What is the magnitude of the maximum deflection (mm to 1 decimal place) of an aluminum diving board with h -35 mm and b =350 mm with a person of mass 100 kg standing at the end. L-2050 mm, L1= 725 mm, E = 71.7 GPa 4 (b) Cantilevered diving board Your Answer: h Answer E
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- A cylindrical brick chimney of height H weighs w = 825 lb/ft of height (see figure). The inner and outer diameters are d1= 3 ft and d2= 4 ft, respectively. The wind pressure against the side of the chimney is p = 10 lb/ft2 of projected area. Determine the maximum height H if there is to be no tension in the brickwork..17 A mountain-bike rider going uphill applies torque T = Fd(F = l5lb, d = 4 in.) to the end of the handlebars ABCD by pulling on the handlebar extenders DE. Consider the right half of the handlebar assembly only (assume the bars are fixed at the fork at A). Segments AB and CD are prismatic with lengths L, = 2 in.andL3 = 8.5 in, and with outer diameters and thicknesses d01 = 1.25 in. 101 = 0.125 in. and d03 = O.87in.,i03 = 0.ll5in, respectively as shown. Segment BC’ of length L, = 1.2 in. however. is tapered, and outer diameter and thickness vary linearly between dimensions at B and C. Consider torsion effects only. Assume G = 4000 ksi is constant. Derive an integral expression for the angle of twist of half of the handlebar tube when it is subjected to torque T = Fd acting at the end. Evaluate ‘b1-, for the given numerical1ues.The three-bar truss in Fig. a is subjected to a horizontal force of 5 kip. If the cross-sectional area of each member is 0.20 in2, determine the horizontal displacement at point B. E = 29(103) ksi.
- In the figure shown, the deflection of mercury is initially 250mm. If the pressure at a is increased by 40kPa, while maintaining the pressure at b constant, what will be the new mercury deflection?Two gondolas on a ski lift are locked in the postion show in the figure while repairs are being made elsewhere.The distance between support towers is L = LOO ft.The length of each cable segement under gondolas weighing WB= 450 lb and Wc=650 lb are DAB=12 ft, DBC=70 a , and DCB=20 ft . The cable sag at B is AB = 3.9 ft and that C is A = 7.1 ft.THe effective cross-sectional area of the cables is Ae=0.12 in". (a) Find the tension force in each segment; neglect the mass of the cable. (b) Find the average stress(σ) in each cable segment.A 70kg human steps at the tip of a springboard used to dive in a pool. The springboard has a length of 1.75 meters, moment of inertia is 0.000002 m^4, and modulus of elasticity is 150 GPa. Determine the deflection of the springboard in millimeters. Note: δ=[(W)(L^3)]/[(3)(E)(I)] for a cantilever beam with end force.
- A device consists of a horizontal beam ABCsupported by two vertical bars BD and CE. Bar CEis pinned at both ends but bar BD is fixed to thefoundation at its lower end. The distance from A toB is 600 mm and from B to C is 350 mm. Bars BDand CE have lengths of 350 mm and 450 mm, respectively,and their cross-sectional area is 720 mm2. Thebars are made of steel having a modulus of elasticityE = 200 GPa. If load P is 20 kN, calculate the displacementat point A.a machine mass m = 500 kg is mounted on a simply supported steel beam of length l = 2 that has a rectangular cross section (thickness = 0.1 m and width 1.2 m) and whose young modulus is given by E = 2.06x10 ^ 11 N / m2. To reduce the vertical deflection of the beam, a spring of stiffness k is added in the middle of the span, as shown in the following figure. Determine the value of k necessary to reduce the deflection of the beam by: a) -25% of its original valueb) -50% of its original valuec) -75% of its original valueA surveillance camera weighing 3 kg is mounted on a tubular frame as shown.shows in the following image. There is an external disturbance ?(?) = 30 cos(50?) ? actingabout the camera. Determine the cross section of the aluminum structure if it is the maximumamplitude is limited to 2 mm
- Please help me for the correct solution. A leaf spring carries a central load of 3000 N. The leaf spring has to be made of 10 steel plates 5cm wide and 6mm thick. If the bending stress is limited to 150 N/mm² determine: (i) Length of the spring and (ii) Deflection at the centre of the spring. Take E = 2 * 10 ^ 5 * N / m * m ^ 2..?The rigid bar AB, attached to aluminum and steel rods, is horizontal before the load P=140 kN is applied. Find the vertical displacement of point C (in mm) caused by the load P. LA=2,9 m; LS=3,48 m;AA=290 mm2; AS=464 mm2;EA=70 GPa; ES=200 GPa;L1=2 m; L2=1,6 m;Member AB (helical spring) and Member AC (axial rod) are carrying a weight at point A. Member AB has the following properties: R = 90 mm, n =4 turns, G = 70 GPa, d = 30 mm, and allow = 105 MPa while Member AC has the following properties: L = 2 , A = 500 mm2, E = 200 GPa, and allow = 30 MPa. Determine the maximum safe value of W (in N). Use simplified formula for the helical spring.