7-27 For the cantilever beam shown in Fig. P7-27, write equa- tipns for the shear force V, and the bending moment M, for any section of the beam in the interval 0
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Given data:
- The load applied at end A is F = 1000 lb.
- The length of beam is L = 4 ft.
Consider a section X-X at a distance of x from free end and the value of x lies between 0 and 4 ft.
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- 31A beam is loaded and supported as shown in Fig. P7-31. Using the coordinate axes shown, write equations for the shear force V, and the bending moment M, for any section of the beam in the interval 4 ft < x < 8 ft. 2000 lb 5000 lb - 4 ft - 4 ft 4 ft gure P7-31Introductory Problems 7-49*) Draw complete shear and bending moment diagrams fo the beam shown in Fig. P7-49. y 2000 lb 6000 lb A B 4 ft* 8 ft - 4 ft - Figure P7-49A 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
- Determine the internal normal force and shear force, and the bending moment in the beam at points C and D. Assume the support at B is a roller. Point C is located just to the right of the 8-kip load. For your explanation section, complete a FBD of the other side of the beam from the version you did to solve the problem. 8 kip 40 kip · ft A to to D B- 8 ft 8 ft- -8 ftHaw-3 The compressiv Stresf (r)of a rectangular beam sectionis given by the fakmula: 6 M bh where Mis bending moment (24 x1 N-mm Pi axiat ferce (6x1o° N) , b is widthof section (30o mm) and h is height of Section (600 mm),if the errok in measuring (M)is +3-6 x lo° N-mmekkak in measuring (P) ir +18x1 x lo N anderror in measuring each (6) and h) 9 mmyuse khe tatat derivative to find the tatal isThe simply supported beam is subjected to the force F = 700 N and the uniform distributed load with intensity w = 150 N/m. Draw the shear force and bending moment diagrams (in your homework documentation) and determine the equations for V(r) and M(x). Take a = 0 at point A. 19 F a Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 5.2 m 2.6 m 3.12 m Support Reactions The reaction at A is N. The reaction at D is N. Shear Force and Bending Moment Equations In section AB: V(x)= N and M(x)= N-m. In section BC: v(x)- N and M(x)= N-m. In section CD: V(x)- N and M(x)= N-m. A
- 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"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 EyDraw Shear force and Banding moment diagrams P- 12 KN., WN= 22:5 kN/m, M= 30 kN: m. find may shear force and Bending moment |2 KN 12 kN M. 22.5 KN/m F B Im 1m Im. Im.
- Draw the shear force and bending moment diagrams for the beam with loading shown below, P= 16 kN, w= 30 kN/m, M=40 kN.m. Also, state the maxmium shear force and bending moment in the text box. (Upload the diagrams showing all key values with units as well as neat and clear calculations) P kN P kN w kN/m M KN.m A 0.5 m 1 m 1 m- 1 m- -1 mGiven the beam shown below, determine the shear force and bending moment at point C. Given the dimensions a = 2 m, b = 5.9 m and c = 2 m, and the load intensities e = 10 kN/m and f = 2 kN/m. e kN/m f kN/m am bm cm A B D Shear force (observe the up on the left, down on the right positive sign convention): SFc = Number Units (tolerance 0.2 kN) Bending moment (observe the sagging positive sign convention): BMc = Number Units (tolerance 1 kN*m)determine the diagram of the shear forces and bending moments in the beam shown below. Data P = 20kN, M = 60kNm, q = 10kN / m, a = 5m, b = 2m, c = 3, alpha = 60.