4. An aluminum rod is rigidly attached between a steel rod and a bronze rod as shown in Fig. Axial loads are applied at the positions indicated. Find the maximum value of P that will not exceed stress in steel of 140 MPa, in aluminum of 90 MPa, or in bronze of 100 MPa. 18 B10 kN 75 20 OAramak için buraya yazın
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- Three 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.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 elevated jogging track is supported at intervals by a wood beam AB (L = 7.5 ft) that is pinned at A and supported by steel rod BC and a steel washer at B. Both the rod (dBC= 3/16 in.) and the washer (dB= 1.0 in.) were designed using a rod tension force of TBC=415 lb. The rod was sized using a factor of safely of 3 against reaching the ultimate stress tru— 60 ksi. An allowable bearing stress sba= 565 psi was used to size the washer at B. A small platform HF is suspended below a section of the elevated track to support some mechanical and electrical equipment. The equipment load is uniform load q = 50 lb/ft and concentrated load WE= 175 lb at mid-span of beam HF. The plan is to drill a hole through beam ABaX £land install the same rod (dBC) and washer) dB) at both D and F to support beam HF. (a) Use s and to check the proposed design for rod DF and washer d,: are they acceptable? (b) Re-check the normal tensile stress in rod BC and bearing stress at 8 if either is inadequate under the additional load from platform HF. Re-design them to meet the original design criteria.
- 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?Two solid cylindrical rods AB and BC are welded together at B and loaded as shown. Take d₁ = 30 mm, d2 = 50 mm, and P = 50 kN. P 0.9 m 125 kN 125 KN B 1.2 m Find the average normal stress at the midsection of rod BC. (Input the answer with the appropriate sign.) The average normal stress at the midsection of rod BC is MPa.Answer the ff correctly. The rectangular bar shown is connected to a support bracket with a 24 mm diameter pin. The width of the rectangular bar is 70 mm and its thickness is 15 mm. The bearing stress in the bar cannot exceed 120 MPa. Determine the maximum value of Pmax that can be supported based solely on consideration of the bearing stress in the bar. Note: This question is not asking about any stresses in the support bracket...just bearing stress in the rectangular bar.
- 3. The vertical force F applied at A is 50 kN. Compute the minimumdiameter of the steel wire, if the allowed elongation on steel wire4mm and its stress is limited to 250 MPa. Use Est = 200 GPa. Answer: d = ___________________Two vertical steel rods support the rigid bar as shown. Initially, the rods are stress-free. Given the data below, determine the stress of rods A and B after the 20 kN load is applied. Neglect the weight of the bar and use E = 200 GPa for steel. L= 3 m D = 3.5 mm A. Stress of rod A (MPa) B B. Stress of rod B (MPa) C. At what temperature AT change would the stresses for both rods be equal? Use a = 11.7 L= 4 m x 10-6 mm/mmC° (C°) D = 5 mm 4m 2m 2m 20 kNA bar, 12 mm in diameter is acted upon by an axial load of 20 kN. The change in diameter is measured as 0.03 mm. DeterminePoisson’s ratioYoung’s modulusBulk modulus Assume modulus of rigidity as 80 GPa
- Two solid cylindrical rods support a load of P = 39 kN, as shown. Rod (1) has a diameter of 16 mm and the diameter of rod (2) is 11 mm. Determine the axial stress in rod 2. Assume a = 2.2 m, b = 4.6 m, c = 2.7 m, and d = 2.4 m. Use positive for tensile stress and negative for compressive stress. Express your answer in MPa rounded to the nearest whole number.The rigid bar AB shown below is supported by a steel rod AC having a diameter of 20 mm, and a block. Ignore the weight of AB and AC, and the distributed load on AB is p = 4.0 KN/m. Determine the axial normal stress developed in AC: = ____ MPa. Calculate your answer to 1 decimal place.(a) Two vertical rods, one of steel and other of copper are each rigidly fixed at the top and 60 cm apart. Diameters and lengths of each of the rod are 3 cm and 3.5 cm, respectively. A crossbar fixed to the rods at the lower ends carried a load of 6000 N such that the crossbar remains horizontal even after loading. Find the stress in each rod and the position of the load on the bar. Take E for the steel as 2 x 10° N/mm² and for copper as 1 x 10° N/mm?.