Related Experiment Video
Updated: Oct 12, 2025
06:34
Finite Element Modeling for the Simulation of the Quasi-Static Compression of Corrugated Tapered Tubes
Published on: January 6, 2023
1.9K
Stress analysis and applicability analysis of the elliptical head
Zhanhui Wang1,2, Zhifang Zhang3,4, Jinzhong Chen3
1School of Chemistry and Chemical Engineering, Yulin University, Yulin, 719000, Shanxi, China. 402782688@qq.com.
Scientific Reports
|November 26, 2021
Summary
A new theoretical formula for stress calculation in elliptical head-cylinder connections of pressure vessels is presented. Experimental validation confirms its accuracy, aiding in stress measurement for internal-pressure vessels.
Area of Science:
- Mechanical Engineering
- Materials Science
- Applied Mathematics
Background:
- Pressure vessels are critical components in various industries.
- The mechanical performance of cylinders and heads is vital for safe operation.
- A lack of unified theoretical formulas for elliptical head-cylinder connections poses design challenges.
Purpose of the Study:
- To deduce a theoretical stress calculation formula for the connection region between a standard elliptical head and a cylinder.
- To experimentally verify the accuracy and applicability of the derived theoretical formula.
- To provide guidance for stress measurement in internal-pressure vessels.
Main Methods:
- Deduction of a theoretical stress calculation formula based on the deformation continuity equation.
- Experimental stress measurement using an internal-pressure thin-walled-vessel stress measurement device.
- Comparative analysis of theoretical and experimental stress values in the discontinuous region.
Main Results:
- A valid theoretical stress calculation formula for the elliptical head-cylinder discontinuous region was established.
- Experimental results confirmed the accuracy and applicability of the theoretical formula.
- The study provides a reliable method for stress analysis in pressure vessel connections.
Conclusions:
- The derived theoretical stress calculation formula is accurate and applicable for elliptical head-cylinder connections.
- The findings contribute to improved stress analysis and design of pressure vessels.
- This research offers practical guidance for stress measurement in internal-pressure vessel components.
Related Concept Videos
01:18Stress Concentrations in Circular Shafts
289
Consider the elastic torsion formula, which applies to a circular shaft with a consistent cross-section. This formula assumes that the shaft's ends are loaded with rigid plates firmly attached. However, in many cases, torques are applied to the shaft through mechanisms like flange couplings or gears, which are connected by keys inserted into keyways. This application method modifies the stress distribution near the point of torque application, causing it to deviate from the distributions...
289
01:15Thin-Walled Hollow Shafts
285
In analyzing a thin-walled hollow shaft subjected to torsional loading, a segment with width dx is isolated for examination. Despite its equilibrium state, this segment faces torsional shearing forces at its ends. These forces are quantitatively described by the product of the longitudinal shearing stress on the segment's minor surface and the area of this surface, leading to the concept of shear flow. This shear flow is consistent throughout the structure, indicating a uniform distribution...
285
01:15Design of Transmission Shafts - Stress Analysis
526
Designing a transmission shaft requires a thorough understanding of the stresses induced by bending moments and torques, especially in systems where power is transferred through gears. These forces create force-couple systems at the centers of the shaft's cross-sections, leading to both transverse and torsional loading. Although shearing stresses from transverse loads are typically smaller than those from torques and are often overlooked, the significant normal stresses from these loads...
526
01:12General Case of Eccentric Axial Loading
285
Unsymmetrical bending occurs when the bending moment applied to a structural member does not align with its principal axis. This misalignment leads to complex stress distributions and deflection patterns that differ from symmetrical bending, which are essential for designing structures to withstand different loading conditions.
Consider a member subjected to equal and opposite forces that are applied along a line that does not coincide with the member's neutral axis. In unsymmetrical...
Consider a member subjected to equal and opposite forces that are applied along a line that does not coincide with the member's neutral axis. In unsymmetrical...
285
01:16Eccentric Axial Loading in a Plane of Symmetry
335
Eccentric axial loading occurs when an axial load is applied away from the centroidal axis of a structural member. This scenario is common in engineering, where structural elements may not be directly aligned due to various design or functional requirements.
335
01:23Stresses under Combined Loadings
256
When analyzing a bent tube with a circular cross-section subjected to multiple forces, it is crucial to determine the stress distribution in order to maintain structural integrity under varied load conditions.
The process begins by slicing the tube at critical points and analyzing the internal forces and stress components at these sections, focusing on the centroid. Normal stresses, generated by axial forces and bending moments, are either compressive or tensile and vary across the section from...
The process begins by slicing the tube at critical points and analyzing the internal forces and stress components at these sections, focusing on the centroid. Normal stresses, generated by axial forces and bending moments, are either compressive or tensile and vary across the section from...
256