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- b) A simply supported beam of span 20m carries two concentrated loads 4kN at 8m and10kN at 12m from one end.Calculate (a)the deflection under each load, (b) the maximum deflection, E = 200 000 N/mm2; I= 109 mm4The simply supported beam consists of a W21 × 44 structural steel wide-flange shape [E = 29,000 ksi; I = 843 in.4]. Assume that the support at D can provide resistance either up or down. For a loading of w = 6.5 kips/ft, determine: (a) the beam deflection vA at point A. (b) the beam deflection vC at point C. Assume LAB = 13 ft, LBC = 5 ft, LCD = 5 ft, LDE = 7 ft.The cantilever beam consists of a rectangular structural steel tube shape [E = 200 GPa; I = 425 × 106 mm4]. Assume P = 35 kN, w = 10 kN/m, LAB = 1.50 m, and LBC = 2.00 m. Using Appendix C and method of superposition, determine:(a) the beam deflection at point A. [vA = -4.54 mm](b) the beam deflection at point B. [vB = -2.07 mm]
- The simply supported beam consists of a W530 × 66 structural steel wide-flange shape [E = 200 GPa; I = 351 × 106 mm4]. Determine (a) the beam deflection at point A. (b) the beam deflection at point C. Assume P = 46 kN, w = 74 kN/m, LAB = 4.2 m, LBC = 4.2 m, LCD = 4.2 m, LDE = 2.1 m.Taking into account the frame in the illustration below Given E = 200 GPa, I = 2x109 mm4 These loads are applied to the beam Uniformly distributed vertical load of intensity 8 kN/m at member AB Acting 3 meters above the rocker support is a 20 kN point load. The beam is held up by the following: Support in place at point A Support for rockers at Point C Questions 1. Determine the vertical reaction at support A. Ans 35 KN 2. Determine the horizontal reaction at support A. Ans 20 KN3. Determine the Moment reaction at support A. Ans 51 KNm4. Determine the vertical reaction at support C. Ans 37 KN5. Determine the horizontal deflection of point C due to the loads with respect to its original location. Please solve the Question no. 5 and explain.Engineering MechanicsDETERMINE FORCE (N) OF MEMBER EG in the truss shown.F1 = 222 NF2 = 513 NF3 = 456 Nα = 43 degreex = 13 m. Note: for compression, include a negative sign ( - ) and for tension, type your answer as is. Input answer in two (2) decimal places.
- Axial loads are applied to the compound rod that is composed of an aluminum segment rigidly connected between steel and bronze segments. What is the stress in each material given that P = 15 kN? Specify whether tension or compression. Bronze Aluminum Steel A=400 mm? A=600 mm? A= 300 mm? 2P 3P 4P P -3 m + 5 m -4mQuestion:- A 7.5 meters long simply supported structural steel beam carries two concentrated loads P at every third points. Use A 572 Grade 65 steel with Fy=448.18 MPa. The beam is W310x23.8 section having the given properties. A=3040mm² d= 305mm tw= 5.6mm bf=101mm tf= 6.7 mm Ix= 43x10⁶ mm⁴ Iy=1.2x10⁶mm⁴ a) Calculate the allowable bending stress of the compression flange of beam 7.5 fully supported against lateral movement. b) Based from the previous question, calculate the value of concentrated load P that the beam could support safety.A cantilever beam is 6m long with a EI = 20MNm^2. It has a point load of P=3kN at the free end and a u.d.l of q = 500N/m along its entire length. FIND: 1.)Reaction at A. 2.)Moment at A. Calculate the following at the free end; 3.) slope. 4.)deflection.
- Rigid bar ABC is supported by two identical solid bronze [σY = 331 MPa; E = 105 GPa; α = 22.0 × 10−6/°C] rods and a single solid steel [σY = 250 MPa; E = 200 GPa; α = 11.7×10−6/°C] rod. Bronze rods (1) each have diameters of d1 = 24 mm and lengths of L1 = 4.5 m. Steel rod (2) has a length of L2 = 6 m. (a) Calculate the diameter d2 required for steel rod (2) so that the deflection of joint B is zero for any change in temperature.(b) Using the value of d2 determined in part (a), determine the maximum temperature decrease that is allowable for this assembly if a factor of safety of 1.6 is specified for the normal stress in each rod. Since the temperature is decreasing, the answer should be negative.c. Calculate "P" in KN considering failure on bearing on projected area. Two A36 16mm Thick Steel Plates Are Connected By Four Rivets With Fv=152 MPa As Shown. Given: Rivet Dia 20 mm x=100 mmThe simply supported beam consists of a W21 × 44 structural steel wide-flange shape [E = 29,000 ksi; I = 843 in.4]. Assume d = 5 ft, w = 3 kips/ft, P = 48 kips. For the loading shown, determine (a) the beam deflection at point A. (b) the beam deflection at point C.