... By the application of photographs. The stress will be maximum at the top and bottom points, at the root of the fillets in the thinner portion of the part. 1. It has been found that … 2. %PDF-1.5 Only bending is present, and the moment is small, but the diameter is small and the stress concentration is high for a sharp fillet required for a bearing. The material near the edges is stressed considerably higher than the average value. Actual Stress = Stress Concentration Factor K x Stress Calculated This is why it is recommended that inside radiuses be a minimum of 1 x thickness. ��!����D �~||p���O����Ո��z5�q�$��L8"Y��;:�Cп@>�:5v���2��3tb�+�k�����)P�����.gJ,q�v�RɭmH����'�l�. The paper is concerned with the problem of stress concentration in cruciform fillet welded joints subjected to axial and bending load. The multiplier is influenced by two principle factors; the size of the discontinuity and radius at its root. The stress concentration factor, denoted K t, can be defined as the ratio of highest stress in the part to the reference stress. 4.2). A transmission shaft with a keyway is shown in Fig. A ring insert could be used, but this needs an … The same holds true for holes and the slots. Using d/D = 0. In practice, the fillet radius is limited by the design of mating components. The shoulder creates a change in the cross-section of the shaft, which results in stress concentration. Effect of stress concentration on the material in case of static loading and cyclic loading. These forces act either at a point or over a small area of the component. Fillet Radius, Undercutting and Notch for Member in Bending: A bar of circular cross-section with a shoulder and subjected to bending moment is shown in Fig. Typically, at corners, the inside radius is 0.5 x material thickness and the outside radius is 1.5 x material thickness. The severity of stress concentration is reduced by three methods: (a) Use of multiple notches, (b) Drilling additional holes; and (c) Removal of undesired material. The maximum stress felt near a crack occurs in the area of lowest radius of curvature. Fillet Abrupt change Stress “flow lines” crowd High stress concentration Smoother change “Flow lines” less crowded Lower stress concentration. Ball bearings, gears or pulleys are mounted against this shoulder. As the radius … P=5000 lb P=5000 lb 2” ¼” HOLE THRU ¼” THICK ¼ 2” ¼ Cross-section with the hole ¼. 4 0 obj The stresses induced in the neighborhood are much higher than the stress induced in the other part of the component. The exact value is K t = 2. Reduction of Stress Concentration in cylindrical members with holes. At last, the stress concentration factors for various D/d ratios A stress concentration factor is an intensification multiplier by which stress rises due to a discontinuity, which may be a notch, hole, groove or a change in material. A stress concentration factor is the ratio of the highest stress (s max)) to a reference stress (s) of the gross cross-section. Reduction of Stress Concentration in Threaded Members: A threaded component is shown in Fig. Shoulder Fillet Radius For the design of shaft following two methods are adopted: Fillet is a rounding of an inner or outer corner of a part Design based on strength: In this method, design is design. In addition to reducing stresses, fillet radiuses provide streamlined flow paths for the molten plastic resulting in easier fills. Certain features of machine components such as oil holes or oil grooves, keyways and splines, and screw threads result in discontinuities in the crosssection of the component. Krscanski and Turkalj14 developed stress concentration factor utilizing FEM for fillet weld of (Circular Hollow Section) CHS-plate T-joint. It is observed that the force flow line is bent as it passes from the shank portion to the threaded portion of the component. present study shows that the minimum stress concentration factor found where the fillet radius (r) is equal to fillet height (h). A stress concentration (also called a stress raiser or a stress riser) is a location in an object where the stress is significantly greater than the surrounding region. As an example, consider a shaft with D = 100 mm and a notch with radius = 5 mm and depth t = 5 mm (a semi-circular notch). A part free from any irregularities has a value near one, while a part with maximum irregularities or discontinuity has a value greater than one. ABSTRACT In this work stress concentration factors (SCFs), Kt for a round bar with a fillet are considered on the basis of exact solutions, now available for special cases, ... (iv) The fillet shape is classified into several groups according to the fillet radius and fillet depth. torsional, or combined loads. (b), a small undercut is taken between the shank and the threaded portion of the component and a fillet radius is provided for this undercut. Now we can see that the smaller diameter shafts meet the center portion of our roller support with a relatively abrupt radius. A. K. Sengupta MET 301: Stress concentration 4/6. In order to mount gears, sprockets, pulleys, and ball bearings on a transmission shaft, steps are cut on the shaft and shoulders are provided from assembly considerations. (a). Fig. In this case, the force flow line is almost straight and there is no stress concentration. A value of 0sets Knand Kbto 1.0. Mechanical Subjectwise Basic Concept Notes ,Articles, Technical Mechanical Interview Question and Answers. A notch results in stress concentration. Starting from the constant-radius notch, material is added by the software, causing the fillet to extend in the direction of the applied stress. Theoretical stress concentration factor (K:) D D r/d 0.08 0.12 0.16 0.18 0.20 0.24 0.28 TITTIT 1.01 1.02 1.05 1.10 1.15 1.20 1.50 2.00 1.27 1.38 1.53 1.65 1.73 1.82 2.03 2.14 0.10 1.24 1.34 1.46 1.56 1.63 1.68 1.84 1.21 1.30 1.42 1.50 1.56 1.62 1.80 1.89 1.17 1.26 1.36 1.43 1.46 1.51 1.66 1.74 1.16 … (c). For torsion, the SCFs for the fillets are from a mathematical analysis. The methods of reducing stress concentration in cylindrical members with shoulders hole, subjected to tensile load. Stress concentrations occur when there are irregularities in the geometry or material of a structural component that cause an interruption to the flow of stress. The keyway is a discontinuity and results in stress concentration at the corners of the keyway and reduces torsional shear strength. So the ratio of the fillet 1 0 obj (a) Contact between the meshing teeth of the driving and the driven gear, (b) Contact between the cam and the follower, (c) Contact between the balls and the races of ball bearing, (d) Contact between the rail and the wheel, (e) Contact between the crane hook and the chain. From the moment diagram, From Fig. As we know that smaller the fillet radius (r) or larger the D/d ratio, results into high SCF. <> Basically, for example, if the radius for the fillet is larger it will have lower stress value then a smaller radius or no radius applied at all. ... K,t – Stress Concentration Factor. It is observed that a single notch results in a high degree of stress concentration. x��=ks7��S���OW�I ��٤\�gֹ�n����U�(j$qC� The results show that stress concentration factors close to one can be achieved even for bars with significant variations in cross-section. endobj The stress concentration factor K t = 2.65 determined by finite element analysis gives the fatigue notch factor K f = 2.20 (or K f max = 2.50) in the case of A-36 mild steel (with a* = 0.025 mm, see Fig. By providing notches or undercut at the sharp corners. M����D�s�����8 �k��1�f`����+' �ZFl'�]9h������JAg3���P aT�=��w��ˆ�Zg�~o�)0l����.%�{��`�af��`{k��n��|t��~p��* Hydraulic seals - Definition, Types, Diagram , Function, Failure, Application. 4. 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