# Student Projects

## VM495

# Study of Influence of Residual Stress on Simply Supported Beam

**Team Members:** Feng Yubo, Fan Yixing, Ma Xucheng, Yang Jiaxin, Zhang Zeyu

## Project Video

## Team Members

## Team Members:

Feng Yubo, Fan Yixing, Ma Xucheng, Yang Jiaxin, Zhang Zeyu

## Project Description

### Introduction

Simply supported beams loaded at the center such as spring-leaf suspensions are common in industrial field. To increase the life of these beams, one way is by introducing compressive residual stresses on the side of the beam that is normally loaded in tension as is shown in figure 1, which will lower the peak tensile stress. This experiment is designed to study the stress-reducing impact of residual stress in simply supported beam.

Figure 1. Spring-leaf Suspension System. [1]

### Theory

The relationship of surface strain (π_π ) and load (P) is:

where E is youngβs modulus and π_π is yield strain. The dimension of the 6061-T6 aluminum W*d*L is shown in figure 2. Figure 3 is the theoretical surface strain-load curve in our case.

Figure 2. Dimension of Aluminum Beam

Figure 3. Theoretical Surface Strain-Load Relationship

### Experimental

MTS machine is used to

- Perform tensile test β stress-strain curve of 6061-T6 aluminum
- Apply bending load from 0N to 330N β video of bending process recorded by a smart phone camera

Digital image correlation method and MATLAB ncorr tool are used to

- Analyze the pictures from the video β Strainβload curves

Figure 4. Experimental Setup

### Results

We measure the surface strain of the beam while the load increases from 0 to 330N. The surface strain we get through DIC method is shown in figure 5. The surface strain-load curve is shown in figure 6.

Figure 5. Surface Strain from DIC method

_{πππ }is 141.12MPa.

Then, we apply a load increasing from 0 to 150N to the plastically deformed beam to obtain the stress-load curve. Figure 7 shows the stress-load curve for the original beam and the deformed beam.

Figure 6. Strain-load Curve

Figure 7. Stress Comparison for Original Beam and Deformed Beam with Residual Stress

### Conclusions

Although the maximum stress does not necessarily occur on the surface of the beam, with theoretical analysis, we find that deformed beam with residual stress has smaller stress than the original beam under large loads. The optimal residual stress can be produced by selecting proper pre-load based on the range of the load when the beam is under use.

### Acknowledgments

Instructor: Prof. C. P. Chen, Prof. Teh, Kwee-Yan.

Lab assistant: Chen Tianhua

### Reference

[1] ] Etrailer. 2020. TRAILER LEAF SPRING SUSPENSION. [online] Available at: