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- 产品名称：Holmarc Young's Modulus Apparatus
- 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
产品描述
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 ( bd3 / 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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