The beam shown in Figure Q.2 consists of a W610 x 140 structural steel wide-flange shape [E=200 GPa; /= 1120 x 106 mm4]. If w=59 kN/m and P=129 kN, determine: 4.3, V 1.5 m B W 3.5 m P с 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.
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Calculate the magnitude of the maximum bending stress in the beam. Enter your answer in MPa to two decimal places
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- Find expressions for shear force V and moment M at v = L/2 of beam AB in structure (a). Express V and M in terms of peak load intensity q0and beam length variable L. Repeat for structure (b) but find Fand M at m id-span of member BC.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 placesThe beam shown in Figure Q.2 consists of a W610 x 140 structural steel wide-flange shape [E = 200 GPa; /= 1120 x 106 mm4]. If w=65 kN/m and P= 124 kN, determine: A AV, V 1.5 m B W 3.5 m P 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. a) Calculate the value of the deflection at point B due to uniformly distributed load win the form UB = numerator EI Note: E/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.
- 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 reaction at…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 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.
- Q3.Determine the reactions at the supports as shown in figure below. Note: [P = 28 kN [3 marks] 10 kN 8 kN 45 30 2 m 2 m 3 mA 27‑kg sing is attached to the right end of a horizontal beam (the beam's mass m = 7.7 kg). The left end of the beam is mounted into a wall and it's right end is supported by a string which makes an angle θ = 32° with the beam, see the picture below. Find the magnitude of the tension in the string. 1. The tension in the string, T Find the reaction force exerted by the wall on the beam. 2. The x component of the wall's reaction force, Rx = 3. The y component of the wall's reaction force, Ry =CE is a 10 m beam supported at point E by a ball and socket joint. Ball and socket joints provide reaction forces, but not reaction moments. D is at the midpoint between C and E. A horizontal force of -100 j is applied at point D. Two ropes are attached to point C, with unknown tensions TA and TB. Point A is at (4, 6, 0) while point B is at (-3, 4, 0). The system is in equilibrium. Find the magnitude of the tensions TA and TB. ITAI = |TB| = N N
- 1.2 p kN q kN/ m L = 14 m d = 4 m q = 100 kN/m p = 50 kN A В A Simply supported beam is Lm long and is subjected to a uniformly distributed load of q ķN/m applied for the full length of the beam and a concentrated load of p kN of the beam as shown. Draw the free body diagram of the given beam and find the support reactions.Figure 6: 5 m/ 5 m A 5 m B 20 KN A simple truss is subjected to 20 KN force at the point A as shown in Figure 6. The reaction force at point C is (in kN): (a) 20 Compression (b) 20 Tension (c) 30 Compression (d) 30 TensionA 1,400-N uniform boom at o = 58.5° to the horizontal is supported by a cable at an angle 0 = 31.5° to the horizontal as shown in the figure below. The boom is pivoted at the bottom, and an object of weight w = 1,850 N hangs from its top. w Pivot (a) Find the tension in the support cable. kN (b) Find the components of the reaction force exerted by the pivot on the boom. (Assume the positive x-direction is to the right and the positive y-direction is upward. Include the sign of the value in your answer.) horizontal component kN vertical component kN