1.2 (A). A steel tube, 25 mm outside diameter and 12mm inside diameter, cames an axial tensile load of 40 kN. What will be the stress in the bar? What further increase in load is possible if the stress in the bar is limited to 225 MN/mZ? [lo6 MN/m3; 45 kN.1
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- Solve the preceding problem if F =90 mm, F = 42 kN, and t = 40°MPaA 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 specimen used in a coupon test has norm al stress ??. = 15 MPa (see figure). Using Mohr’s circle, find the state of stress on the element oriented at angle ? = 20° and show the full stress state on a sketch of a properly oriented element.
- A brass plate with a modulus of elastici ty E = 16 X 106 psi and Poisson’s ratio a = 0.34 is loaded in biaxial stress by normal stresses r and cry. (sec figure). A strain gage is bonded to the plate at an angle 4 = 350 If the stress o is 10,700 psi and the strain means used by the gageise = 390 X 106.whatisthcmax- imum in-plane shear stress (Tr, ),. and shear strain (>‘ ).? What is the maximum shear strain (y ) in the x-: plane? What is the maximum shear strain (y ).. in the y-r plane?A steel riser pipe hangs from a drill rig located offshore in deep water (see figure). (a) What is the greatest length (meters) it can have without breaking if the pipe is suspended in the air and the ultimate strength (or breaking strength) is 550 MPa? (b) If the same riser pipe hangs from a drill rig at sea, what is the greatest length? (Obtain the weight densities of steel and sea water from Table M, Appendix I. Neglect the effect of buoyant foam casings on the pipe.)A double-decker train. EXERCISES 1. A reciprocating steam engine connecting rod is subjected to a maximum load of 65 kN. Find the diameter of the connecting rod at its thinnest part, if the permissible tensile stress is 35 N/mm. [Ans. 50 mm) 2. The maximum tension in the lower link of a Porter governor is 580 N and the maximum stress in the link is 30 Nimm. If the link is of circular cross-section, determine its diameter. (Ans. 5 mm) Тор Contents Simple Stresses in Machine Parts 117 3. A wrought iron rod is under a compressive load of 350 KN. If the permissible stress for the material is 52.5 Nimm, cakculate the diameter of the rod. JAns. 95 mm) 4. A load of 5 kN is to be raised by means of a steel wire. Find the minimum diameter required, if the stress in the wire is not to exceed 100 N/mm. (Ans. 8 mm) 5. A square tie bar 20 mm x 20 mm in section carries a load. It is attached to a bracket by means of 6 bolts. Calculate the diameter of the bolt if the maximum stress in the tie bar is…
- solve me for all3. A circular bar rigidly fixed at its both ends is 1.2 m long. It uniformly tapers from 100 mm at one end to 75 mm at the other. What is the maximum stress induced in the bar, when its tempera- ture is raised through 25 K? Take E as 200 GPa and a as 12 x 10/K. [Ans. 80 MPa] unifor from 00 to 601. Figure Q2a shows a hollow tube of rectangular cross-section subjected to an axial compressive load of 250 kN. The section dimensions are breadth, b = 0.12 m, depth, d = 0.05 m with an equal thickness on all sides, t = 0.003 m. Calculate the compressive stress σ in the tube. Give your answer in N/mm2 to 2 decimal places.
- The two vertical steel [E = 200 GPa] rods that support rigid bar ABCD are initially free of stress. Rod (1) has an area of A1 = 510 mm? and a length of L1 = 2.6 m. Rod (2) has an area of A2 = 360 mm? and a length of L2 = 1.5 m. Assume dimensions of a = 3.7 m, b = 1.3 m, and c = 1.7 m. After a load of P = 110 kN is applied to the rigid bar at D, determine: (a) the normal stresses in rods (1) and (2) (b) the deflection of the rigid bar at D. y,v (2) L2 a B D x,u Rigid bar b. (1)Determine the normal stress in bar (1) for the mechanismshown in Figure P1.9. The area of bar (1) is 2,600 mm2. The distributedload intensities are wC = 12 kN/m and wD = 30 kN/m. Use thefollowing dimensions: a = 7.5 m and b = 3.0 m.The pin-connectsed structure consists of a rigid bar ABCD and two bronze alloy [E = 100 GPa] bares, each with a cross-sectional area of 340 mm2. bar (1) has a length L1 = 810 mm and bar (2) has a lenght L2 = 1080 mm. Assume dimensions of a = 480mm, b = 38mm, and c = 600mm. If the allowable normal stress in bars (1) and (2) must be limmited to 165 MPa each, determine: a) the maximum load P that may be applied at D to the rigid bar. b) The deflection at D for the load determined in part (a).