Question contains a hinge in the middle. Find the shear force and the bending moment at the Figure 3 shows the external loading conditions of a beam that cross-section A and B. A hinge 1.5m 1.5m 1m 1m 2m Fig. 3. The benan contains a hinge in the midle.
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- The column shown is fabricated from two C250 x 30 standard steel shapes (see Appendix B for its cross-sectional properties) that are oriented back-to-back with a gap of 33 mm between the two channels. The column is fixed at its base and free to translate in the y direction at its upper end. Translation in the z direction, however, is restrained at its upper end. A load P is applied at an offset distance of 430 mm from the channel flanges. Use the AISC equations given in Section 16.5, and assume that L = 4.1 m, s = 33 mm, E = 200 GPa, oy = 275 MPa, and (Gallow); = 145 MPa. Offset - distance e P Lateral bracing in z direction C250 x 30 L C250 x 30 Cross section.QUESTION 3 If the allowable bending stresses for a beam in one application is 6 kip/in2 in tension. The cross-section of the beam is W8 x 40. If the beam is 10 foot long and simply supported and has a concentrated load applied at x = 3 ft as shown below. • Generate the shear force and bending moment diagram in terms of P; • Based on the allowable maximum bending moment you just obtained above, calculate/ input the mazimm allowable value of the load P: please, pay attention to units, and calculate your answer to 1 decimal place.. 3 ft 7 ft kip.The beam is supported by a pin at point A and a roller at point C. A distributed load is applied to the beam. Neglect the weight and thickness of the beam. Hints: 1. will need to use similar triangles to find the height after sectioning at B. 2. Review direction of normal force, shear force and bending moment and which is positive or negative. W2 W1 A di d2 Values for the figure are given in the following table. Note the figure may not be to scale. Variable Value W1 190 N-m W2 440 N-m di 5 m d2 5 m a. Determine the magnitude of the normal force at point B, NB. . b. Determine the magnitude of the shear force at point B, VB- c. Is the shear force VB a positive or negative shear force? d. Determine the magnitude of the bending moment at point B, MB. e. Is the bending moment MB a positive or negative bending moment? Round your final answers to 3 significant digits/figures.
- The shear force is maximum at the sign change in a simply supported beam. Select one: O True FalseUse 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.Question 3 Draw the shear force and bending moment diagram for the loaded cantilever beam. And state the value of the shear force at: 3.1 x = 0.15L 3.2 x = 0.66L Take note that x is taken from the free end. P = 10 kN and L = 4 m P 0.42 L 0.58 L A
- PART 1 Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=3.5 m, b=2.0 m, PB = 2 kN, PC = 2 kN, and MB = 20 kN-m. 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. IMAGE* Calculate the reaction forces Ay and MA 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.) IMAGE* PART 2 Determine the shear force acting at each of the following locations:(a) x = 0+ m (i.e., just to the right of fixed support A)(b) x = 3.5– m (i.e., just to the left of B)(c) x = 3.5+ m (i.e., just to the right of B)(d) x = 5.5– m (i.e., just to the left of C)When entering your answers, use the shear force sign convention.Answer:(a) V = ? kN.(b) V = ? kN.(c) V = ? kN.(d) V = ? kN. PART 3…Question 3 Draw the shear force and bending moment diagram for the loaded cantilever beam. And state the value of the shear force at: 3.1 x = 0.15L 3.2 x = 0.66L Take note that x is taken from the free end. P = 10 kN and L = 4 m %3D 0.42 L 0.58 L AUse the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=4.0 m, b=2.5 m, PB = 4 kN, PC = 4 kN, and MB = 60 kN-m. 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 MA 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 bending moment acting at each of the following locations:(a) x = 0+ m (i.e., just to the right of fixed support A)(b) x = 4.0– m (i.e., just to the left of B)(c) x = 4.0+ m (i.e., just to the right of B)(d) x = 6.5 mWhen entering your answers, use the bending moment sign convention.Answers:(a) M = kN-m.(b) M = kN-m.(c) M = kN-m.(d) M = kN-m.
- Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=4.0 m, b=2.5 m, PB = 4 kN, PC = 4 kN, and MB = 60 kN-m. 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 MA 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 = kN, MA = kN-m.Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=4.0 m, b=2.5 m, PB = 4 kN, PC = 4 kN, and MB = 60 kN-m. 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 MA 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 = kN, MA = kN-m. Determine the shear force acting at each of the following locations:(a) x = 0+ m (i.e., just to the right of fixed support A)(b) x = 4.0– m (i.e., just to the left of B)(c) x = 4.0+ m (i.e., just to the right of B)(d) x = 6.5– m (i.e., just to the left of C)When entering your answers, use the shear force sign convention.Answer:(a) V = kN.(b) V = kN.(c) V = kN.(d) V = kN.Draw the simplified free-body diagram and below it the shear and bending moment diagrams. Show all necessary solutions. Let the analysis be from left to right. Determine the points of zero shear (if any), their distance from point A, and the bending moments at these points. Indicate the value of all the points, degree of all curves, and the maximum shear and maximum bending moment of the beam. Use the method of sections. Beam ABCD has a hanger connected at B and is supported by a roller at A and a pin at C. 100 N L1 This is not your own property so do not use it in any way as if it were your own. M L1= 206 N/m L2 = 30 N/m L3 = 214 N/m ° L4 = 89 N/m M = 89 N-m A Simplified of the you to repro 3. Any rexodus ers have Exploratory Distance x= L2 1.5 m Shear (N) D This is not your own property so do not use it in any way as if it were your own. 2.5m Bending Moment (N-m) L4 с L3