22: The springs connecting with a rigid weightless bar as hown. The stiffness of beam (Kb) is 5 kN/m and the tiffness of all the springs (K) are 4 kN/m. Find the natural requency for the system. K Im Im 3m K
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- Design a helical spring to be used in spring balance with a wire diameter of 6mm and the outside diameter should be limited to 66mm. if the permissible shear stress of the spring material is 325 N/mm? and the Modulus of rigidity is 85kN/mm?. a) Compute the deflection of spring per active turn and the axial load on the spring considering the effect of curvature, take Wahl's factor as Kw= 1.1 b) Calculate the value of axial load neglecting the effect of stress factor. **Note: Please upload your handwritten working/solution to the link provided. The value of Mean diameter of the spring in mm . The Spring Index is. Shear stress factor, neglecting curvature effect . Deflection per active turn in mm Axial Load W in N .. Axial Load W in N. considering effect of curvature .1. Design a compression helical spring to cary a load of 500 N with a deflection of 25 mm. The spring index may be taken as 8. Assume the following values for the spring material: Permissible shear stress 350 MPa Modulus of rigidity = 84 kN/mm2 4C – 1 + 4C – 4 0.615 Wahl's factor -, where C= spring index. [Ans. d= 5.893 mm; D=47.144 mm; n 6]1. Design a compression helical spring to carry a load of 500 N with a deflection of 25 mm. The spring index may be taken as 8. Assume the following values for the spring material: Permissible shear stress = 350 MPa Modulus of rigidity = 84 kN/mm2 4С - 1 0.615 Wahl's factor where C-spring index. 4С - 4
- For the spring assemblages shown in Figures 2, determine the node Displacements, the forces in each element, and the reactions. Use the direct stiffness Method for all problems. Su0 KN/ m 2EN 3. 3 3 Suo KNIM Suo EN/m 3. ZEN Fig 23. Compute the deflection of a 18 coils 10-cm diameter helical spring having a load of 100 kg. Wire diameter of spring is 9.5 mm. Use G=90 GPa.Load F In vehicle suspension design it is desirable to minimize the mass of all components. You have been asked to select a material and dimensions for a light spring to replace the steel leaf-spring of an existing truck suspension. The existing leaf-spring is a beam, shown schematically in the figure. The new spring must have the same length L and stiffness k as the existing one, and must deflect through a maximum safe displacement omax without failure. The width b and thickness t are free variables. Use the index you derive to rank the following candidate material for this application using data from Appendix A: High carbon steel, low alloy steel, titanium alloys and CFRP (carbon fiber reinforced epoxy). L HINT: Derive a material index for the selection of a material for this application. Note that this is a problem with two free variables: b and t; and there are two constraints, one on safe deflection Smax and the other on stiffness k. Use the two constraints to fix the values of…
- Q5/ In vehicle suspension design it is desirable to minimize the mass of all components. You have been asked to select a material and dimensions for a light spring to replace the steel leaf-spring of an existing truck suspension. The existing leaf-spring is a beam, shown schematically in the figure. The new spring must have the same length L and stiffness S as the existing one, and must deflect through a maximum safe displacement 8max without failure. The width b and thickness t are free variables. L Load F 6= 1 FL³ 48 EI 10₂L² 6 #E 1=bt³/12 8max = Derive a material index for the selection of a material for this application. Note that this is a problem with two free variables: b and t; and there are two constraints, one on safe deflection 8max and the other on stiffness S. Use the two constraints to fix free variables.A helical compression spring is 1o exert a force of 8.0 Ib when compressed 1o a length of 1.75 in. At a length of 1.25 in, the force must be 12.0 Ib. The spring will be installed in a machine that cycles slowly. and approximately 200 000 cycles total are expected. The tem- perature will not exceed 200°F. The spring will be installed in a hole having a diameter of 0.75 in. For this application. specify a suitable material, wire diameter. mean diameter. OD. ID. free length, solid length. number of coils, and type of end condition. Check the stress at the maximum operating load and at the solid length condition. The first of two solution procedures will be shown. The numbered steps can be used as a guide for future problems and as a Kind of algorithm for the spreadsheet approach that follows the manual solution.A helical spring is made of 10 m diameter steel wire wound on a 100 mm diameter mandrel. If there are 10 active coils what is spring constant Take: C= 100 GPA What force must be applied to the spring to elongate it by 50 mm?
- B/ A steel robotic arm carries a payload of (444.82 kg) has a dimension of (1.524 m) length, (0.1524 m) height and of (0.102 m) breadth. The steel Young's modulus, (E= 206.85GPA) and density of (p=7.87 kgm'). Find the robotic arm deflection.Consider the spring assemblage shown, using the direct stiffness method do the following: 1. Write the global stiffness matrix 2. Determine the nodal displacements 3. Determine the nodal forces 4. Determine the reaction of supports K1 = 15 kN/m f Node 1 F = 0.675 kN K2 = 45 kN/m No Node 2 X positive to the right vov Node 3 K3 = 15 N/m Node 45. Design a helical compression spring for a maximum load of 1000 N and deflection of 25mm taking Wahl’s factor into consideration. Assume spring index as 5, maximum permissible shear stress for spring wire as 420 MPa and modulus of rigidity as 84 kN/mm2