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Related Concept Videos

Deformation of Member under Multiple Loadings01:11

Deformation of Member under Multiple Loadings

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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...
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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

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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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Generalized Hooke's Law01:22

Generalized Hooke's Law

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The generalized Hooke's Law is a broadened version of Hooke's Law, which extends to all types of stress and in every direction. Consider an isotropic material shaped into a cube subjected to multiaxial loading. In this scenario, normal stresses are exerted along the three coordinate axes. As a result of these stresses, the cubic shape deforms into a rectangular parallelepiped. Despite this deformation, the new shape maintains equal sides, and there is a normal strain in the direction of the...
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Temperature Dependent Deformation01:12

Temperature Dependent Deformation

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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...
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Bending of Members Made of Several Materials01:08

Bending of Members Made of Several Materials

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In analyzing a structural member composed of two different materials with identical cross-sectional areas, it is crucial to understand how their distinct elastic properties affect the member's response under load. The analysis involves assessing stress and strain distributions using the transformed section concept, which accounts for variations in material properties.
Hooke's Law determines stress in each material, stating that stress is proportional to strain but varies due to each...
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Normal Strain under Axial Loading01:20

Normal Strain under Axial Loading

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Normal strain under axial loading is an important concept in the field of mechanics of materials. Axial loading implies the application of a force along the axis of a material, like a column or bar. This force can either compress or stretch the material. In the context of axial loading, normal strain is the deformation experienced by the material in the direction of the loading force. It's calculated as the change in length divided by the original length of the material. This unitless ratio...
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Experimental Manipulation of Body Size to Estimate Morphological Scaling Relationships in Drosophila
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Allometry of

Tanvi Kale1, Dhruv Khatri1, Chaitanya A Athale1

  • 1Division of Biology, IISER Pune, Dr Homi Bhabha Road, Pashan, Pune 411008, India.

Physical Biology
|June 8, 2023
PubMed
Summary
This summary is machine-generated.

Bacterial cell surface area (SA) and volume (V) scaling deviates from the geometric law (SA ~ V2/3) when population variability and cell division dynamics are considered. Increased cell variability, not just mean size, significantly impacts SA-V scaling.

Keywords:
allometrybacterial cell-sizepopulationscalingsurface areavariabilityvolume

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Area of Science:

  • Microbiology
  • Cell Biology
  • Biophysics

Background:

  • Cell size and shape regulation are fundamental to bacterial growth.
  • Escherichia coli is a model organism for studying cell scaling.
  • Previous research focused on phenomenology and molecular mechanisms of scaling.

Purpose of the Study:

  • To investigate the influence of population statistics and cell division dynamics on bacterial surface area-to-volume (SA-V) scaling.
  • To determine if SA-V scaling adheres to the geometric law (SA ~ V2/3) under varying conditions.

Main Methods:

  • Microscopy and image analysis of Escherichia coli.
  • Statistical simulations to model cell size distributions and variability.
  • Virtual synchronization of cell cycle time-series to analyze phase-specific scaling.

Main Results:

  • Mid-log phase cells exhibit SA-V scaling close to the geometric law (exponent 2/3).
  • Filamentous cells and increased growth rates lead to higher scaling exponents (>2/3).
  • Population variability, particularly standard deviation of cell length, significantly affects SA-V scaling, often exceeding the geometric prediction.

Conclusions:

  • Bacterial SA-V scaling is influenced by population statistics and cell division dynamics, not solely geometric laws.
  • Cellular variability plays a crucial role in deviations from the SA ~ V2/3 scaling.
  • Future studies must incorporate population heterogeneity and cell cycle progression for accurate SA-V scaling estimations.