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- Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=4.0 ft, b-9.0 ft. c=4.0 ft, d=3.0ft, w=8 kips/ft and P = 66 kips. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. B B ÎÎÎÎÎÎ Answers: Ay=i b d For this loading, calculate the reaction forces Ay and Ey acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the free-body diagram.) W C b C C D E kips, Ey = i E X Ey kips.Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a = 2.8 m, b = 5.6 m, c = 3.8 m, P = 20 kN, w = 45 kN/m, and Q-10 kN. A P B W b C X What is the maximum bending moment on the beam? Answer in kN-m rounded-off to 2 decimal places When entering your answers, use the bending moment sign convention. IA beam is supported and loaded as shown. In the section of the beam between 'A' and 'B', the equation for the resisting bending moment was determined as: M₁ = -6.5x²+50x. Determine the magnitude of maximum resisting bending moment (Mr,max) in the section. Note: Do NOT include units in your answer Answer: AA B
- The bending moment diagram and cross-section for a beam are shown below. Use the elastic flexural formula ox = -Mzy/l, to determine the required strength of the beam to resist the compressive stresses. Circle the correct answer for the compressive strength in ksi: 2.3, 2.5, 27.5, 30, 37.7 Show your work below. Bending Moment Diagram Beam Cross-Section 4" +50 2' (K-Fe) 2" 2" - 40 2"The cross sectional dimensions of a beam are shown. If the flange thickness, h, is 16.2 mm, determine the second moment of area of the cross section. Note: Give your answer in mm4 Note: Do NOT include units in your answer. 10MM 150HM 120 MM hmmUNICARD Worksheet 10- Shear Force and Bending Moment Diagrams Question 3: (recommended time-30 minutes) Draw the shear force and bending moment diagrams for the beam given below. Determine the maximum bending moment in segment AB and its location from point A. Neglect the weight of the beam. Answer by following steps a to f, below. Ay 40 kN/m 20 kN B 150 kN·m 8 m 3 m a) Determine the support reactions at points A and B using the FBD of the entire beam. For OAx = 0 EM-0 +(By x8) (20 × 11)-(160 × 5,5)-150-0 By-152915 - (Ay +8) + (160 × 2,66)-150-60 = Ay 27.083 Ay Ax 5,3m 8m 160 20kN 150. b) How many segments are required to draw the shear and bending moment diagrams for the given beam? Name the segments. 2 Segments 5x 27,095 لاينا Segment SF 27,063 160 20 -5,3 Segment 152,915 Bending c) Express the shear force and bending moment as functions of x (the reference coordinate system is placed at point A) for segment AB and determine the shear force and bending moment at the points located…
- For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) Let w=20.0 kips/ft, a=6.0 ft, and b=20.5 ft. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. "| Answers: By= Calculate the reaction forces By and Cy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Bx = 0, it has been omitted from the free-body diagram.) Cy= Answers: (a) V= (b) V= 351 183.54 (d) V= -120 222.561 (c) V= i -360 B Determine the shear force acting at each of the following locations: (a) x = 6.0-ft (i.e., just to the left of support B) (b) x = 6.0+ ft (i.e., just to the right of support B) (c) x = 25.5 ft (d) x = 26.5-ft (i.e., just to the left of support C) Note that x = 0 at point A.…QUESTION 7 A loaded, simply supported beam and its cross-section are shown in the figures below. 5 kN/m 20 mm: 150 mm 20 mm 150 mm 20 mm- 6m 250 mm (a) (b) Calculate the moment of inertia of the section. O 30.1 x 10-7 m4 O 301 x 107 m4 O 301 x 10-6 m4 O None of these O 30.1 x 10-8 m4 QUESTION 8 In Problem 7 (above), what is the maximum bending stress in the beam. O 4.45 MPa O None of these O 1.45 MPa O 12.7 MPa O 14.0 MPa Save All Click Save and Submit to save and submit. Click Save All Answers to save all answers.Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=3 ft, b=9 ft, c=3 ft and w=3 kips/ft. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. a a * Answers: Ay = Calculate the reaction forces Ay and Cy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the free-body diagram.) B t b P W b W C- C₂ с kips, Cy= p D -X kips.
- Use the diagram shown above. Given: • D₁ = 10 ft . • D₂ = 3 ft A #/ft . W = 100 W-100 Solve for the internal moment at X. D₂ D₁ W X Note: Enter your calculation results without the unit. You'll be asked to specify the unit for your calculation result in the following question. (e.g. if it's positive 100, enter 100, if it's negative 100, enter -100.)Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Leta = 5.2 ft, w = 235 Ib/ft, Mp = 7000 lb-ft, and P = 11001b. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. Mp Determine the bending moment acting at each of the following locations: (a) x = 5.2 ft (i.e., at point B) (b) x = 10.4 ft (i.e., at point C) (c) x = 15.6 – ft (i.e., just to the left of point D) (d) x = 15.6 + ft (i.e., just to the right of point D) (e) x = 20.8 ft (i.e., at point E) When entering your answers, use the bending moment sign convention.Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a = 5 m, b = 3 m, PB = 55 kN, Pc = 75 kN, and PE = 25 kN. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. a PB Answer: Ay = i BO PB a B Pc a Calculate the reaction forces Ay and Dy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the free-body diagram.) D Pc D a D₂ PE a PE E kN, Dy= i -x E X kN.