am E T Cable 4 8M B 3m + 4m T 6m 30⁰ 20KN ↓20KN-m 5KN m A 4 10KN U m Determine the tension in the cable to prevent the structure from rotating about A (EMA=0)
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- A flat belt, of density 1000 kg/m3 has a maximum permissible stress of 2·5 MN/m². Thebelt is 200 mm wide and 12 mm thick.(a) Determine the maximum power that can be transmitted if the ratio of tight-side toslack-side tension is 2. The diameter of the driving pulley is 900 mm and the required speed of the output shaft is955 rev/min(b) Taking the belt thickness into account, determine the required diameter of theoutput pulley. (c) What would the required diameter be, assuming a total slip of 4%? (d) If the mass of the belt was neglected, explain the effect (with reasons) this wouldhave on the maximum power calculated in (a)A torque of T=2kNm and a torque of M=1kNm are applied to the thin-walled pressure tank as shown in the figure. Calculate the maximum internal pressure (p) that can be applied to the tank according to the von Mises distortion energy theory, with the radius of the tank r=50mm, the wall thickness t=3mm and the safety factor n=2.3. The yield strength of the tank material is Sut=380MPa.A 12cm x 16cm air compressor is operated with a maximum pressure of 10 kg/cm2. There are5 bolts with a yield value of 64ksi holding the cylinder head to the compressor. Determine the tensile stress of the bolt.
- The length of the smooth circular shaft with a solid cross-sectional area of 315nm2 is 1 meter. Instead of this shaft, it is desired to use an evacuated circular-section shaft with a wall thickness of 3 mm with the same length and weight. For these two cases, compare the angles of rotation that would occur if a moment M = 600 (N.m) was applied to the end of the shaft made of material G-80 GPa.The connection between an electric motor and a construction machine shaft is provided by means of a rigid coupling with flanges, through which the moment is transferred via the coupling flanges.The power of the electric motor is 35kw and the speed is 870rpm. The coupling flanges are connected with three bolts of quality 5.6 with a placement diameter of 40 mm.The surface pressure safety stress for bolts is 16 MPa. The contact length of the bolt with the coupling flange is 12 mm. The coefficient of friction on the flange surfaces is 0.14; the operating factor for the coupling is 0.8. The working conditions of the contact element, the material properties are very well known; since force and stress analyses can be performed with high accuracy,; question) Determine the bolt that should be used in the clutch from the table.A generator driven by a wind turbine is required to deliver 5 MW of power at the generator terminals. The turbine is a two-blade propeller rotating about a horizontal axis and the maximum permitted shear stress of the turbine shaft is 55x106 N/m2 The rotor is designed to operate at a rotational speed of 45 revolution per seconds .The stage efficiencies are Cp 0.32, ngb = 0.90, ng = 0.92. %3D . (i) If the turbine delivers its rated power at a wind average speed of 22 m/s, calculate the corresponding diameter of the propeller and its TSR, assuming a typical value for the overall efficiency. The air density may be assumed to have a value 1.29 kg/m³. (ii) Calculate the torque on the turbine shaft.
- A cylindrical pressure vessel has an inner diameter of 4 ft and a thicknessof 1 2 in. Determine the maximum internal pressure it can sustain so that neither its circumferential nor its longitudinal stress component exceeds 20 ksi. Under the same conditions, what is the maximum internal pressure that a similar-size spherical vessel can sustain?A vertical shaft 25 mm diameter and 0.75 m long is mounted in long bearings and carries a pulleyof mass 10 kg midway between the bearings. The centre of pulley is 0.5 mm from the axis of theshaft. Find (a) the whirling speed, and (b) the bending stress in the shaft, when it is rotating at 1700r.p.m. Neglect the mass of the shaft and E = 200 GN/m2.If the width of the wedge used in the 3 cm diameter shaft, which transmits the motion received from the 34 - 3 HP motor at 400 rpm, is 8 mm and the length is 24 mm, what is the shear stress acting on this wedge?A) 186.5 daN / cm2B) 193.9 daN / cm2C) 93.25 daN / cm2D) 139.9 daN / cn2E) 168.5 daN / cm2
- Q2. A mild steel shaft transmits ‘P’ kW at ‘N’ r.p.m. It carries a central load of 900 N and is simply supported between the bearings 2.5 metres apart. Determine the size of the shaft, if the allowable shear stress is 42 MPa and the maximum tensile or compressive stress is not to exceed 56 MPa. Power P in KW= 25 , Speed N in rpm=1503.4 A storage tank is 5 m in diameter, 4 m high and the density of the fluid itcontains is 795 kg/m3. Determine the required wall thickness if the yieldstress of the material is 325 MPa, the factor of safety is 10 and the efficiency ofthe longitudinal joint is 80 %.Repeat Prob. 4.152 assuming that the 400-kN force is applied at O instead of L.