Clamping edge

Let us consider a thin homogeneous isotropic beam of thickness 2s. We assume that the beam mid-line coincides with the segment (0,1) of the axis X. At the point y = 1/2, the beam has an inclined cut as a segment having the angle a with the vertical line, 0 < tana < 2e). We look for the function % = (W, w) of horizontal displacements W(x) and vertical displacements w(x) provided that the external forces g(x),f(x) are given. The condition of clamped edges... 

Solution The top of the bottle cap is effectively a plate with clamped edges. The central deflection in such a situation is given by Benham et al. as... 

Boundary conditions used to be thought of as a choice between simply supported, clamped, or free edges if all classes of elastically restrained edges are neglected. The real situation for laminated plates is more complex than for isotropic plates because now there are actually four types of boundary conditions that can be called simply supported edges. These more complicated boundary conditions arise because now we must consider u, v, and w instead of just w alone. Similarly, there are four kinds of clamped edges. These boundary conditions can be concisely described as a displacement or derivative of a displacement or, alternatively, a force or moment is equal to some prescribed value (often zero) denoted by an overbar at the edge ... 

Figure D-9 Clamped-Edge Boundary Conditions for a Plate...

Figure 13.8. Flat circular plates (a) Clamped edges (b) Simply supported...

Assuming that the magnetic film is thin in comparison to the substrate, the deflection D (piL-d) at the distance L from the clamping edge to the measurement location (fig. 3) is given by... 

The two-rail shear test is only suitable for the determination of shear moduli. The three-rail shear does give a better approximation to pure shear as the compressive load is applied parallel to the clamped edges of the specimen. 

Depth of draw n. In thermoforming, the depth of the lowest point in the formed object relative to the clamped edge of the sheet. Also see draw ratio (2). 

Uniformly Loaded Flat Circular Plate Simply Supported AT THE Edge. The condition of the circular plate with a clamps edge differs from the condition of a circular plate freely supported by the bending moment at the edge of the date as given by Eq. 6.52. If this bending moment is removed, spherical dishing will result. 

Equation 6.58 is the deflection equation for pure bendinft of a circular plate with a bending moment at the edge equal and opposite to the bending moment of a uniformly loaded circular plate with clamped edg If the deflections for these two conditions are combined by superposition, the deflection of a uriifonrrily loaded circular plate simply supported at the edges will be obtained. Thus, Eq. 6.48 may be combined with Eq. 6.58 to give (107) ... 

The scheme for another installations is shown on Fig. 9,d. This installation uses a rubber clamp (16), in which the film being studied (2) is placed. The clamps edges (16) are fixed in the frame (12). The pattern (4) is fixed on the frame (12). A shaft (11) on which the system rests consist of a wheel (8) with channels and ferrado (9). A rope (7) is fixed to one edge by a clamp (3) and to a second by a wheel (8). On switching on electrical motor (17), the rope winds on the wheel, to which the rubber clamp is attached and advances the stencil step by step. When the clamp reaches the stencil the stretching of the film is finished, but the ferrado... 

The properties of the GB-elements (materials) are illustrated below on the samples deformed in the arrangement shown on Fig. 9,e. The samples form shows that the change of distanee between clamps edges (3, 6) (Al) exactly correspond to the form and sizes of sample, the inereasing of length and width (Fig. 9,e) in process elongation at (pi and (p2 is described by following equations ... 

In the thermoforming process, waste-free shaping of parts is also possible. For example, the clamping edge stays as a part of the finished drawn part. 

The clamping edges clamp the material for the forming process (in case the semifinished part cannot be clamped between the two mold halves during pre-forming). 

In roll-fed automatic thermoforming machines, the clamping edges are always format parts, which mean that depending on the size of the form segment, the... 

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