 
			
				STRESS CONCENTRATION FACTOR CALCULATION
			
		
		
			CIRCULAR SHAFT WITH GROOVE
			
			
			
			
			
				
				
					
					
				
				
				
				
				
					
					
						
						
					
		  
				
			
			
			
			
				
			
			
				
					
			 
			
			
				
				
				
				
					
			
			
			
			
			
		
	INSTRUCTIONS
						
					
						1. Choose r·t-1 and d·D-1  
Following conditions need to be fulfilled:
						
							
						
If you only want to determine the SCF for single load cases go on to step 3.
If you want to determine the SCF for a combined load go on to step 2.
 
2. Choose the nominal stresses Sb, Tt and Sz
Determine the nominal stress according to the equations given in OVERVIEW: EQUATIONS.
Because only the ratio of the nominal stresses is relevant for SCF calculation every unit is allowed.
Only make sure that all nominal stresses have the same unit and linear elastic material behaviour is still fulfilled.
						
						
3. Press button "Calculate SCFs"
 
						
					 
				    
				Following conditions need to be fulfilled:
| r·t-1 = 0.03 - 10 | 
| d·D-1 = 0.4 - 0.98 | 
If you only want to determine the SCF for single load cases go on to step 3.
If you want to determine the SCF for a combined load go on to step 2.
2. Choose the nominal stresses Sb, Tt and Sz
Determine the nominal stress according to the equations given in OVERVIEW: EQUATIONS.
Because only the ratio of the nominal stresses is relevant for SCF calculation every unit is allowed.
Only make sure that all nominal stresses have the same unit and linear elastic material behaviour is still fulfilled.
3. Press button "Calculate SCFs"
OVERVIEW: EQUATIONS
							The SCF describes the ratio between notch stress and nominal stress. 
							
The nominal stress is determined in the following way:
								
	
								
							
							
							Following Equations were used for the SCF Calculation . 
							
							
							 
 
The ratio r·d-1 depends on the required ratios r·t-1 and d·D-1 and is determined in the following way:
								
			
			
							
							
							
For all calculations linear elastic material behaviour is assumed.
The Equations are valid for single and combined loading.
							
Reference:
C. M. Mayr, K. Rother (2019): Improved stress concentration factors for circular shafts for uniaxial and combined loading.
Materials Testing 3 2019 193-203; https://doi.org/10.3139/120.111305
						
						The nominal stress is determined in the following way:
| Bending: | Nominal stress Sb = Mb·Wb-1 with Wb = π⁄32 d3 | 
| Torsion: | Nominal stress Tt = Mt·Wt-1 with Wt = π⁄16 d3 | 
| Tension: | Nominal stress Sz = Fz·A-1 with A = π⁄4 d2 | 
 
 The ratio r·d-1 depends on the required ratios r·t-1 and d·D-1 and is determined in the following way:
| Ratio | r·d-1 = 1⁄2· r·t-1 ( 1⁄ d·D-1 -1) | 
For all calculations linear elastic material behaviour is assumed.
The Equations are valid for single and combined loading.
Reference:
C. M. Mayr, K. Rother (2019): Improved stress concentration factors for circular shafts for uniaxial and combined loading.
Materials Testing 3 2019 193-203; https://doi.org/10.3139/120.111305
| 
								Parameters
								   | 
								
								Input
								 r·t-1 
 d·D-1 
 Calculate the SCF for a Combined load case | 
| 
								Choose the type of SCF 
								 | 
								Stress Concentration Factors (SCF)  SCF AT THE NOTCH RADIUS 
 |