7.5 (A/B). Fig. 7.18 shows the cross-section of a beam which carries a shear force of 20 kN. Plot a graph to scale which shows the distribution of shear stress due to bending across the cross-section. [I.Mech.E.] [21.7, 5.2, 5.23 MN/m².] 12 mm 75 mm 40mm -50mm-
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- The fig 1.1, given above, take the value of X= (130) use segmentm ethod and determine a) Shear force and bending moments.And Plot Shear Force Diagram (SFD) and Bending Moment Diagram (BMD).7.1 (A/B). A uniform I-section beam has flanges 150 mm wide by 8 mm thick and a web 180 mm wide and 8 mm thick. At a certain section there is a shearing force of 120 kN. Draw a diagram to illustrate the distribution of shear stress across the section as a result of bending. What is the maximum shear stress? [86.7 MN/m².] 7.2 (A/B). A girder has a uniform T cross-section with flange 250 mm x 50 mm and web 220 mm x 50 mm. At a certain section of the girder there is a shear force of 360 kN. Plot neatly to scale the shear-stress distribution across the section, stating the values: (a) where the web and the flange of the section meet; (b) at the neutral axis. [B.P.] [7.47, 37.4, 39.6 MN/m².] 7.3 (A/B). A beam having an inverted T cross-section has an overall width of 150 mm and overall depth of 200 mm. The thickness of the crosspiece is 50 mm and of the vertical web 25 mm. At a certain section along the beam the vertical shear force is found to be 120 kN. Draw neatly to scale, using 20mm…Develop an expression for the shear force V(x) as a function of position (x) along the beam.
- Hi, can you please help me with these diagrams? Please be as clear as possible with the FBDs.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 a=8.5 ft, b=24.0 ft, P = 30 kips and w = 5.5 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.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 shear force acting at each of the following locations:(a) x = 8.5- ft (i.e., just to the left of point B)(b) x = 8.5+ ft (i.e., just to the right of point B)(c) x = 30.5 ftNote that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2. Determine the bending moment acting at each of…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 a=2.75 m, b=5.00 m, PB = 60kN, and Pc = 80kN. 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: Ay = a Dy= a B 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.) 36.66 BO 103.33 PB a PB Pc a Pc KN b KN b D D x P X
- For the simply supported beam subjected to the loading shown, derive equations for the shear force Vand the bending moment M for any location in the beam. (Place the origin at point A.) Let a=2.50 m, b=4.25 m, PB = 45kN, and Pc = 90kN. 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: Ay = Dy= Mi i B 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.) PB a PB B a Pc a Pc C kN b KN b D X D₂ XFor 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 a=11.5 ft, b=19.0 ft, P = 50 kips and w = 8.5 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 Answers: Ay= Cy= 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: (a) V= (b) V= (c) V= Answers: (a) M= a (b) M= B a Answers: Mmax = B Xmax= kips W kips Determine the shear force acting at each of the following locations: (a) x = 11.5-ft (i.e., just to the left of point B) (b)x= 11.5+ ft (i.e., just to the right of point B) (c) x = 28.5 ft Note that x = 0 at support A. When entering…50 kN *** w 1* 4 m 3 kN/m 5 75 kN 37° Draw the shear force diagram and the bending moment diagram for the anchor beam below.
- 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 a=6.5 ft, b=24.0 ft, P = 32 kips and w = 9.5 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. 1. 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.) 2.Determine the shear force acting at each of the following locations: (in kips)(a) x = 6.5- ft (i.e., just to the left of point B)(b) x = 6.5+ ft (i.e., just to the right of point B)(c) x = 28.5 ft 3.Determine the bending moment acting at each of the following locations: (in kips-ft)(a) x = 6.5 ft (i.e., at point B)(b) x = 28.5 ft 4.Use your…For the simply supported beam subjected to the loading shown, derive equations for the shear force Vand the bending moment M for any location in the beam. (Place the origin at point A.) Let a=2.75 m, b=5.00 m, PB = 60KN, and Pc = 80kN. 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: Ay = Dy= tel tel a i B 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.) PB B a PB Pc a C Pc C KN b KN D b D X D₂ Xv Part 1 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 a=9.5 ft, b=20.0 ft, P = 45 kips and w = 10.0 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 b Calculate the reaction forces A, and C, 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 A, = 0, it has been omitted from the free- body diagram.) B C a b. Answers: Ay = kips kips