(2) A square member (400mm x 400mm) sustains an internal shear force of 150 kN and an internal bending moment of 250 kN-m as shown. (a). What is the axis of bending? (b). What is the moment of inertia about the axis of bending? (c). Compute the stress at Point P that results from the shear force. Ans. 1.05 MPa 200 mm 100 mm 100 mm 47 150 kN POINT P 250 kN.m 200 mm -100 100 mm mm
(2) A square member (400mm x 400mm) sustains an internal shear force of 150 kN and an internal bending moment of 250 kN-m as shown. (a). What is the axis of bending? (b). What is the moment of inertia about the axis of bending? (c). Compute the stress at Point P that results from the shear force. Ans. 1.05 MPa 200 mm 100 mm 100 mm 47 150 kN POINT P 250 kN.m 200 mm -100 100 mm mm
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:## Analysis of Stresses in a Square Member
### Problem Statement
A square member (400 mm x 400 mm) sustains an internal shear force of 150 kN and an internal bending moment of 250 kN-m, as shown in the diagram.
### Diagram Description
The diagram illustrates a 3D view of the square member. The coordinates are marked as x, y, and z.
- A shear force of 150 kN is applied, depicted by an arrow pointing along the positive y-axis.
- A bending moment of 250 kN-m is applied, shown by a curved arrow around the z-axis.
- Point P is marked on the member, near one side of the square cross-section.
### Questions and Answers
(a) **What is the axis of bending?**
- The bending is about the z-axis, as indicated by the curved arrow.
(b) **What is the moment of inertia about the axis of bending?**
- **Answer:** The moment of inertia is not provided directly. It would typically need to be calculated based on cross-sectional geometric properties.
(c) **Compute the stress at Point P that results from the shear force.**
- **Answer:** 1.05 MPa
(d) **Compute the stress at Point P that results from the bending moment.**
- **Answer:** 11.7 MPa
(e) **Illustrate the combined state of stress at Point P on this stress cube.**
- This would involve drawing the three-dimensional stress cube at Point P with the respective shear and normal stresses calculated in the previous steps. The stress cube is visually represented in the document as a 3D block aligned with the coordinate axes.
This layout gives an overview of how to analyze structural members under combined loading conditions.
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