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Related Concept Videos

Support Reactions01:30

Support Reactions

1.1K
A coplanar force system refers to a set of forces that all lie in the same plane and are subject to different reactions between the point of contact and the supports. Understanding how different types of supports affect coplanar forces is crucial for designing safe and reliable structures that can withstand external loads.
The purpose of the supports is to prevent the translational motion of the system by applying an equal and opposite force and to prevent the system's rotation by applying...
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Deformations in a Symmetric Member in Bending01:18

Deformations in a Symmetric Member in Bending

337
When analyzing the deformation of a symmetric prismatic member subjected to bending by equal and opposite couples, it becomes clear that as the member bends, the originally straight lines on its wider faces curve into circular arcs, with a constant radius centered at a point known as Point C. This phenomenon helps to understand the stress and strain distribution within the member more clearly.
When the member is segmented into tiny cubic elements, it is observed that the primary stress...
337
Deformation of Member under Multiple Loadings01:11

Deformation of Member under Multiple Loadings

275
When a rod is made of different materials or has various cross-sections, it must be divided into parts that meet the necessary conditions for determining the deformation. These parts are each characterized by their internal force, cross-sectional area, length, and modulus of elasticity. These parameters are then used to compute the deformation of the entire rod.
In the case of a member with a variable cross-section, the strain is not constant but depends on the position. The deformation of an...
275
Statically Indeterminate Problem Solving01:16

Statically Indeterminate Problem Solving

562
Statically indeterminate problems are those where statics alone can not determine the internal forces or reactions. Consider a structure comprising two cylindrical rods made of steel and brass. These rods are joined at point B and restrained by rigid supports at points A and C. Now, the reactions at points A and C and the deflection at point B are to be determined. This rod structure is classified as statically indeterminate as the structure has more supports than are necessary for maintaining...
562
Temperature Dependent Deformation01:12

Temperature Dependent Deformation

253
In a nonhomogeneous rod made up of steel and brass, restrained at both ends and subjected to a temperature change, several steps are involved in calculating the stress and compressive load. Due to the problem's static indeterminacy, one end support is disconnected, allowing the rod to experience the temperature change freely. Next, an unknown force is applied at the free end, triggering deformations in the rod's steel and brass portions. These deformations are then calculated and added...
253
Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity01:15

Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity

383
Deformation occurs in axial and transverse directions when an axial load is applied to a slender bar. This deformation impacts the cubic element within the bar, transforming it into either a rectangular parallelepiped or a rhombus, contingent on its orientation. This transformation process induces shearing strain. Axial loading elicits both shearing and normal strains. Applying an axial load instigates equal normal and shearing stresses on elements oriented at a 45° angle to the load axis.
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Analysis of Contact Deformations in Support Systems Using Roller Prisms.

Krzysztof Nozdrzykowski1, Zenon Grządziel1, Paweł Dunaj2

  • 1Faculty of Marine Engineering, Maritime University of Szczecin, 1-2 Wały Chrobrego St., 70-500 Szczeci, Poland.

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Summary

Finite element analysis shows reaction forces on large crankshaft journals cause minimal permanent deformation. This finding is consistent with Hertz contact theory, confirming minimal impact on journal geometry and form.

Keywords:
Hertz contactV-block measurementasperity contactcrankshaftfinite element analysissupport conditions

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Area of Science:

  • Mechanical Engineering
  • Materials Science
  • Tribology

Background:

  • Large-sized crankshafts are critical components in many heavy machinery applications.
  • Understanding stress and strain distribution at contact points is essential for predicting component lifespan and performance.
  • Prism supports are commonly used in conjunction with crankshaft journals.

Purpose of the Study:

  • To analyze the influence of reaction forces on stresses and strains at the contact points between prism support rollers and large-sized crankshaft journals.
  • To evaluate the impact of these stresses and strains on the geometrical deviations and profile forms of the crankshaft journals.
  • To validate analytical models using experimental or numerical data.

Main Methods:

  • Finite element analysis (FEA) was employed to simulate the mechanical behavior under load.
  • Hertz contact theory was utilized to analyze contact stresses and strains.
  • Comparison of results obtained from FEA and Hertz theory to ensure consistency.

Main Results:

  • FEA and Hertz contact theory yielded highly consistent results regarding stresses and strains.
  • Calculations determined the depth of stress and strain occurrences within the shaft journal and support rollers.
  • Permanent deformations were found to have a negligible effect on measured geometrical deviations and profile forms of the main crankshaft journals.

Conclusions:

  • The combined application of FEA and Hertz contact theory provides a reliable method for analyzing contact mechanics in crankshafts.
  • Under the studied conditions, permanent deformations do not significantly alter the critical geometric parameters of crankshaft journals.
  • This research contributes to a better understanding of the structural integrity and durability of large-sized crankshafts.