Question

In: Mechanical Engineering

A vertical close coiled helical spring must have a stiffness of 4,3 kN/m. The maximum shear...

A vertical close coiled helical spring must have a stiffness of 4,3 kN/m. The maximum shear stress of 130 MPa is induced by a load of 720 N. With the spring fully compressed, the vertical height over the coils is 250 mm. If G = 79 GPa, calculate:

3.1 the required wire diameter for the spring;

3.2 the mean coil diameter and the number of coils.

Solutions

Expert Solution


Related Solutions

Example 1. A horizontal platform rests on four vertical springs, each of stiffness 15 kN/m. What...
Example 1. A horizontal platform rests on four vertical springs, each of stiffness 15 kN/m. What will be the frequency of oscillation of the table if it has a mass of 2 kg? Determine also the angular frequency and the periodic time. (27.6 hz, 173 rad/s, .036 s )
What is the maximum tension (kN) on a cable carrying 2.5 kN/m uniform load if the...
What is the maximum tension (kN) on a cable carrying 2.5 kN/m uniform load if the lowest point of the cable is 40m and 3m away from the one of the support along the horizontal and vertical direction respectively? Round off to 3 decimal places.
A mass of 1.62 kg stretches a vertical spring 0.318 m. If the spring is stretched...
A mass of 1.62 kg stretches a vertical spring 0.318 m. If the spring is stretched an additional 0.137 m and released, how long does it take to reach the (new) equilibrium position again? ______s
A 1 3 -kg mass is attached to a spring with stiffness 4 N/m. The damping...
A 1 3 -kg mass is attached to a spring with stiffness 4 N/m. The damping constant for the system is 2 N-sec/m. The mass is displaced 1 2m to the left and given an initial velocity of 2 m/s to the right. (a) Determine the equation of the motion of mass and express it in the form A e αt sin(βt + φ) by finding the constants A, α, β and φ in radians. (b) Find the time t...
A 3-kg mass is attached to the end of a coil spring with stiffness k=48N/m ....
A 3-kg mass is attached to the end of a coil spring with stiffness k=48N/m . The mass is then pulled down 0.5m (from its equilibrium position) and released at t = 0 with an initial velocity of 2 m/sec directed upward. Neglect the resistance of the medium. a) Determine the resulting displacement and velocity as functions of time. b) Find amplitude, period and frequency of the motion. c) At what time does the weight first pass through the equilibrium...
1. A vertical spring has a spring constant of 2500 N/m. A ball with a mass...
1. A vertical spring has a spring constant of 2500 N/m. A ball with a mass of 0.25 kg is on top of the spring. Use energy conservation to answer the following questions. Sketch the situation for each part. A. If the spring is compressed 8.3 cm how much energy is stored in the spring? B. When you release the spring, it pushes the ball upward. What is the speed of the ball at the instant it leaves the spring?...
Design a straight ended helical torsion spring for a static load 200 N-m at a deflection...
Design a straight ended helical torsion spring for a static load 200 N-m at a deflection of 45 deg with a safety factor of 1.8. Specify all parameters necessart to manufacture the spring state all assumntions. You make the following design choices: *Use unpeened oil tempered wire with 40mm long, straight ends. The coil is loaded to close it * Design safety factory Nyd=1.8 *spring index C=11 *Yield Strength Factor K=0.85 *length of the ends L1=40 mm=L2 *Material choice =...
A vertical spring (ignore its mass), whose spring constant is 825 N/m , is attached to...
A vertical spring (ignore its mass), whose spring constant is 825 N/m , is attached to a table and is compressed down by 0.160 m. A)What upward speed can it give to a 0.360-kg ball when released? Express your answer to three significant figures and include the appropriate units. B) How high above its original position (spring compressed) will the ball fly? Express your answer to three significant figures and include the appropriate units.
A 195 g block is pressed against a spring of force constant 1.55 kN/m until the...
A 195 g block is pressed against a spring of force constant 1.55 kN/m until the block compresses the spring 10.0 cm. The spring rests at the bottom of a ramp inclined at 60.0° to the horizontal. Using energy considerations, determine how far up the incline (in m) the block moves from its initial position before it stops under the following conditions. (a) if the ramp exerts no friction force on the block _______m (b) if the coefficient of kinetic...
A 195 g block is pressed against a spring of force constant 1.60 kN/m until the...
A 195 g block is pressed against a spring of force constant 1.60 kN/m until the block compresses the spring 10.0 cm. The spring rests at the bottom of a ramp inclined at 60.0° to the horizontal. Using energy considerations, determine how far up the incline (in m) the block moves from its initial position before it stops under the following conditions. (a) if the ramp exerts no friction force on the block m (b) if the coefficient of kinetic...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT