3- Use Macaulay functions to determine the equation of the elastic curve of the beam. The beam has a flexural stiffness of El. What is the rotation of the beam at point C for the case of a = 2b? P <<** a ② 이* b
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- Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a-9 ft, b=7 ft and w = 7.5 kips/ft. 21 Answers: Ay= W i a W B 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.) 31 a b B b kips, Cy= C i C X Cy X kips.Q1: For the beam Shown in Figure 1 16kN 4kN/m 4kN/m .A C B 3m 2m 2m 3m Figure 1 I. Find the reaction at support A RAy II. Find the reaction at support B RBy III. Find the bending moment at A IV. Find the bending moment at C V. Find the maximum absolute value of the shear force in the beam VI. Draw the shear force and bending moment diagram for the beamUNICARD 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…
- Q1: For the beam Shown in Figure 1 16KN 4kN/m 4kN/m .A C B 3m 2m 2m 3m Figure 1 I. Find the reaction at support A RAy II. Find the reaction at support B RBy II. Find the bending moment at A IV. Find the bending moment at C V. Find the maximum absolute value of the shear force in the beam VI. Draw the shear force and bending moment diagram for the beamA 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 B3 For the beam shown, find the reactions at the supports and plot the shear-force and bending-moment diagrams. V = 9 kN, V2 = 9 kN, V3 = 200 mm, and V4 = 1100 mm. ATAT-V3 Provide values at all key points shown in the given shear-force and bending-moment diagrams. X (mm) B A = B = C = D = E= F= P = Q = E * KN * KN * KN × KN KN x KN ✩ kN.mm *kN.mm D 0.00 Reaction force R₁ (left) = In the shear-force and bending-moment diagrams given, +V 0.00 X (mm) 6.3 kN and reaction force R2 (right) = P 11.7 kN. Q 0.00
- Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=11 ft, b=6 ft and w = 12 kips/ft.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.)Answers: Ay = kips, Cy = kips.Find the torsion constant of the following beam cross section.Use the method of superposition to find the angles of rotation 9Aand SBat the supports, and the maximum deflection for a simply supported beam subjected to symmetric loads P at distance a from each support. Assume that EI is constant, total beam length is L and a = U3. Hint: Use the formulas of Example 9-3.
- A beam with a sliding support at B is loaded by a uniformly distributed load with intensity q. Use the method of superposition to solve for all reactions. Also draw shear-force and bending-moment diagrams, labeling all critical ordinales.Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=4.0 ft, b=8.0 ft, c=4.0 ft, d=3.0 ft, w = 6.5 kips/ft and P = 45 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. a B a W B W C 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.) b C C P C D P Ľ E d E ·x EyUse the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=11 ft, b=6 ft and w = 12 kips/ft.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.)Determine the maximum bending moment that acts anywhere in the beam. When entering your answer, use the bending moment sign convention.Answer: Mmax = Enter your answer in accordance to the question statement kip-ft. Save for Later