3. A round shaft, 45 mm in diameter, carries a 3500 N load, as shown in the Figure. If the shaft is steel, compute the maximum deflection and the slope at both ends. (E=207 GPa) 3500 N 150 mm 150 mm 100 mm 45 mm dia. round shaft A D 400 mm
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- Problem 9 only, solve carefully, include the units in every step and draw the diagram. Thanks! A force tangent to 1 foot diameter pulley is 5 KN and is mounted on a 2 inches shaft. Determine the torsional deflectionif G = 83 x 106 KpaFor the vertical rod as shown, find the deflection at A and the stress distribution. Use E-100 MPa and weight per unit volume equal to 0.06 N/cm3. (Hint: Introduce weight contribution to the nodal loads and solve using two elements and four elements.) Comment on the stress distribution. a) Use 2 & 4 elements with linear shape functions. b) Use 2 elements with quadratic shape functions. 1.6m C A -Area - 2500 cm² 8 Area - 1500 cm²Part A A simply supported shaft is shown in the figure below. Assume the following data: a = 16 in, b = 18 in, l = 20 in, P = 1000 lb, Tmin=0 lb-in, Tmax=2000 lb-in. The steel shaft diameter is 1.75 in. Determine the maximum deflection in bending of the shaft shown in the figure. Express your answer in inches to three significant figures. Enter positive value if the deflection is upward and negative value if the deflection is downward. Submit Previous Answers Request Answer Part B ΗΠΙΑΣΦΗ * Incorrect; Try Again; 4 attempts remaining vec Omaz = Submit bearings are self-aligning so act as simple supports Determine the magnitude of the maximum deflection in torsion of the shaft shown in the figure. Express your answer in degrees to three significant figures. ΑΣΦΗ ΠΕ vec Previous Answers Request Answer ? in ?
- On a formatted bond paper, copy and solve the problem. Show your neat and detailed solution. Use three (3) decimal places for your answers and enclosed it in a box. Compute the deflection and slope at a section 8 ft from the wall for the beam shown in the figure using Double Integration Method. Assume that E = 28 x 103 psi and 1= 30.75 1200 lb in4. A 800 lb/ft -8 ft -8 ft Bes A gear reduction unit uses the countershaft shown in the figure. Gear A receives power from another gear with the transmitted force FA applied at the 20° pressure angle as shown. The power is transmitted through the shaft and delivered through gear B through a transmitted force Fg at the pressure angle shown. For the steel countershaft specified in the table, find the deflection and slope of the shaft at point A. Use superposition with the deflection equations in Table A-9. Assume the bearings constitute simple supports. In the figure below, FA is 310 lbf and the diameter of the shaft (dshaft) is 1.29 in. dshaft Gear A 20-in dia. 16 in FA 20⁰ The deflection at point A is The slope at point A is 14 in 100 Gear B 8-in dia. rad. 9 in in. B FB 20°A gear reduction unit uses the countershaft shown in the figure. Gear A receives power from another gear with the transmitted force FA applied at the 20° pressure angle as shown. The power is transmitted through the shaft and delivered through gear B through a transmitted force Fg at the pressure angle shown. For the steel countershaft specified in the table, find the deflection and slope of the shaft at point A. Use superposition with the deflection equations in Table A-9. Assume the bearings constitute simple supports. In the figure below, FA is 11400 N and the diameter of the shaft (dshaft) is 52 mm. 20⁰ 400 mm Gear A, 600-mm dia. 350 mm 300 mm Gear B, 300-mm dia. The deflection at point A is The slope at point A is 0.0041 rad. 2.2 mm. 25° ✓ dshaft
- Q2 Find the deflection at the tip of the cantilever shown in figure below. Use EI=20MNm². 1m 30kN/m 10kN 1m 25kNThe simply supported W8X24 A-36 steel beam AB is loaded as shown in the figure. What is the slope of point B in radians if w = 5.7 kip/ft, L 16.5 ft, Mo = 6.2 kip-ft? Note: Your answer should include units and be to 4 decimal places. Mo Aरू 늘 -10.1: 1.5 m of a shaft with a length L = 3.5 m shown in the figure is hollow.Shaft τsafe =100 MPa, ωsafe =0,25 degree/m, G=80 GPa, D2 =10 cm, D1=8 cm Find the moment M. Answer: 1012 N.m
- 9. A round steel shaft transmits ½ hp at 1,800 rpm. The shear modulus of elasticity is 12,000,000 psi. The torsional deflection is not to exceed 1 degree in a length equal to 20 diameters. Find the shaft diameter. C. 0.804 in A. 0.404 in B. 0.257 in D. 0.657 in5. For the beam shown in the figure, determine the slope at A and B and the value of the maximum deflection. 150 lb 240 lb 0.3 k/ft -10 ft -8 ft- - 10 ft- E = 29,000 ksi | = 20 in3. A circular solid shaft, with an radius of 20 mm and a length of 5 m and thin bearings at both ends, is subject to a point loading 1000 N in the middle. The young's modulus (E) is 200 GPa. Draw a shear force diagram (SFD) and a bending moment diagram (BMD) of this shaft. i. Compute the maximum deflection in the middle of the shaft. a) Hint: You should compute I (the second moment of inertia of the cross- section of the shaft) prior to determining the deflection. b) Hint: Use the table shown in the lecture note for calculating the ii. deflection. iii. cross section of the shaft. Compute the maximum shear stress due to a vertical shear force at a Hint: Use the formula to compute the shear stress. The maximum shear stress occurs at the neutral axis of the cross section of a shaft. Compute the maximum normal stress due to a bending moment at a iv. cross section of the shaft. Hint: Use the formula to compute the normal stress. The maximum normal stress occurs at the top or bottom of the…