a. Calculate reactive forces. b. Plot Shear & Moment Diagrams labeled with pertinent values. c. Calculate centroid of cross-section. 1 in.. d. Calculate Moment of Inertia of cross-section e. Calculate the maximum positive bending stress. f. Calculate the maximum negative bending stress. g. Calculate the maximum shear stress. 25 kips 25 kips 25 kips с D A It 1 ft 2 ft 6 ft E 2 ft B 4 in. 2 in. + a b 1 in.. 1 in. |←4 in.→|
a. Calculate reactive forces. b. Plot Shear & Moment Diagrams labeled with pertinent values. c. Calculate centroid of cross-section. 1 in.. d. Calculate Moment of Inertia of cross-section e. Calculate the maximum positive bending stress. f. Calculate the maximum negative bending stress. g. Calculate the maximum shear stress. 25 kips 25 kips 25 kips с D A It 1 ft 2 ft 6 ft E 2 ft B 4 in. 2 in. + a b 1 in.. 1 in. |←4 in.→|
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
Transcribed Image Text:**Task Description:**
a. Calculate reactive forces.
b. Plot Shear & Moment Diagrams labeled with pertinent values.
c. Calculate centroid of cross-section.
d. Calculate Moment of Inertia of cross-section.
e. Calculate the maximum positive bending stress.
f. Calculate the maximum negative bending stress.
g. Calculate the maximum shear stress.
**Diagram Explanation:**
1. **Beam Diagram**:
- A beam is placed horizontally, supported by a pin at point A and a roller at point B.
- Three downward forces of 25 kips each are applied at points C, D, and E.
- Distances are as follows:
- A to C: 1 ft
- C to D: 2 ft
- D to E: 6 ft
- E to B: 2 ft
2. **Cross-Section Diagram**:
- The cross-section of the beam is an L-shape.
- Horizontal top section: 1 in. wide.
- Vertical stem starts under the horizontal section: 1 in. from each side.
- Top section: 4 in. tall.
- Vertical stem extends: 2 in. downward.
- Bottom: 4 in. wide.
This setup involves analyzing the structural integrity and stress responses within the beam under load. Calculations will be needed to assess the behavior and safety of the beam construction.
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