2. A support hook was formed from a rectangular bar. Find the stresses at the inner and outer surfaces at sections just above and just below O-B. -210 mm 120 mm 160 mm 400 N B thickness 8 mm = Figure 2 - Problem 2
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- A steel punch consists of two shafts: upper shaft and lower shaft. Assume that the upper shaft has a diameter d1= 24 mm and the bottom shaft has a diameter d2= 16 mm. The punch is used to insert a hole in a 4 mm plate, as shown in the figure. If a force P - 70 kN is required to create the hole, what is the average shear stress in the plate and the average compressive stress in the upper and lower shaft of the punch?Repeat Problem 8.5-22 but replace the square tube column with a circular tube having a wall thickness r = 5 mm and the same cross-sectional area (3900 mm2) as that of the square tube in figure b in Problem 8.5-22. Also, add force P. = 120 N at B (a) Find the state of plane stress at C. (b) Find maximum normal stresses and show them on a sketch of a properly oriented element. (c) Find maximum shear stresses and show them on a sketch of a properly oriented element.A tension member constructed of an L inch angle section (see Table F-4(a) in Appendix F) is subjected to a tensile load P = 12.5 kips that acts through the point where the mid-lines of the legs intersect (see figure part a). Determine the maximum tensile stresser, in the angle section. Recompute the maximum tensile stress if two angles are used and P is applied as shown in the figure part b.
- Solve the preceding problem if F =90 mm, F = 42 kN, and t = 40°MPaThe hollow drill pipe for an oil well (sec figure) is 6,2 in. in outer diameter and 0.75 in. in thickness. Just above the bit, the compressive force in the pipe (due to the weight of the pipe) is 62 kips and the torque (due to drilling) is 185 kip-in. Determine the maximum tensile, compressive, and shear stresses in the drill pipe.Solve the preceding problem if the internal pressure is 3,85 MPa, the diameter is 20 m, the yield stress is 590 MPa, and the factor of safety is 3.0. (a) Determine the required thickness to the nearest millimeter. (b) If the tank wall thickness is 85 mm, what is the maximum permissible internal pressure?
- The stresses acting on a stress element on the arm of a power excavator (see figure) are ax= 52 MPa and txy= 33 MPa (sec figure). What is the allowable range of values for the stress if the maximum shear stress is limited to = 37 MPa?A simply supported wood beam is subjected to point load P at mid-span. The stresses on element C are known to be ??x=-92 psi and txy= -7 psi. Find the principal stresses on the element and show them on a sketch of a properly oriented clement.A capped cast-iron pipe is compressed by a brass rod, as shown. The mil is turned until it is just snug, then add an additional quarter turn to pre-compress the cast-iron pipe. The pitch of the threads of the bolt ap = 52 mils (a mil is one-thousandth of an inch). Use the numerical properties provided. (a) What stresses a and arwill be produced in the cast-iron pipe and brass rod. respectively, by the additional quarter turn of the nut? (b) Find the bearing stress ahbeneath the washer and the shear stress t(in the steel cap.
- An element on the top surface of the fuel tanker in Problem 7.2-1 is in biaxial .is in the and is subjected to stresses a, = 6250 psi and a. = -1750 psi, as shown in the figure. Using Mohr s circle, determine the following: (a) The stresses acting on an element oriented at a counterclockwise angle ? = 550 from the x axis. (b) The maximum shear stresses and associated norm al stresses. Show all results on sketches of properly oriented elements.A plumber's valve wrench is used to replace valves in plumbing fixtures. A simplified model of the wrench (see figure part a) consists of pipe AB (length L. outer diameter D inner diameter dy), which is fixed at A and has holes of a diameter dhon either side of the pipe at B. A solid, cylindrical bar CBD (lengths, diameter^) is inserted into the holes at B and only one force F = 55 lb is applied in the -Z direction at C to loosen the fixture valve at A (see figure part c). Let G = 11,800 ksi, v = 0.30, L = 4 in., a = 4.5 in., d2= 1.25 in., dx= 1 in., and dh= 0.25 in. Find the state of plane stress on the top of the pipe near A (at coordinates A" = 0,Y = Q,Z = d->12), and show all stresses on a plane stress element (see figure part b). Compute the principal stresses and maximum shear stress, and show them on properly rotated stress elementsThree round, copper alloy bars having the same length L but different shapes are shown, in the figure. The first bar has a diameter d over its entire length, the second has a diameter d over one-fifth of its length, and the third has a diameter d over one-fifteenth of its length. Elsewhere, the second and third bars have a diameter Id. All three bars are subjected to the same axial load P. Use the following numerical data: P = 1400 kN, L = 5m,d= 80 mm, E= 110 GPa. and v = 0.33. (a) Find the change in length of each bar. (b) Find the change in volume of each bar.