(b) The cantilever of Figure 5 is now propped with a strut, BD, of area, a,...
For the cantilever beam shown in figure below, we have derived the deflection curve during the lecture as: r(z)-하-둬뿌 부] 48 Consider the magnitude of the distributed load q 1 N/m, length of the beam L 1 m, Young's modulus E-200 GPa and the 2nd moment of area about the bending axis is 1 = 250 cm". What is the reaction bending moment at the left end in N.m? Ya 2
(b) For the structure in Figure 4, use the Force Method to find the axial force in the tie, CD, due to the uniform loading, q-10 kN/m. Neglect axial deformation in the frame, ABC. The product of Young's modulus and 2nd moment of area for the beam, ABC, is EL The tie, CD, has the same Young's modulus and an area of, a = 100 (60%) Page 2 of 7 5 Figure 2 Figure 3 Figure 4
(40 points) For the shown cantilever a. Find the reactions. (5 points) b. Draw the shear diagram. (5 points) c. Draw the moment diagram.(10 2 KN 250 mm-.--300 mm 4 KN 250 mm points) Determine the maximum tensile and compressive bending stresses (10 points) 20 mm d. 70 mm e. Determine the shear stress at point B 20 mm 50 mm on the web of the cantilevered strut at section a-a. (10 points)
1. (28 pts) A cantilever beam is subjected to the loads as shown in the figure. Va) Draw a free-body diagram and determine the supports at point 0. b) Draw shear and moment diagrams and find the values at key points (i.e. x = 0, 6 and 10 ft). If possible, please show your calculations. c) Find shear force V(x) and bending moment M(x) for () <x<6 ft. 12 10 kip 2 kip/ft skip سے 40 kip.lt 611 4 11...
8. The cantilever beam in Figure Q8 subjects to concentrated loading. The cross section geometry gives the second moment of area / 100 x 10 m. The longitudinal geometry of the beam: a 2 m, b 1 m. The material of the beam: Young's modulus E 200 GPa. The loading: concentrated force P 10 KN. (a) Determine the reactions to the beam at the fixed end. (b) Determine the rotation angle at point x-a (c) (Determine the deflection at the...
Q5. The cantilever beam, AC, is subjected to the load case shown in Figure 5. For the loading shown, do the following: [10 Marks] a) Calculate the magnitude and direction of the reactions at A b) Using the Macaulay function, determine the displacement in y of the point B of the beam (x 2.4 m from the support at A) [10 Marks] c) Determine the slope at B. [5 Marks] The beam has a Young's modulus of E-200 GPa and...
Question I.5 Figure 1.5 shows a frame with loads at A and D. Select the closest value for the magnitude of the total reaction at B. Assume the weight of the frame is zero. 40 kN VE 96.2 kN (a) (Ь -40 kN 5 m (c) -87.5 kN 30 kN (d) 57 kN 4m ao 1 m (e) 50 kN Figure L.5 Low mass frame Question I.6 In the shear and bending moment equations for beams, which of the following...
A tubular steel column CD supports horizontal cantilever arm ABC, as shown in the figure. Column CD has an outside diameter of 9.000 in. and a wall thickness of 0.460 in. The loads are PA = 300 lb and Pb = 540 lb. Dimensions of the structure are a = 6.3 ft, b= 8.0 ft, and c = 14.0 ft. Determine the maximum compression stress at the base of column CD. b a PA C B A D *Part 1...
Have I done part f) and g) correctly?
PART A: Structures Questions Three (3) questions; Answer all questions; The questions carry the number of marks indicated; Total marks for Part A is 24. Answer the questions on this Examination Question Paper in the spaces provided. Nothing written on an answer booklet, on scrap paper or else where will be marked for Part A. Signs and units are an essential part of any answer. Some formulas and solutions of elastic curves...
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S. Draw a possible stress strain graph for a material with a yield stress of 300 MPa, an elastic modulus of 200 GPa, a UTS of 450 MPa and a ductility of 20%. Calculate the elastic strain at the point where the material starts to plastically deform. 6. A nylon rope with an elastic modulus of 3 GPa is placed under a force of 17.5 kN. The cross-sectional area of...