A single shear lap-joint connection is shown in the figure, If P-10,825 N, d-22 mm, and t-38 mm, determine the tensile stress in the upper plate at section b-b, in MPa? a be 300mm →P 9 6 c
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- The 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.A hollow, circular, cast-iron pipe (Ec =12,000 ksi) supports a brass rod (Ec= 14,000 ksi} and weight W — 2 kips, as shown. The outside diameter of the pipe is dc= 6 in. (a) If the allowable compressive stress in the pipe is S00O psi and the allowable shortening of the pipe is 0.02 in., what is the minimum required wall thickness trmm? (Include the weights of the rod and steel cap in your calculations.) (b) What is the elongation of the brass rod Srdue to both load Wand its own weight? (c) What is the minimum required clearance h?A spherical balloon is filled with a gas. The outer diameter of the balloon is 20 in. and the thickness is 0,012 in. Calculate the maximum permissible pressure in the balloon if the allowable tensile stress and the allowable shear stress in the balloon are 1 ksi and 0.3 ksi, respectively.
- Two steel rods are welded together (see figure): the seam is oriented at angle ? = 50°. The stresses on the rotated element are sx1=10 ksi, sy1= -12 ksi, and tx1y1= -5 ksi. Find the state of plane stress on the clement if it is rotated clockwise to align the x3 axis with the longitudinal axis of the rods.Two boards are joined by gluing along a scarf joint, as shown in the figure. For purposes of cutting and gluing, the angle a between the plane of the joint and the faces of the boards must be between 10° and 40f. Under a tensile load P, the normal stress in the boards is 4.9 MPa. (a) What axe the normal and shear stresses acting on the glued joint if a = 20°? (b) If the allowable shear stress on the joint is 2.25 MPa. what is the largest permissible value of the angle ct? (c) For what angle a with the shear stress on the glued joint be numerically equal to twice the normal stress on the joint?A tie-down on the deck of a sailboat consists of a bent bar boiled at both ends, as shown in the figure. The diameter dBof the bar is 1/4 in., the diameter D Wof the washers is 7/8 in., and the thickness is of the fiberglass deck is 3/8 in. If the allowable shear stress in the fiberglass is 300 psi, and the allowable bearing pressure between the washer and the fiberglass is 550 psi, what is the allowable load P allowon the tie-down?
- A simply supported beam is subjected to point load P at mid-span. The normal stress on an element at mid-span is known to be ??x= 1.5 ksi. Determine the element stresses lilt is rotated through angle ? = 450• Show these stresses on a sketch of an element oriented at that angle.A pressurized circular cylinder has a sealed cover plate fastened with steel bolts (see figure). The pressure P of the gas in the cylinder is290psi, the inside diameter D of the cylinder is 10.0 in., and the diameter dBof the bolts is 0.50 in. I f the allowable tensile stress in the bolts is 10,000 psi, find the number n of bolts needed to fasten the cover.Solve the preceding problem if F =90 mm, F = 42 kN, and t = 40°MPa
- A tension member is to be constructed of two pieces or plastic glued along plane pq (see figure). For purposes of cutting and gluing, the angle ?? must be between 25 and 45. The allowable stresses on the glued joint in tension and shear are 5.0 MPa and 3.0 MPa, respectively (a) Determine the angle it so that the bar will carry the largest load P. (Assume that the strength of the slued joint controls the design.) (b) Determine the maximum allowable load ?? if the cross-sectional area of the bar is 225Continuous cable ADS runs over a small Frictionless pulley at D to support beam OABC that is part of an entrance canopy Tor a building (see figure}. Assume that the canopy segment has a weight it' = 1700 lb. (a) Find the required cross-sectional area of cable ADB if the allowable stress is 18 ksi. (b) Determine the required diameter of the pins at O. A, R and D if the allowable stress in shear is 12 ksi.A simply supported wood beam is subjected to point load P at mid-span. The normal stress on element C is known to be sx= 12 MPa. Find the maximum shear stress on the element and show the state of stress on a sketch of a properly oriented element.