If the distance of the outside edge to the axis of curvature is 100 mm, locate the centroidal axis and the neutral axis of the cross-section. Also, calculate the bending stress at the inner and outer points on the cross section, and the stress at point A as shown, if the cross-section carries an internal bending moment of 200 N.m.
If the distance of the outside edge to the axis of curvature is 100 mm, locate the centroidal axis and the neutral axis of the cross-section. Also, calculate the bending stress at the inner and outer points on the cross section, and the stress at point A as shown, if the cross-section carries an internal bending moment of 200 N.m.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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show diagram and use proper equations
Transcribed Image Text:The trapezoidal cross-section of a curved beam is depicted in the diagram.
**Diagram Description:**
- The trapezoid shows the dimensions:
- The top base measures 25 mm.
- The height from the top base to the top edge of the bottom base measures 30 mm.
- The upper left vertical line is labeled 30 mm.
- The right vertical segment between the top base and point A is labeled 25 mm.
- The bottom base measures 45 mm.
- Point A is marked on the right side, 25 mm from the upper base.
**Problem Statement:**
If the distance from the outside edge to the axis of curvature is 100 mm, locate the centroidal axis and the neutral axis of the cross-section. Also, calculate the bending stress at the inner and outer points on the cross-section, and the stress at point A as shown, if the cross-section carries an internal bending moment of 200 N·m.
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