ME4351L-Lab Manual LVDT(1)

com/courses/30733/quizzes/403714/take/questions/5614084 Question 3 3.). THE SPRING RATE OF EACH SPRING ARE ALL THE SAME. (SR = 27ON/m) WHAT IS THE CHANGE IN LENGTH IN EACH SPRINGS AND THE TOTAL DEFLEC- TION, IF THE LOAD HAS- A MASS OF g kg! NOTE: USE g=9.so66 m/s? Yr (mm) Y1 (m) Y2 (m) Y3 (m) A SP IRE

Question 3 A simply supported beam with the boundary conditions as shown. An applied load, F is acted at the center of the beam and causes a deflection, y in meter. Using the value from the Table to plot a graph and using the moment of area and cantilever beam theory to determine the value of Young's Modulus, E of the beam in N/m². The following data are obtained in a simple experiment: F(N) y(m) 0 0 2.45 0.00043 Given that the moment of area, I=4.572x 10-10m4 The length of the beam, L = 0.25m FL3 According to the cantilever beam theory: y = - 48EI 14.71 4.9 7.36 9.81 12.26 0.00087 0.00131 0.00175 0.00218 0.00262 F L/2 40 Points I www

vi) Using Macauley's method, determine the deflection of the member at the locations where the 25 kN, 20 kN and 50 kN point loads are applied. Comment on how the maximum deflection of the member could be determined. 1 Engineering Design & Analysis 2 25 kN Delta Strain 20 kN Gauge 5 kN/m 50 kN D=100 mm ! 5.75 kNm 8 kN/m 110.kN _7.5MIN/m2 1.5m l0.5m l0.5ml 0.75m 0.5m| t=15 mm 4m Ес 3 375x10-5 Ев — 550х10-6 Data: Material properties for steel: Maximum allowable tensile stress = 750 MN/m? Maximum allowable torsional shear stress = 375 MN/m? %3D Young's Modulus of elasticity = 205 GN/m² Modulus of rigidity = 81 GN/m? Poisson's ratio = 0.31 EA = 880x106 %3D Delta Strain Gauge Readings at Point X on Member

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cross-section width w = 20  mm, cross-section hight h = 93   mm, length of the beam L =3   m , beam material’s Young’s modulus Q =226 GPa, applied bending moment MB = 11 kN.m  The value of the deflection at Point B caused by MB ( Part I) can be calculated as 138.91mm

6 30.| zain IQ bäð öeljäll - 2_5217624247974759356.pdf ビン Cumaression -5ッ7.o46 +3.M N.A Coupression Tens.'on Teusiou HiWi A beam with I cross-Section is Subjected to negative bending moment M: 50 k.m.The Cross sectioncel dimensions of the beam are shown. Determine the magnitude of maximum pendling stress. loumm 120 mm و من ۹

13. You wish to raise a 1700 kg steel beam straight up by 50 m. You have a 1000 m long ramp and a pulley system with 10 sets of pulleys and you can use either to lift the steel beam. Which would be the easiest to use?

M=E/p². (b) Show that the lightest cantilever beam of length L and square section (area free) that will not deflect by more than 8 under an end load F is that made of the material with the largest value of M = Ep (neglect self-weight). loungs modulusE GPa Plot each index on the given (E- p) chart indicating the search area for materials with the highest values of each. 1000 HINT: Start each of the problem by listing the function, the objective and the constraints. You will need the equations for the deflection of a cantilever beam with a square cross-section t x t. You can either derive the equations or use the equations provided in Appendix B, Section B3. 100 10 1 10-1 10-2 Loungs modulus density 10-4 Longitudinal wave speed 10 ms 3x10² Foams. 10 ms- 10-3 3x10² Rigid polymer foams 10 ms Technical ceramics Al alloys Composites CFRP Glass Bamboo Mg alloys GFRP Wood Flexible polymer foams Natural PMMA- materials PA grain Cork PS Wood grain Leat e EVA Isoprene Buty rubber B4C. Polyester…

I Review Learning Goal: Part A- Vertical impact To calculate displacement and stresses due to vertical and horizontal impact loads. A 10-kg block is dropped from 1.5 m onto the center of a simply supported beam with a length 3 m. The beam has a square section with side length 6.5 cm. The material has E = 200 GPa . What is the maximum deflection? When an object strikes a structure that responds by deforming in linear elastic fashion, the object comes to rest when the structure has undergone maximum deflection. At that moment, the structure's strain energy must equal the sum of the energies before the impact, including both the object's kinetic energy and its gravitational potential energy. Express your answer with appropriate units to three significant figures. > View Available Hint(s) When an object falls from rest onto a structure, the object's gravitational potential energy is converted into strain energy in the structure. The total strain energy in the structure at the point of…

Consider the beam shown in (Eigure 1). Suppose that w=360 N/m Figure Ⓒ1of1> 1 of 1 -3m Express your answer to three significant figures and include the appropriate units ▸ View Available Hint(s) F = 675 N Previous Answers ✓ Correct Correct answer is shown. Your answer 674 N was either rounded differently or used a different number of significant figures than required for this part Here we learn how to find a reaction force on a beam at a rocker on an inclined surface caused by an external distributed loading, using equations of equilibrium Part B Determine the and y components of reaction at I using scalar notation Express your answers in newtons to three significant figures separated by a comma. ▸ View Available Hint(s) VAX vec B..B,- 405,540 Submit Previous Answers Incorrect; Try Again; 3 attempts remaining N

: 71 4G .... Vo LTE TL Deflection 1- The beam is subjected to the linearly varying distributed load. Determine the maximum slope and the maximum deflection of the beam. El is constant. Me Ma ... 2- Determine the equation of the elastic curve, the slope at A, and the deflection at B of the simply supported beam. El is constant. 30 kN/m الشيت.pdf B 3:07 م "2 © D 3- Determine the maximum deflection of the cantilevered beam. The beam is made of material having an E 200 GPa and I = 65 x 10 mm. 15KN 4- The beam is subjected to the load P as shown. Determine the magnitude of force F that must be applied at the end of the overhang C so that the deflection at C is zero. El is constant C -13- 6- The wide-flange beam has a length of 2L, a depth 2c, and a constant EI. Determine the maximum height h at which a weight W can be dropped on its end without exceeding a maximum elastic stress in the beam. 7- The rod has a circular cross section with a moment of inertia I. If a vertical force P is applied…

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Show all calculation and formula used: The second floor portion of a house is about to break down, so it was propped up by an iron column 4.0 meters long with cross sectional area of 30.0 cm^2. The iron column was compressed by 0.015 mm. How much load (N) the iron column is supporting? Y of iron = 19x10^10 Pa

need help calculating displecment / deflection using formula:  W*L3 / 48*E*I W: 0,5,10,15,20,25 (N) L3: 0.4m E: Modulus of elasticity of Aluminum I: moment of Inertia: 1.51 x 10^-9 The cross section of material is aluminum tube 12.7mm x 9.5mm

A bar of Al,03 that is 0.25 in. thick, 0.5 in. wide, and 9 in. long is tested in a three- point bending apparatus with the supports located 6 in. apart. The deflection of the center of the bar is measured as a function of the applied load. The data are shown below. Determine the flexural strength and the flexural modulus. Force (Ib) Deflection (in.) 14.5 0.0025 28.9 0.0050 43.4 0.0075 57.9 0.0100 86.0 0.0149 (fracture)

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O True O False QUESTION 3 Compute the expected properties of modulus of elasticity (Ec) of a composite made from S-glass fibers and a Polyester matrix. The volume fraction of fibers is 30%. (Unit is psi.) Properties of Sample Matrix and Filler Materials Tensile strength Tఅబండి Specific weight bai MPa 10 psi GPa Iblin Matrix materials: Polyester Ероху Aluminum 10 18 45 69 124 310 1170 0.40 0.56 10.0 165 2.76 3.86 69 114 0.047 12.7 0.047 12.7 0.100 0.160 27.1 Titanium Filler materials: 170 43.4 S-glass Carbon-PAN Carbon-PAN (high-strength) Carbon (high-modulus) Aramid 600 470 4140 3240 5650 2200 3450 12.5 33.5 40 100 86.2 231 276 690 131 0.09 0.064 24.4 17.4 17.7 820 325 500 0రవ 0.078 0.052 21.2 19.0 14.1 Click Save and Submit to save and submit. Click Save All Answers to save all answers. earch

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Bending: Show all Equations Used! Consider a cantilevered, rectangular beam subjected to a load pro- duced by a 1 kg point mass at the (free) tip of the beam. Assume that beam material is made of Aluminum and that the beam is 11 in. long, 1 in. wide and 1/8 in. thick. 1. Based on Euler-Bernoulli beam theory, determine the deflection (in milimeters) of the beam. 2. Determine the longitudinal stress (in MPa), longitudinal strain and transverse strain at the root of the beam.

A propped cantilever beam is loaded by a bending moment of the magnitude MB at t point B as shown in Figure Q1. The cross-section of the beam is a rectangle of the width w and the hight ʼn that are constant along the length of the beam L. The beam material's Young's modulus is Q. AY Figure Q1 B X

Consider the fiberglass beam shown in (Figure 1). Suppose that wi = 2.2 kN/m and w2 = 2.7 kN/m. Part A Determine the maximum shear stress acting in the beam at the section where the internal shear force is maximum. Express your answer to three significant figures and include the appropriate units. HA ? Tmax = Value Units Submit Request Answer Figure 1 of 1 Provide Feedback Next > 2 m 2 m 0.6 m 100 mm 18 mm 150 mm 12 mm 100 mm 18 mm P Pearson

۸:۳۰ م السبت 16 أبریل a elearn.ict.edu.om Q-1 .Construct the shear force and bending moment diagram for the beam shown below. 150N 75N 50N E 5m 4m 2m 3m Ay By

A 0.4m long steel rod has a diameter of 0.05m and a modulus of elasticity of 20x10^4 MPa. The rod supports a 10000N compressive load. What is most nearly the decrease in the steel rod's length? a. 1.3 x 10^-6 m b. 2.5 x 10^-6 m c. 5.1 x 10^-6 m d 1.0 x 10^-5 m

1. A beam is loaded and supported as shown below. (a) Using the coordinate system shown, determine the equation of the elastic curve in terms of x, w, L, E, and I by integrating the beam deflection equation. Determine the deflection at B for a structural steel S203 x 34 American standard beam, if L = 5 m and w = 2 kN/m. (b) Y A X W L |B

Can someone please help me to solve the following problem showing all work neatly thank you! E = 207 GPA I = 12.8 x10^6 mm^4