Problem 7 (25 minutes) For the following beam, K=10, L=10, J=5: 1. Determine shear and moment functions V(x) and M(x) in the segment AB (0
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- Problem #2 A wood beam with a square cross section supports the load as shown. Determine the cross sectional dimension in millimeter if the allowable flexure stress is 1000 KPa. Use double integration method. Note: Maximum moment occur at support. 100N/m 100N 1m 43². A cantilever beam carries a vertical load of 150 KN at point B and uniform load of 30 KN/m from C to D., MX a. Draw Shear and Moment Diagrams. b. Using conjugate beam method, solve deflection and slope at B 150KN 4m B 4 m C 30 KN/m 7m D Assume El to be constant: E = 200,000 MPa, I = 500 x 106 mm4.Using the figure above, determine the internal shear and bending moment at pointsA, B, and C (determine just to the left and just to the right of the points if needed).Sketch V (x) and M(x) for the entire beam. Take a = 2 m and b = 1 m. w = 100 N/m. Can you also show me a shear as well as moment diagram? Thanks
- PROBLEMThe beam shown below has internal hinges at points B and D. Assume EI is constant. Using your most convenient methodshow the following:a. Magnitude and directions of the support reactions (Ax,Ay, MA, Cy, Fy). b. The elastic curve.c. Vertical displacement at B. d. Rotation just to the left of B. e. Rotation just to the right of B.Note: Use AREA Method Draw the shear and bending moment diagram of the cantilever beam as shown. Indicate the degree of each curve and determine the maximum shear and bending moment. Given:P1 = 1 kipP2 = 5 kipsP3 = 3 kipsQuestion 1) F=36 kN single load, M=48 kN.m moment and w=20 kN/m distributed load act on the beamn whose loading condition is given in the figure . The length L is also given as L=3 m. The cross-sectional properties of the beam are; body height y a =210 mm , body thickness x, = 14 mm , flange width xf = 173 mm , flange height yf =14 mm . Point P on the section is located just above the flange-body junction. It is desired to determine the stress state at point Pin the section taken from the B line of the beam. According to this; g w kN/m F kN M kN.m A E В 2L L. L Xf P Yg Xg Question 1-A) B at a point of cutting force (V B ) to find. ( Write your result in kN .) Question 1-B), B at a point of bending moment (M 8 ) you find. ( Write your result in kN.m.) Question 1-C) digits for the decimal part of your result and use the expression E for the decimat part. Write it as 5E-3 instead of 0.005 .) Find the moment of inertia of the beam section .( Do your operations by converting the lengths to…
- Determine the following unknowns on the beam shown below using Area-Moment Method. Consider 150 mm x 150 mm section and E = 80 GPa. Show complete and organized solutions. a. Vertical Reaction at B in kN.b. Moment Reaction at A in kN-m.c. Deflection at point C in mm.d. Deflection at midspan of AB in mm. Valuea = 3.7b = 26c = 29 Thank you very much!1. Determine the equation of the elastic curve for the overhanging beam, Calculate the value of EIongation midway between the supports, Calculate the slope at the left support. EI = constant.Drawand label properly the FBD and Shear and Moment Diagram. Show complete solution. Thank you!Draw the shear force and bending moment diagrams of the beam whose span and loading condition are given in the figure. Calculate the section rotation (θA) at point A and the vertical displacement (Yc) at point C using the moment area theorem in mm. (EI = 50000 kN.m2 ) P=3kN L1=4m L2=1.3m
- 1. Determine the equation of the elastic curve for the overhanging beam, Calculate the value of EIongation midway between the supports, Calculate the slope at the left support. EI = constant.Draw and label properly the FBD and Shear and Moment Diagram. Show complete solution. Thank you!Compute the vertical displacement (downward) at Joint C of the given truss shown in Figure 2 using the method of virtual work. You can use Space Gass to compute the internal forces of the real and virtual systems without manual calculations. Assume the cross-sectional area and modulus of elasticity of each member are constant. F B H 3 kN + G 4 kN + D 3 kN + + 3 mPROBLEM For the beam loaded as shown, do the following 1. Determine the values of shear and moment at pointa where change in loada occur using the Area Method. Mark maximum values. 2 Draw the shear and moment diagram. Show computation. 3. Solve the moment of inertia of the erose-section of the beam about the neutral azia. Show computation and box your anwer. 4. Compute the maximum sbear streas. Show computation. S. Compute the maximum tensile and compresive Dexural stress. Show computation. 6. Draw the elastic ourve. 1. Write the moment equation for the entire beam. Place your anawer in a box. B. Wrise the alope equation of the beam. Place your anawer in a box. . Wrine the debection equation. Place your anwer in a box. 10. Locane the position of the maximum delection. Box your anawer. 10. What is the maximum delection? Box your answer. 11. What is the slope of the elastic curve at point B? 12. What is the shear atress of the fibers found at the junetion between the web and the flange