Draw a free body diagram and find the reaction forces at the supports A and C. Draw the shear force diagram (SFD) for the beam and show the values at A, B, C and D. Draw the bending moment diagram (BMD) and show the values at A, B, C and D.
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- Cantilever beam AB carries an upward uniform load of intensity q1from x = 0 to L/2 (see Fig. a) and a downward uniform load of intensity q from x = L/2 to L. Find q1in terms of q if the resulting moment at A is zero. Draw V and M diagrams for the case of both q and qtas applied loadings. Repeat part (a) for the case of an upward triangularly distributed load with peak intensity q0(see Fig. b). For part (b), find q0, instead of q1Figure Q2 shows the free body diagram of a 10 m long beam AD of uniform cross-section, simply supported at locations A and C. A uniformly distributed load of 10 kN/m is applied on the part AB of the beam together with a concentrated load of 20 kN at the end D. 10KN/m 20kN 4m 4m 2m X Fig.Q2: Structural Beam (a) Draw a free body diagram and find the reaction forces at the supports A and C. (b) Draw the shear force diagram (SFD) for the beam and show the values at A, B, C and D. (c) Draw the bending moment diagram (BMD) and show the values at A, B, C and D. 4. (d) From the SFD drawn in (b), find the distance from point A to the position between points A and B where there is no shear and determine the bending moment at that position. 5. (e) Write the mathematical expression for shear force V at section X-X between the points B and C which is at distance x measured from support A.Figure Q2 shows the free body diagram of a 10 m long beam AD of uniform cross-section, simply supported at locations A and C. A uniformly distributed load of 10 kN/m is applied on the part AB of the beam together with a concentrated load of 20 kN at the end D. 10kN/m 20kN AV 4m 4m 2m Fig.Q2: Structural Beam Draw a free body diagram and find the reaction forces at the supports A and C. (a) (b) Draw the shear force diagram (SFD) for the beam and show the values at А, В, С and D. (c) Draw the bending moment diagram (BMD) and show the values at A, B, C and D.
- Problem 3: A bent beam ABCD is held in equilibrium by a roller at A and by a pinned connection at D. The beam supports a uniform distributed load (80 lb/ft) over section AB and a concentrated force (390 lb) at point C. The roller at A rests against an inclined surface that is oriented 30° from the horizontal direction. Neglect the weight and depth of the beam and the size of the roller in this analysis. (a) Draw a complete FBD of beam ABCD. Clearly label all loads, reactions, and distances. (b) Determine all reactions at A and D. 80 lb/ft 30°/ 8 ft B 4 ft D 390 lb 12/12 3 ftQ2. Figure Q2 shows the free body diagram of a 10 m long beam AD of uniform cross-section, simply supported at locations A and C. A uniformly distributed load of 10 kN/m is applied on the part AB of the beam together with a concentrated load of 20 kN at the end D. 10KN/m 20kN AV B C D 4m 4m : 2m Fig.Q2: Structural Beam (a) Draw a free body diagram and find the reaction forces at the supports A and C. (b) Draw the shear force diagram (SFD) for the beam and show the values at A, B, C and D. (c) Draw the bending moment diagram (BMD) and show the values at A, B, C and D. (d) From the SFD drawn in (b), find the distance from point A to the position between points A and B where there is no shear and determine the bending moment at that position. (e) Write the mathematical expression for shear force Vat section X-X between the points B and C which is at distance x measured from support А.A 5 k N cylinder is supported by beam AB and cable as shown in figure, when the] force P is 0.63 kN and the distance L is 0.466 m. Determine the reaction at A( pin) on the beam and the forces exerted by the cylinder on the beam AB? Calculate * 1. 1)Tension of cable? * 2. 2)Horizontal reaction Ax of Coble beam ? 3. 3) Vertical reaction of beam Ay * 4. 4) Horizontal reaction of B cylinder R1? * 5. 5)Vertical reaction of cylinder 09 1.7 R2? *
- The beam shown in Figure Q.2 consists of a W610 × 140 structural steel wide-flange shape [E = 200 GPa; I = 1120 × 106 mm4]. If w = 68 kN/m and P = 121 kN , determine: Part A: The reactions at A, B, and D. Choose the reaction force at B as the redundant; therefore, the released beam is simply supported between A and D. a) Calculate the value of the deflection at point B due to uniformly distributed load w in the form ?? = ????????? / ?? Note: EI will cancel out in further calculations. Enter the numerator in the answer box below in kNm3 to three decimal places. Assume the positive direction of deflection in the positive direction of v axis. b) Calculate the value of the deflection at point B due to concentrated load P in the form ?? = ????????? / ?? Note: EI will cancel out in further calculations. Enter the numerator in the answer box below in kNm3 to three decimal places. Assume the positive direction of deflection in the positive direction of v axis. c) Calculate the vertical…The beam shown in Figure Q.2 consists of a W610 x 140 structural steel wide-flange shape [E= 200 GPa; /= 1120 x 106 mm²]. If w= 65 kN/m and P= 124 kN, determine: AY, V 1.5 m B W 3.5 m P C 2.5 m D Figure Q.2 Part A: The reactions at A, B, and D. Choose the reaction force at B as the redundant; therefore, the released beam is simply supported between A and D. Part B. The magnitude of the maximum bending stress in the beam. f) Find the maximum bending moment in the beam. Enter your answer in kNm to two decimal places. g) Calculate the magnitude of the maximum bending stress in the beam. Enter your answer in MPa to two decimal placesFigure Q2 (a) shows a simply supported beam ABCD under two point loadings at B and C, respectively. The SYMMETRICAL cross-section of the beam is shown in Figure Q2 (b). The beam is made of aluminium that behaves linearly-elastic perfectly-plastic with yield strength 150 MPa and modulus of elasticity 70 GPa. Find the value of P that causes the TOTAL DEPTH of the plastic zone to be 10 mm at the most critical location.
- - For the frame of the figure:a) Draw up the free-body diagram of the three elements that compose it, for the BCD element, set theequilibrium equations (summation of forces along the longitudinal axis "t" and the perpendicular "n", as well as thesummation of moments at point C). Note: it is not required to evaluate the reactions or the charges on the elements.b) Make a cut at the midpoint between C and D and “CALCUE” the internal loads numerically.Question 2 For the loaded beam shown in the figure below: 25 kN 20 kN 40 kN IB D 1m 3 m 5 m Figure Q2: Loaded beam 2.1 Determine the reaction forces at the points of support of the beam shown in the figure Q2 above by applying the principle of equilibrium of moments. (Start your solution by drawing a free body diagram of the beam). 2.2 Develop the equations for shear force and bending moment for the spans AB, BC and CD of the loaded beam shown above and for each equation developed, determine the values of shear force and bending moment at the points A, B, C and D. 2.3 Draw the shear force and bending moment diagrams for the loaded beam shown above.Q2. Figure Q2 shows the free body diagram of a 10 m long beam AD of uniform cross-section, simply supported at locations A and C. A uniformly distributed load of 10 kN/m is applied on the part AB of the beam together with a concentrated load of 20 kN at the end D. 10kN/m 20kN AV B 4m 4m 2m Fig.Q2: Structural Beam (d) From the SFD drawn in (b), find the distance from point A to the position between points A and B where there is no shear and determine the bending moment at that position. (e) Write the mathematical expression for shear force Vat section X-X between the points B and C which is at distance x measured from support А.