Q8. Determine the deflection of point B on the steel beam with I = 80×106 mm4 and E = 200 GPa. [Ans. 11.7 mm]
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- If the maximum length of the spring is 40 cm, what average friction force opposes the motion of the mass?The air temperature inside a hot-air balloon is 80oC, while the surrounding atmospheric air temperature is only 15oC. The mass of the empty-balloon material is 10 kg. When inflated completely, the volume of hot air within the balloon is 5000 m3 . Determine the maximum mass of the load that the balloon can lift from the ground in this situation. Given: ρair (at 15oC) = 1.22 kg/m3 , ρair (at 80oC) = 1.01 kg/m3 . If only 80% of the maximum load mass is used, what would be the balloon’s initial acceleration upward (neglecting any air drag effect)?Consider a floor crane operated by a driver which carries a drum as shown in figure. The total weight of floor crane and driver is 2700 kg acting at the point of center of gravity, G. mm; = 1 = Considering L1 = 14m, L2= 3 m L3 - 6 m, 14 = 2 m LS = 1 m; L6=7m 1. If the weight of the drum lifted by the floor crane is 800 kg, determine the total normal reaction on the rear wheels at A and total normal reaction on the front wheels at B when the boom is inclined at an angle of 25" with the horizontal, 2. Utilizing the same data given above for the same position of boom, determine the largest weight of the drum that can be lifted without causing the crane to overturn. (Hint: When the floor crane tends to overturn about point B, the wheel at A will leave the ground). Note: 1. Consider the entire system as coplanar 2. Take g 9.81 m/s wherever necessary = 9 Total normal reaction on the rear wheels at A= Total normal reaction on the front wheels at B= Largest weight of the drum=
- A pipe of diameter 11 cm conveying 200 liters/s of water has bend of angle (θ = 90⁰if last digit is zero/even and θ = 0⁰ if last digit is odd) through horizontal plane. Find theresultant force exerted on the bend if the pressure at the inlet and outlet of the bend are 15N/cm2 and 10 N/cm2respectively.Ancient pyramid builders are balancinga uniform rectangular stoneslab of weight w, tipped at anangle u above the horizontal, usinga rope (Fig.). The rope isheld by five workers who share theforce equally. (a) If u = 20.0°, whatforce does each worker exert on therope? (b) As u increases, does eachworker have to exert more or lessforce than in part (a), assuming theydo not change the angle of the rope? Why? (c) At what angle do theworkers need to exert no force to balance the slab? What happens if uexceeds this value?How do you find the external forces' resultant and the application point?
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- 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 / cm2Déterminer la différence de pression Pa-Pb pour D1=330mm D2=160mm d3=480mm D4=230mm. Le poids spécifique de l'air est négligeable. Le poids spécifique de eau=9790N/m3Determine the pressure difference pa-pb for d1=330mm d2 =160mm d3=480mm d4=230mDetermine the hydrostatic force exerted on the door AB of dimensions (1m and 0.9m wide) and its point of application Q (distance between A and Q). the specific weight of water is 9790N/m3 and the density of the oil is 0.82m. the specific weight of air is negligible. the specific weight of water is 9790N/m3.P 243 - Determine the relationship between the pressure difference and the relative density for it - For the relationship found, what is the variation for the system to collapse?