2 F E = 10,000 ksi I= 400 in 4 12' 240 k'
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- 2 Find the equation of deflection (under the uniformly distributed load) and calculate the maximum deflection of the floor beam in mm. Given E=200GPA, Ix=87 x 10^6 mm^4 and ly=18.7 x 10^6 mm^4. 1.2 kN/m D -2.4 m- 0.6 m 0.6 mFor 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 cm²- Detrmia he tensile and Compresou stras for the beam shown in fig 160 mm lo wlm 20 m 20 mm 120 T = 97-6 mm le
- The Flexor loading micrometer will be used to load the beam. Calculate the deflection required to bend the beam to the desired strain. Deflection in a cantilever beam b inches wide by t inches thick is: 4PL3 y = Ebt3 %3D (4) where: y= deflection (in), P= force, lbs, L= distance from clamp to loading micrometer (10.0 in), E = Young's modulus for aluminum (10.4E6 psi). %3D %3D Stress at the rosette is given by: Mc/ = 6Px (5) %3D bt2 where: x= the distance from the loading micrometer to the rosette centerline (9.0 in), and P, b and t are as defined above. Using equations (4) and (5) above, determine the deflection required to impose a 15 Kpsi stress in the beam at the gage rosette centerline. What force will be applied by the loading micrometer at 15Kpsi? Do your work in the space below.1. 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.A beam of uniform rectangular section 200 mm wide and 300 mm deep is simply supported at its ends. It carries a uniformly distributed load of 9 KN/m run over the entire span of 5 m. if the value of E for the beam material is 1 X 104 N/mm2 , find the slope at the supports and maximum deflection. Give me complete solution based on the given above. Again I need to ask the same question since you gave me a wrong answer before.
- =5 For the beam shown below fi E The moment of inertia = / and the elastic modulus = Find the reaction at C using Flexibility method. Find the reactions at A. No calculation is Do the internal forces change if support C settles? needed, just answer yes or no and explain why ina few words (at most one line). P =36 kips A B g —0/10 FIND DEFLECTION IN Aluminum. IF E st= .200000 MPa, Ealu.=70000 MPa 100 kN RALU=30 MM Aluminum Steel 1 m RST 20 MMProblem 4 The overhanging steel beam ABC carries a concentrated load P at end C. For portion AB of the beam, (a) derive the equation of the elastic curve, (b) determine the maximum deflection, (c) evaluate vmax for the following data: W14 × 68 | = 722 in4 E = 29 x 106 psi P = 50 kips L = 15 ft = 180 in. %3D a = 4 ft = 48 in %3D х- -by- Flange Web Thick- Thick- Axis X-X Axis Y-Y Depth d, in. Area Width ness ness Designation' A, in? br, in. to, in. L in. in S, in F in. in' S, in in. W14 x 370 109 17.9 16.5 2.66 1.66 5440 607 7.07 1990 241 4.27 145 42.7 14.8 15.5 1.09 0.680 1710 232 6.33 677 87.3 3.98 82 24.0 14.3 10.1 0.855 0.510 881 123 6.05 148 29.3 2.48 68 20.0 14.0 10.0 0.720 0.415 722 103 6.01 121 24.2 2.46 53 15.6 13.9 8.06 0.660 0.370 541 77.8 5.89 57.7 14.3 1.92 43 12.6 13.7 8.00 0.530 0.305 428 62.6 5.82 45.2 11.3 1.89 6.77 0.515 0.310 385 54.6 5.87 26.7 7.88 1.55 38 11.2 14.1 *You can draw a FBD, Shear V-diagram, and a Bending Moment-M diagram to help in determining the shear…
- 2. Consider the following steel shaft (E = 30 x 10 psi) w=200 lb/in. 0.75d 0.75d 15 in.1 What is the diameter d so the deflection at the middle is not larger than 0.2 mm. Use Energy Methods.Question Two For the shown simply supported beam, a deflection of 1.5 mm is developed in the beam at x 0.75 m when a L mm, of P=500 g is applied. If the beam has a rectangular cross section of b= 35 mm and h = 51 find the modulu: elasticity of the beam's material. 0.6 m 0.6 mThe beam W24x104 beam is constructed of A-36 steel. AC has a cross-sectional area of 1 square inch and is constructed of the same material. w = 30 lb/in, L1 = 8 ft, and L2 = 1 ft. Find reactions at A and B, and FAC Draw shear force and bending moment How does a answer change if AC is 6061-T6?