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FL 140 Stress and strain analysis on a thick-walled cylinder



  • Direct stresses and strains of a thick cylinder under internal pressure1
  • Thick-walled, two-part cylinder as vessel
  • Cylinder with strain gauge application on surface and in wall
  • Triaxial stress state in cylinder wall


Technical Description

In contrast to thin-walled vessels, when designing thick-walled vessels allowance must be made for an uneven distribution of stresses through the thickness of the wall. The stress state in a thick-walled vessel under internal pressure is triaxial. The direct stresses and strains occur: radial, circumferential, hoop and axial.

Since the stresses and strains occurring in a vessel are not measured directly, they are determined by measuring strains on the surface. Strain gauges are employed to record the strains electrically and the stresses and strains are determined from those measurements.

The FL 140 experimental unit is used to investigate direct stresses and strains occurring on a thick-walled cylinder subjected to internal pressure. The oil-filled cylinder is made up of two halves, and is sealed on both sides. Internal pressure is generated inside the vessel with a hydraulic cylinder and a hydraulic pump. A pressure gauge indicates the internal pressure. An eccentric groove is cut between the two halves of the cylinder, in which the strain gauges are mounted at various radial points. Additional strain gauges are mounted on the inner and outer surfaces of the cylinder. Radial, hoop and axial strains are measured, enabling the strain state to be fully recorded.

The measuring amplifier FL 151 displays the recorded signals as measured value readouts. To assist and visualise evaluation of the experiment, the measured values can be imported into the application software.

Mohr’s Circle for stress and strain analysis is used to represent the triaxial stress state in the cylinder wall graphically. The direct stresses and strains are calculated from the measured strains, applying the appropriate equation of elasticity.

The well-structured instructional material sets out the fundamentals and provides a step-by-step guide through the experiments.

Learning Objectives / Experiments

- measurement of elongations by strain gauges
- application of Mohr’s Circle for the triaxial stress state
- determination of the distribution of direct stress in
  * radial, tangential and axial direction
- investigation of correlations between elongation, pressure and stress in the triaxial stress state


[1] investigation of the stresses and strains in a thick-walled cylinder under internal pressure
[2] two-part cylinder with flat groove
[3] strain gauge application at various radial points in the groove and on the cylinder surface
[4] hydraulic cylinder with hydraulic pump to generate pressure
[5] hermetically sealed hydraulic system, maintenance-free 
[6] multi-pin connector for measuring amplifier FL 151 provided 

Technical Data
Aluminium cylinder
- length: 300mm
- diameter: d=140mm
- wall thickness: 50mm
- internal pressure: max. 7N/mm² (70bar)
Strain gauge application
- 11 strain gauges: half-bridges, 350Ohm
- gauge factor: 2,00 +/-1%
- supply voltage: 10V
Pressure gauge: 0...100bar, accuracy: class 1,0

Dimensions and Weight
LxWxH: 700x350x330mm
Weight: approx. 32kg

Scope of Delivery
1 experimental unit
1 set of instructional material

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