3. Consider the following steel shaft (E = 30x10" psi) 0.75d w=200 lb/in. 0.75d -5 15 in.- What is the diameter d so the deflection at the middle is not larger than 0.2 mm? Use Energy Methods.
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- 1. Consider the following steel shaft (E = V A 0.75d 5 in.- 30 × 106 psi) ♥♥ w = 200 lb/in. 15 in.- 0.75d 5 in. What is the diameter d so the deflection at the middle is not larger than 0.2 mm. Use Energy MethodsDo not give answer in image and hand writingThe shaft in the diagram below is subjected to bending forces of 8kN at B and 5 kN at C as shown in the diagram. The shaft is supported in bearings near its ends at A and D. Calculate the maximum bending moment in the shaft. Give your answer to 2 d.p. in Nm but do not include units in your answer. e.g. 5000.00 NOT 5000N m
- a) A steel 4 X 4X 0.25-inch square tube (moment of inertia I = 8.215 inª) is used as a simply supported beam. A 100-pound weight is dropped from a height of 24 inches onto the beam at mid- span. Find the maximum stress in the beam. Use E = 29 X 106 psi. 8 ft k = 200 lb/in 100 lb 8 ft b) Instead of fixed supports, the beam is supported by springs at both ends. Find the maximum stress in the beam when the 100-pound weight is dropped from a height of 24 inches (same beam properties as in part a). 24 in 100 lb 8 ft 24 in 8 ft k = 200 lb/in2. Use energy methods to find the deflection at the tip in the same direction as force F. The material properties are modulus E and shear modulus G. Note the handle has a rectangular cross-section over length b and a circular cross-section over length a. F Diameter d Cross section: txw (t>>w)A simply supported beam is shown in the figure. EI = 56,000 kN-m2. Using Double Integration Method determine the following: A. Determine the slope at point B. Express your answer in degrees. B. Determine the deflection at point C. Express your answer in millimeters. c. Determine the maximum deflection of the beam. Express your answer in millimeters. 30 kN 10 kN/m A VB D 3 m 1.5 m 1.5 m 6 m
- 2 thumbs up if u get it right make sure ur units for final answer match questions Use Castigliano's theorem to determine the magnitude of deflection at midspan for the solid steel shaft shown in the figure, where a = 3 in, b= 7 in, da = 1.125 in, db = 1.875 in, and w=160 lbf/in. da a → db W b A The magnitude of deflection at the mid-span of the beam is 0.016265 * in. 6. Simple supports-intermediate load a + ·1 F B da b с R₂ x R₁ = VAB = R₁ MAB = YAB = Fb 1 Увс = Fbx 1 Fbx 6EI1 Fa R₂ = 1 VBC-R₂ Fa MBC= -(1-x) 1 ; (x² + b² −1²) Fa (1-x) 6EI1 -(x² + a² - 21x) Page 1032Part 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 ?For the beam shown, use only singularity functions. V₁ = 45 lbf/in and V/₂ = 5 in. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. 0 1400 lbf Hinge JA B₁ C R₂ R₁ 4 in 4 in 2 in V1 V2 D R₂ + What is the value of the peak moment between points Cand D? The peak moment between points C and Dis Ibf.in.
- Find the section modulus for a beam of circular cross section with the diameter of 90mm. The section modulus of beam is (in mm3) =Calculate the beam deflection at point C. E = 206.8 GPa, I„ = 1.873 x 10-6 mª. Use either the double integration method or the moment area method. Show your work. 200 N 500 N 50.8 mm -------z 76.2 mm A 1 m 1 m 2 m1. Find the deflection y(x) where:The beam is embedded at x = L and a free end at x = 0. The applied load is w = w0*(1+Sin(πx/L)), wo is the maximum intensity of the load. Also, Find the overall deflection for 304 S.S. and an overall w0 of 3000 lbs. Please solve this using DIFFERENTIAL EQUATION METHOD. Other methods will not get upvote. Thank you.