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Holmarc 杨氏模量仪

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  • 产品名称:Holmarc 杨氏模量仪
  • 产品型号:HO-ED-M-02
  • 产品展商:holmarc
  • 产品文档:无相关文档
  • 发布时间:2020-03-21
  • 在线询价
简单介绍
霍尔马克的杨氏模量仪(型号:HO-ED-M-02)用于测量棒材的杨氏模量。杨氏模量是弹性材料的刚度的量度,并且是用于表征材料的量。根据材料的确切组成,它可能会发生很大变化。如果光束在其中点受力,则产生的凹陷将不会形成圆弧。这种弯曲称为非均匀弯曲。如果梁的两端都加载,则产生的高程将形成一个圆弧。这种弯曲称为均匀弯曲。在均匀弯曲和不均匀弯曲中,使用两种方法来测量钢筋的杨氏模量。它们是销和显微镜法和光学杠杆法。
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霍尔马克的杨氏模量仪(型号:HO-ED-M-02)用于测量棒材的杨氏模量。杨氏模量是弹性材料的刚度的量度,并且是用于表征材料的量。根据材料的确切组成,它可能会发生很大变化。如果光束在其中点受力,则产生的凹陷将不会形成圆弧。这种弯曲称为非均匀弯曲。如果梁的两端都加载,则产生的高程将形成一个圆弧。这种弯曲称为均匀弯曲。在均匀弯曲和不均匀弯曲中,使用两种方法来测量钢筋的杨氏模量。它们是销和显微镜法和光学杠杆法。

在非均匀弯曲时,梁(米标尺)对称地支撑在两个刀刃上,并在其中心受力。*大凹陷发生在其中心。由于仅在梁的某个点施加载荷,因此这种弯曲在整个梁中都是不均匀的,因此将梁的弯曲称为不均匀弯曲。

在均匀弯曲时,将导条对称地放置在两个刀刃上。两个重物吊架悬挂在离刀刃等距离的位置。权重被一一加起来,并得到相应的读数。根据这些读数,确定给定质量的钢筋中点的平均高度(e)。




Experiment Examples

    To find the Young's modulus of the material of a bar by uniform and non uniform bending using,

1. Pin and microscope method

1. Non uniform bending

Consider a bar of thickness d and breadth b is supported symmetrically between two knife edges at a distance l distance apart and loaded with a weight Mg at the center. The depression at the midpoint is given by,

Z = Mgl3 / 48 Y ( bd/ 12 )

The Young’s Modulus of the material of the bar

Y = Mg (l3 / z) / 4bd3

For a constant mass M, the quantity l3/z is a constant from which Y can be calculated.


2. Uniform bending

Consider a bar of thickness d and breadth b is supported symmetrically between two knife edges at a distance l distance apart and loaded with equal weights Mg at the ends at equal distance p from each knife edges. The elevation at the midpoint is given by,

Z = Mgpl2 / 8Y (bd3 / 12)

The Young’s Modulus of the material of the bar

Y = 3 Mgpl2 / 2bd3z



2. Optic Lever Method

1. Non uniform bending

According to the theory of non uniform bending, for a bar of thickness d and breadth b ; supported by two knife edges l distance apart, the depression at the midpoint due to a load M is given by,

Z = Mgl3 / 48 Y (bd3 / 12)

The Young’s Modulus of the material of the bar

Y = Mg (l3 / z) / 4bd3

If the optical lever, scale and laser arrangement are used for measuring the depression, the angle of twist of optic lever

Θ = z / x

Where x is the perpendicular distance to the legs of the optical lever

If y to the shift on the scale arranged at a distance D from the laser of the optical lever then

Θ = y / 2D

Z = xy / 2D

Thus,

Y = Mg / 2bd3x (Dl3 / y)

For a mass M, the quantity Dl3/y is a constant.



2. Uniform bending

Consider a bar of thickness d and breadth b is supported symmetrically between two knife edges at a distance l distance apart and loaded with equal weights Mg at the ends at equal distance p from each knife edges. The elevation at the midpoint is given by,

Z = Mgpl2 / 8Y (bd3 / 12)

The Young’s Modulus of the material of the bar

Y = 3Mg pl2 / 2bd3z

If the optical lever, scale and laser arrangement are used for measuring the depression, the angle of twist of optic lever

Θ = z / x

Where x is the perpendicular distance to the legs of the optical lever

If y to the shift on the scale arranged at a distance D from the laser of the optical lever then

Θ = y / 2D

Z = xy / 2D

Thus,

Y = 3Mgpl2 / bd3xy)






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