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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- Repeat Problem 2.3-18, but assume that the bar is made of copper alloy. Calculate the displacements SBand Scif P = 50 kips, L = 5 ft = 3/5 in., b1= 2.75 in., b2= 3 in., and E = 16,000 ksi.Solve the preceding problem if the collar has mass M = 80 kg, the height h = 0.5 m, the length L = 3.0 m, the cross-sectional area A = 350mm2. and the modulus of elasticity E = 170 GPa.A small lab scale has a rigid L-shaped frame ABC consisting of a horizontal aim AB (length b = 30 cm) and a vertical arm BC (length c = 20 cm) pivoted at point B. The pivot is attached to the outer frame BCD that stands on a laboratory bench. The position of the pointer at C is controlled by two parallel springs, each having a spring constant k = 3650 N/m. that are attached to a threaded rod. The pitch of the threads is p = 1.5 mm. If the weight is 65 N. how many revolutions of the nut are required to bring the pointer back to the mark?
- A steel helical compression spring of an average coil diameter of 16 mm with a wire diameter of 1,4 mm and active coils of 6. Assuming Gsteel as 80 GPa, predict (a) the axial load (b) the deflection (c) spring rateDesign 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 10mm, outer radius 20mm and length 1m 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).
- Find the length of elongation of a uniform mild steel rod length of 3 m, cross-sectional area of 150 cm2 and Young's modulus of 100 GPa subjected to an axial tensile (or compressive) force F= 200 N.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?A helical spring composed of 20 turns of 20mm diameter wire on a mean radius of 80mm when the spring is supporting a load of 2kN. (G=83,000 GPa) Compute for the following respectively : 1) stress factor 2) shear stress (MPa)
- 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) isQ.5 A concentric spring for an aircraft engine valve is to exert a maximum force of 5000 N under an axial deflection of 40 mm. Both the springs have same free length, same solid length and are subjected to equal maximum shear stress of 850 MPa. If the spring index for both the springs is 6,Find:1. The load shared by each spring2. The main dimensions of both the springs3. The number of active coils in each spring.Q.6 A semi-elliptical laminated spring is made of 50 mm wide and 3 mm thick plates. The length between the supports is 650 mm and the width of the band is 60 mm. The spring has two full length leaves and five graduated leaves. If the spring carries a central load of 1600 N,Find :1. Maximum stress in full length and graduated leaves for an initial condition of no stress in the leaves.2. The maximum stress if the initial stress is provided to cause equal stress when loaded.3. The deflection in parts (1) and (2)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)