Find the equivalent spring constant of a uniform mild steel rod length of 2.5 m, cross-sectional area of 100 cm2 and Young's modulus of 210 GPa subjected to an axial tensile (or compressive) force F= 500 N.
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Find the equivalent spring constant of a uniform mild steel rod length of 2.5 m, cross-sectional area of 100 cm2 and Young's modulus of 210 GPa subjected to an axial tensile (or compressive) force F= 500 N.
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- A bumping post at the end of a track in a railway yard has a spring constant k = 8.0 MN/m (see figure). The maximum possible displacement d or the end of the striking plate is 450 mm. What is the maximum velocity vmaxthat a railway car of weight W = 545 kN can have without damaging the bumping post when it strikes it?Figure 1.29 shows the suspension system of a freight truck with a parallel-spring arrangement. Find the equivalent spring constant of the suspension if each of the three helical springs is made of steel with a shear modulus G = 100 GPaand has 10 effective turns, mean coil diameter D = 50 cm, and wire diameter d = 5 cmA closely coild spring of 20 cm mean diameter is having 25 coils of 2 cm diameter modulus of rigidity of the material is 10^7 N/cm^2. What is the stiffness of the spring?
- A spring with squared and ground ends is used for a load and deflection of 1.2 kN and 20 mm, respectively, with a spring index of 4. The wire diameter is 6 mm and the modulus of rigidity is 84 GPa. Which of the following is the active number of turns of the spring?A square end compression helical spring has an operation load range of 3.5KN to 4.2KN.The deflection for the load range is 8mm and the spring index is 6.if the permissible shear stress and module of rigidity for the material of the spring are 380MPa and 90pa respectively, including the effect of the wire curvature. Design the spring by, determine (A)wire diameter (B) mean coil diameter (C) number of active turns (D)total number of turnsA closed-coil helical spring is to have stiffness of 900 N/m in compression with a maximum load of 45 N and a maximum shearing stress of 120 N/mm2.The length of the spring is 45 mm. find the wire diameter, mean coil radius and the number of coils. Take C= 40000 N/mm2
- 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?An 18 coils helical spring having a load of 100kg. The modulus of elasticity in shear of spring is 96.62 GPa, OD of 9.256 cm and with wire diameter of 9.525 mm. The spring is squared and ground ends. Compute for the following respectively : 1) number of effective coils 2) spring index 3) axial load 4) deflection (mm)4 helical springs is used in a suspension system of a motorcycle. The mean coil diameter is 15 cm, spring constant is 40,000 N/m, shear modulus = 80x10^9 N/(m^2), and has 8 effective turns. Determine what must be the wire diameter of the helical spring.
- In a compound helical spring, the inner spring is concentric with the outer spring, but is 9 mm shorter. The outer spring has ten coils of mean diameter 24 mm, and the wire diameter is 3 mm. Find the stiffness of the inner spring if an axial load of 150 N causes the outer spring to compress 18 mm. If the mean coil diameter for the inner spring is 15.94 mm, find the wire diameter of the inner spring when it has eight coils. Both the springs are made of the same material having G = 77 GPa.Design a close coiled helical compression spring for a service load rangingfrom 2500 N to 3000 N. The axial deflection of the spring for the load range is 5 mm. Assume aspring index of 4. The permissible shear stress intensity is 450 MPa and modulus of rigidity,G = 84 kN/mm2.A hollow circular shaft of inner radius 20 mm, outer radius 40 mm and length 1 m is to be used as a torsional spring. If the shear modulus of the material of the shaft is 150 GPa, Calculate the torsional stiffness of the shaft (in kN-m/rad) is