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Related Concept Videos

Eccentric Axial Loading in a Plane of Symmetry01:16

Eccentric Axial Loading in a Plane of Symmetry

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.
Thin-Walled Hollow Shafts01:15

Thin-Walled Hollow Shafts

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 of...
Unsymmetric Bending - Angle of Neutral Axis01:15

Unsymmetric Bending - Angle of Neutral Axis

Unsymmetrical bending occurs when a structural member is subjected to bending moments in a plane that does not align with the member's principal axes. This scenario typically arises in beams and other structural components when loads are applied at non-ideal angles, introducing complexities in stress analysis.
When a bending moment is applied at an angle θ concerning the vertical axis of a symmetrical member, it can be resolved into components along the member's principal centroidal axes. The...
Plastic Deformation in Circular Shafts01:20

Plastic Deformation in Circular Shafts

When materials are subjected to forces that surpass their yield strength, they undergo a process known as plastic deformation. This results in a permanent alteration or strain in their structure. This concept can be specifically applied to circular shafts, where the deformation leads to a change in its shape. The precise evaluation of this plastic deformation requires understanding the stress distribution within the circular shaft, which is achieved by calculating the maximum shearing stress in...
Deformations in a Symmetric Member in Bending01:18

Deformations in a Symmetric Member in Bending

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...
General Case of Eccentric Axial Loading01:12

General Case of Eccentric Axial Loading

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 bending,...

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Related Experiment Video

Updated: Jun 16, 2026

A Novel Biaxial Testing Apparatus for the Determination of Forming Limit under Hot Stamping Conditions
07:40

A Novel Biaxial Testing Apparatus for the Determination of Forming Limit under Hot Stamping Conditions

Published on: April 4, 2017

Machine for fabricating axially symmetric concave aspherics.

H Hashimoto

    Applied Optics
    |February 4, 2010
    PubMed
    Summary

    A new machine fabricates concave aspheric surfaces up to 200 mm using a silicon carbide wheel and diamond dresser. Feedback corrections ensure precise grinding of optical components.

    Area of Science:

    • Optics and Materials Science
    • Precision Engineering and Manufacturing

    Background:

    • Fabricating complex optical surfaces like concave aspheres requires advanced machinery.
    • Existing methods may face limitations in precision and scale for specific applications.

    Purpose of the Study:

    • To present the design and operational principle of a novel machine for fabricating concave aspheric surfaces.
    • To detail the key components and control mechanisms enabling high-precision surface generation.

    Main Methods:

    • Utilized a plastic-bonded silicon carbide wheel with a convex cutting surface.
    • Employed a continually dressing diamond form dresser for wheel maintenance.
    • Incorporated a numerically controlled jig borer for cam fabrication, matching tool diameter to cam follower.

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    Last Updated: Jun 16, 2026

    A Novel Biaxial Testing Apparatus for the Determination of Forming Limit under Hot Stamping Conditions
    07:40

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    Published on: April 4, 2017

    Application of Design Aspects in Uniaxial Loading Machine Development
    05:23

    Application of Design Aspects in Uniaxial Loading Machine Development

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  • Implemented a feedback system using the diamond dresser's location for real-time corrections.

    • Main Results:

    • Successfully constructed a machine capable of fabricating concave aspheric surfaces.
    • The machine accommodates diameters up to 200 mm and reference radii from 20 mm to 150 mm.
    • The integrated feedback mechanism allows for precise control over the grinding process.

    Conclusions:

    • The developed machine offers a viable solution for producing high-quality concave aspheric optical surfaces.
    • The combination of specific tooling, dressing, and feedback control enables precise fabrication within specified parameters.