Hinge supported beam is loaded by two concentrated forces and a couple. M F 2 1, Given: 1-40cm; 12=80cm; 13=70cm; F130N; F2 160N; M= 60N·m. Find: algebraical value of reactive force (in N) of fixed hinge (left support), considering it to be positive if directed upwards and negative if downwards. Answer:
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- a) A simply supported beam has a symmetrical rectangular cross-section. If the second moment of area (I) of a beam with a rectangular cross-section is11.50 x 106 mm4 about its centroidal x-axis and the depth dimension (d) of the rectangular section is 180 mm, determine the breadth dimension (b) for this beam section. Give your answer in millimetres (mm) and to 2 decimal places. Assume the beam section material is homogeneous. b) The same rectangular cross-section beam in Q2b is subjected to a maximum bending moment of 25,000 Nm and experiences sagging. Assuming that the centroidal axis passes through the beam section at (d/2), calculate the maximum bending stress (?max) the beam will experience. Give your answer in N/mm2 and to 2 decimal places.b)A simply supported beam has a symmetrical rectangular cross-section. If the second moment of area (I) of a beam with a rectangular cross-section is 11.50 x 106 mm4 about its centroidal x-axis and the depth dimension (d) of the rectangular section is 180 mm, determine the breadth dimension (b) for this beam section. Give your answer in millimetres (mm) and to 2 decimal places. Assume the beam section material is homogeneous c) The same rectangular cross-section beam in Q2b is subjected to a maximum bending moment of 25,000 Nm and experiences sagging. Assuming that the centroidal axis passes through the beam section at (d/2), calculate the maximum bending stress (?max) the beam will experience. Give your answer in N/mm2 and to 2 decimal places.a) The second moment of area about the centroidal x-axis (IXXcentroid) for the solid homogeneous beam section shown below is 737,101.55 mm4. What is the second moment of area about the centroidal y-axis (IYYcentroid). Give your answer in mm4 to two significant figures. b) If the second moment of area (IXX) for the solid homogeneous beam section shown below is 917,387.73 mm4, determine the diameter d. Give your answer in millimetres (mm) to two decimal places.
- Draw the Shear force diagram & Bending moment diagram for the cantilever beam as shown in figure, mark the salient points in the diagram. Neglect the self-weight of the beam, where F1 =30 N, F2=60N, F3 =60 N, F4 =80N, a =3 m, b=1 m, c=5 m, d=4 m The reaction at the fixed support "A" (unit in N)=_____________ Answer for part 1 (ii) Shear force at the point "A" (Unit in N) = ________ Answer for part 2 (iii) Shear force at the point "B" (Unit in N) = ________ Answer for part 3 (iv) Shear force at the point "C" (Unit in N) = ________ Answer for part 4 (v) Shear force at the point "D" (Unit in N) = ________ Answer for part 5 (vi) Shear force at the point "E" (Unit in N) = ________ Answer for part 6 (vii) Bending moment at the point "E"(unit in Nm) = ________________ Answer for part 7 (viii) Bending moment at the point "D"(unit in Nm) = ________________ Answer for part 8 (ix) Bending moment at the point "C"(unit in Nm) = ________________ Answer for part 9 (x) Bending moment…The figure shows a rigid bar that is supported by a pin at A and two rods, one made of steel and the other of bronze. Neglecting the weight of the bar, compute the force (in N) in the bronze rod caused by the 48512-Nload, using the following data: length of steel = 1.42 m, length of bronze = 2.36 m Area of steel = 639 mm, Area of bronze = 319 mm Modulus of elasticity of steel = 180 Gpa, Modulus of elasticity of bronze = 81 Gpa x = 0.58 m, y = 1.13 m, and z = 0.72 m. Round off the final answer to two decimal places.The figure shows a rigid bar that is supported by a pin at A and two rods, one made of steel and the other of bronze. Neglecting the weight of the bar, compute the force (in N) in the bronze rod caused by the 42563-Nload, using the following data: length of steel = 1.56 m, length of bronze = 2.18 m Area of steel = 563 mm, Area of bronze = 233 mm Modulus of elasticity of steel = 193 Gpa, Modulus of elasticity of bronze = 82 Gpa x = 0.69 m, y = 1.03 m, and z = 0.79 m.
- The dimensions are of the graph are d1 = 7 cm , L1 = 6 m , d2 = 4.2 cm , and L2 = 5 m with applied loads F1 = 130 kN and F2 = 60 kN . The modulus of elasticity is E = 80 GPa . Use the following steps to find the deflection at point D. Point B is halfway between points A and C. What is the reaction force at A? Let a positive reaction force be to the right.The figure shows a rigid bar that is supported by a pin at A and two rods, one made of steel and the other of bronze. Neglecting the weight of the bar, compute the force (in N) in the steel rod caused by the 43091-Nload, using the following data: length of steel = 1.36 m, length of bronze = 2.08 m Area of steel = 562 mm, Area of bronze = 243 mm Modulus of elasticity of steel = 215 Gpa, Modulus of elasticity of bronze = 102 Gpa x = 0.63 m, y = 1.01 m, and z = 0.84 m.3. A 3-meter-long beam is used to support a heavy object. The object has a uniform distributed load of 6 kN/m on the entire beam. The Young’s modulus and moment of inertia of the beam are 200 GPa and 5×105 mm4, respectively. The beam is supported at three positions as shown below. (a) Label the element and node numbers (either on the figure or with a new simple sketch). (b) Determine the slopes at the three support positions of the beam.
- GIVEN: L1=20 N GIVEN: a= 4m GIVEN: L2= 20 N GIVEN: b= 5m GIVEN: L3=20 N GIVEN: c= 6m GIVEN: L4= 0 N GIVEB: e= 3m GIVEN: L5= 10 N ANSWER: (a) Ax in N (b) Ay in N (c) Ex in N (d) Ey in N PLS SOLVE IN A COMPLETE SOLUTION AND WRITE LEGIBLY AND ALSO DRAW THE FREE BODY DIAGRAMWhat you will find by applying Composition of forces for a system of forces acting on a body? Select one: Resolution of forces Siding Forces Composition of forces Resultant of forcesConsider the image below: A horizontal beam of length 8 m is pinned at its left end so that it is free to rotate about that end. It has a nonuniform linear mass density given by λ(x) = 78 x (kg/m). Its right end is secured by a rope, the angle shown being 45 degrees. Calculate the magnitude of the tension in the rope, in N. (Please answer to the fourth decimal place - i.e 14.3225)