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Find the transfer function and poles of the system represented in state space here. [Section: 4.10]
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Chapter 4 Solutions
CONTROL SYSTEMS ENGINEERING - WILEYPLUS
- 2.2 (A). If the maximum stress allowed in the copper of the cable of problem 2.1 is 60 MN/m2, determine the maximum tension which C3.75 kN.1 10:41 مarrow_forward1.1 (A). A 25mm squarecross-section bar of length 300mm carries an axial compressive load of 50kN. Determine the stress set up ip the bar and its change of length when the load is applied. For the bar material E = 200 GN/m2. [80 MN/m2; 0.12mm.larrow_forward2.1 (A). A power transmission cable consists of ten copper wires each of 1.6 mm diameter surrounding three steel wires each of 3 mm diameter. Determine the combined E for the compound cable and hence determine the extension of a 30 m length of the cable when it is being laid with a tension of 2 kN. For steel, E200 GN/mZ; for copper, E = 100 GN/mZ. C151.3 GN/mZ; 9.6 mm.] 10:41 مarrow_forward
- question 662 thank youarrow_forward1.5 (A). A simple turnbuckle arrangement is constructed from a 40 mm outside diameter tube threaded internally at each end to take two rods of 25 mm outside diameter with threaded ends. What will be the nominal stresses set up in the tube and the rods, ignoring thread depth, when the turnbuckle cames an axial load of 30 kN? Assuming a sufficient strength of thread, what maximum load can be transmitted by the turnbuckle if the maximum stress is limited to 180 MN/mz? C39.2, 61.1 MN/m2, 88.4 kN.1arrow_forward1.3 (A). Define the terms shear stress and shear strain, illustrating your answer by means of a simple sketch. Two circular bars, one of brass and the other of steel, are to be loaded by a shear load of 30 kN. Determine the necessary diameter of the bars (a) in single shear, (b) in double shear, if the shear stress in the two materials must not exceed 50 MN/m2 and 100 MN/ mZ respectively. C27.6, 19.5, 19.5, 13.8mm.l 11arrow_forward
- 1.4 (A). Two forkend pieces are to be joined together by a single steel pin of 25mm diameter and they are required to transmit 50 kN. Determine the minimum cross-sectional area of material required in one branch of either fork if the stress in the fork material is not to exceed 180 MN/m2. What will be the maximum shear stress in the pin? C1.39 x 10e4mZ; 50.9MN/mZ.] 10:41arrow_forward1.2 (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.1arrow_forward1.11 (a) A test piece is cut from a brass bar and subjected to a tensile test. With a load of 6.4 kN the test piece, of diameter 11.28 mm, extends by 0.04 mm over a gauge length of 50 mm. Determine: (i) the stress, (ii) the strain, (hi) the modulus of elasticity. (b) A spacer is turned from the same bar. The spacer has a diameter of 28 mm and a length of 250mm. both measurements being made at 20°C. The temperature of the spacer is then increased to 100°C, the natural expansion being entirely prevented. Taking the coefficient of linear expansion to be 18 x 10-6/"C determine: (i) the stress in the spacer, (ii) the compressive load on the spacer. [C.G.] [64MN/m2, 0.0008, 80GN/m2, 115.2 MN/m2, 71 KN.] 10:41arrow_forward
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