B= 27" y=32" L=29° a = 15 em b= 31 cm Fm =? C=65 cm F.77N W =146N %3D 1b
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- Two steel wines support a moveable overhead camera weighing W = 28 lb (see figure part a) used For close-up to viewing of field action at sporting, events. At some instant, wire I is at an angle a = 22° to the horizontal and wire 2 is at angle fi = 40°. Wires I and 2 have diameters of 30and 35 mils, respectively. (Wire diameters are often expressed in mils; one mil equals 0.001 in.) (a) Determine the tensile stresses s and s2 in the two wires. (b) If the stresses in wires 1 and 2 must be the same, what is the required diameter of wire 1 ? (c) To stabilize the camera for windy outdoor conditions, a third wire is added (see figure part b). Assume the three wires meet at a common point coordinates (0, 0. 0) above the camera at the instant shown in figure part b. Wire I is attached to a support at coordinates (75 ft, 48 ft, 70 Ft). Wire 2 is supported at (-70 ft. 55 ft, 80 Ft). Wire 3 is supported at (-10 ft. -85 Ft, 75 ft). Assume that all three wires have a diameter of 30 mils. Find the tensile stresses in all three wires.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 material is a spring wire has a shear modulus of 1.2 x 107 lbf/in2. The maximum allowable stress under design conditions is 50,000 lbf/in2. The spring index is 7. Assume the maximum stress is experienced when a 700 lbm object falls from a height of 46 in above the tip of the spring, impacts squarely on the spring, and deflects the spring 10 in. Determie:1. The minimum wire diameter is most nearlyA. 0.58 in B. 0.88 in C. 1.4 in D. 1.8 in2. The mean coil diameter is most nearlyA. 8.6 in B. 10 in C. 13 in D. 16 in3. The number of active coils is most nearlyA. 8 B. 11 C. 12 D. 14
- The material is a spring wire has a shear modulus of 1.2 x 107 lbf/in2. The maximum allowable stress under design conditions is 50,000 lbf/in2. The spring index is 7. Assume the maximum stress is experienced when a 700 lbm objects falls from a height of 46 in above the tip of the spring, impacts squarely on the spring, and deflects the spring 10 in. Determie: 1. The minimum wire diameter is most nearly A. 0.58 in B. 0.88 in C. 1.4 in D. 1.8 in 2. The mean coil diameter is most nearly A. 8.6 in B. 10 in C. 13 in D. 16 in 3. The number of active coils is most nearly A. 8 B. 11 C. 12 D. 14A 2.5 cm x 7.5 cm steel beam with a length of 61 cm is subjected to a reversed load of 17.8 kN at midpoint. If yield stress and endurance stress are 410 MPa and 155 MPa respectively, what should be the minimum factor of safety? A helical spring has a free length of 203 mm, outside diameter of 115 mm and a wire diameter of 13 mm. It consist of 9.5 coils squared and grounded at the ends. If it is compressed to its solid length, what is the stress in the spring? Let G = 80 GPa.A 5.0m long steel wire has a cross-sectional area of 0.55cm^2. Its proportional limit has a value of 0.0018 times its Young's modulus. Its breaking stress has a value of 0.0065 times its Young's modulus. The wire is fastened at its upper end and hangs vertically. a. How great a weight can be hung from the wire without exceeding the proportional limit? b. How much will the wire stretch under this load? c. What is the maximum weight that the wire can support?
- A link of a valve gear has to be curved in one plane, for the sake of clearance. Estimate the maximum tensile and compressive stress in the link if the thrust is 2500 N. (Cam bridge) ANSWER: maximum tensile 38.0 MN/m2; maximum compressive 46.0 MNIm2. Please show the solution to get the answer.A spring has an unstretched length of 600 mm. If it was stretched by 400 mm, the work done is 800 Joules. What is the stiffness of the spring? A) 100 N/m B) 10 KN/m C) 1000 N/m D) 1 KN/mP2 = 18.95 Psi T2 = 575 R W12 = 32.59 Btu Q12 = 0 Btu
- A shaft is loaded in bending and torsion such that Ma = 62 N · m, Ta = 48 N · m, Mm = 54 N · m, and Tm = 25 N · m. For the shaft, Su = 700 MPa and Sy = 560 MPa, and a fully corrected endurance limit of Se = 210 MPa is assumed. Let Kf = 2.2 and Kfs = 1.8. With a design factor of 2.0 determine the minimum acceptable diameter of the shaft in mm using the DE-Goodman criterion.What is the value of shear stress acting on a plane of circular bar which is subjected to axial tensile load of 100 kN? (Diameter of bar = 40 mm , θ = 42.3°) a. 58.73 Mpa b. 40.23 Mpa c. 39.60 Mpa d. Insufficient dataAn 18 coils helical spring having a load of 100kg. The modulus of elasticity in shear of spring is 96.62 GPa, OD of 9.256 cm and with wire diameter of 9.525 mm. The spring is squared and ground ends. Compute for the following respectively: 1) number of effective coils2) spring index3) axial load (N) 4) deflection (mm) Answers must be at least in 4 decimal places.