1) Find the equivalent spring, N/mm 2) Find the force, F Kl: =7 K5. =11 k K2 =8 X=10 mm К3 -9 K4 =10 К6 -12 •........... ...... ..... .........................
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- A bumper for a mine car is constructed with a spring of stiffness k = 1120 lb/in. (see figure). If a car weighing 3450 lb is traveling at velocity v = 7 mph when it strikes the spring, what is the maximum shortening of the spring?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?A safety valve on the top of a tank containing steam under pressure p has a discharge hole of diameter d(see figure). The valve is designed to release the steam when the pressure reaches the value Pmax If the natural length of the spring, is L and its stiffness is k, what should be the dimension ft of the valve? (Express your result as a formula for h.)
- A small lab scale has a rigid L-shaped frame ABC consisting of a horizontal arm AB (length b = 10 in.) and a vertical arm BC (length c = 7 in.) pivoted al point B. The pivot is attached to the outer frame BCD that stands on a laboratory bench. The position of the pointer al C is controlled by a spring, Jt = 5 lb/in., that is attached to a threaded rod. The pitch of the threads is p = 1/16 in. Under application of load W, 12 revolutions of the nut are required to bring the pointer back to the mark. Calculate the weight W.Repeat Problem 11.3-9. Use two C 150 × 12.2 steel shapes and assume that E = 205 GPa and L = 6 m.(5) A gas engine valve spring is loaded to 35kgf when the valve is closed & 52kgf hen the valve is open. The valve lift is 8mm. The outside diameter is to be from 38mm~45mm, & the permissible stress is 413N/mm2 . Determine: (a) the wire & outside diameter; (b) the number of effective coils; (c) the free length when it is squared & ground.
- Question 4A close-coiled helical spring is to have a stiffness of 90 kN/m and is to exert a maximum force of 3.7 kN. If the mean diameter of the coils is 80 mm, and the maximum stress is not to exceed 300 MPa, calculate the required number of coils and the diameter of the steel rod from which the spring should be made (G=80 GPa).A helical spring has a free length of 203 mm, outside diameter of 115 mm and a wire diameter of 13 mm. It consist of 9.5 coils squared and grounded at the ends. If it is compressed to its solid length, what is the stress in the spring? Let G = 80 GPa.PROBLEM: 4 A helical spring is made from a wire of 11 mm diameter and is of outside diameter 101 mm. The spring has 8 numbers of active coils. If the permissible stress in shear is 480 N/mm2 and the modulus of rigidity is 87 KN/mm2. Find the axial load which the spring can take and the deflection produced.
- For the system of springs shown below derive the formula for the overallstiffness cΣ and calculate the overall displacement s if F=200 N, c1=2300 N/m, andc2=2100 N/m.6.10 - This is a statics problem that deals with ‘Zero-Force Members’.A spring sustains 200 ft-lb of energy with a deflection of 3’’. Assume that the mean coil diameter is 7 times the wire diameter and that the allowable stress is 100ksi. Determine the wire diameter.