Q2: Consider the steel spring in the illustration. (a) Find the pitch, solid height, and number of active turns. (b) Find the spring rate. Assume the material is A228 music wire. (c) Find the force F, required to close the spring solid. (d) Find the shear stress in the spring due to the force F.. 120 mm IVV 3.4 mm 50 mm
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- Solve the preceding problem for the following data: diameter LO m, thickness 48 mm, pressure 22 MPa, modulus 210 GPa. and Poisson's ratio 0.29Solve the preceding problem for the following data: b = 6 in., b = 10 in, L = 110 ft, tan a = 1/3, and q = 325 lb/ft.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 round bar ABC of length 2L (see figure) rotates about an axis through the midpoint C with constant angular speed w (radians per second). The material of the bar has weight density y. (a) Derive a formula for the tensile stress a’ in the bar as a function of the distance x from the midpoint C. (b) What is the maximum tensile stress a max?As figure show are depicts the cross-section of a closed-end cylinder with an internal diameter of 0.2 m and an exterior diameter of 0.4 m with a thick-walled pressure vessel (closed-end cylinder) with an internal diameter of 0.2 m and an external diameter of 0.4 m. Both internal and external pressures, Pi and P, are applied to the pressure vessel. Find the following given P. = 10 MPa:a). The internal pressure Pi, which will result in a 150 MPa tensile hoop stress at point B, which is in the middle of the cylinder wall.b). Draw all of the stress distributions over the wall thickness and their stress values on the cylinder's inner and outer surfaces.c). The longitudinal tension that the cylinder is subjected to.For the two-cell tube, the rate of twist is 5 degree/meter. G=20 GPa, if a is 10 cm and t equals to 4 mm, find the maximum shear stress in the walls.
- A column is installed on two bearings and carries a pulley weighing 550 in the vertical direction in the middle of us in the figure. The pulley is connected to the shaft by means of a cog, and the pulley moves the transmission belt in the horizontal direction, the total tension in it is (3500), so if the received power is (15KW) at the speed (150rpm), find the diameter of the shaft required by imposing the permissible shear stress of 140MPa, and in tensile or bending it is equal to 220MPaA safety valve (pressure relieve valve) on top of a pressure vessel containing steam under pressure p = 2 MPa, has a discharge hole of diameter d = 10 mm as shown in the figure below. The valve is designed to release the steam when the pressure reaches the maximum allowable value pmax = 2.23 MPa. If the free height (i.e., uncompressed height) of the spring hfree = 135 mm and its spring stiffness k = 5 kN/m, what should be the dimension h of the valve?A journal bearing has 8 cm diameter and length to diameter ratio of 3. Find the projected area in mm² . A. 19,200 B. 20,009 C. 18,058 D. 17,017 Refer Machine Elements and Stresses Equations from the figure. Please solve the Problem elaborately. Your solution will be use as reference for my studies. Thank you so much your work will be appreciated much!
- In the given fig 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 = 120GPaand has five effective turns, mean coil diameter D = 50 cm, and wire diameter d = 5 cm4-Find the stresses in each direction, also find the change in volume of the block of dimension 110 mm x 50 mm x 31 mm, subjected to 3 mutually perpendicular loads. The load along length, breadth and depth directions are 22 kN (tensile), 30 kN (compressive), 22 kN (compressive) respectively. Take E as 100 GPa, Poisson’s ratio as 0.3 The stress along length direction (Unit in MN/m2)= _____________ The compressive stress along width direction (Unit in MN/m2)= _____________ The compressive stress along depth direction (Unit in MN/m2)= _____________ The change in volume of the block is (unit in mm3) = ______________One side of a petrol drill pipe, as shown in the figure, has been lifted with the use of a crane P force. The outer diameter of the pipe is d0=114 mm and the inner diameter is di=92 mm. The total length of the pipe is L=9 m. The weight of the unit length of the pipe is q=280 N/m. For the inclination angle of the pipe axis θ=300,(a) Draw the cross-sectional diagram of the pipe,(b) Find the cross-sectional effects that pass through B and act on the cross section perpendicular to the pipe axis,(c) Find the principal normal stresses and the maximum shear stress at the B point of the pipe. Note: Maximum area static moment of the pipe section Qmax=(d03-di3)/12 (here Q,, τ=VQ/It).