each segment is shown
in the figure. Let E = 29,000 ksi.
Select the reaction at B as the
redundant.
Transcribed Image Text:The image displays a cantilever beam system with designated sections and moments of inertia. The beam is fixed at point A and extends to point C. There are two segments:
- Segment AB:
- Length: 18 feet
- Moment of inertia, \( I_{AB} = 600 \, \text{in}^4 \)
- Segment BC:
- Length: 12 feet
- Moment of inertia, \( I_{BC} = 300 \, \text{in}^4 \)
A concentrated moment of 15 kip-feet (\( \text{k} \cdot \text{ft} \)) is applied at the free end, point C.
**Description of the Beam:**
- The beam is supported at point A (fixed support).
- Point B is located at the boundary between segments AB and BC.
- Point C is the free end of the beam where the moment is applied.
This setup is typically used to study bending and deformation in beams under applied moments. The difference in moments of inertia between segments indicates a possible change in cross-sectional geometry or material properties.
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