Please be clear with working out of each step, thank you
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Please be clear with working out of each step, thank you Question 3 (30 marks) A...
2. The governing differential equation that relates the deflection y of a beam to the load w ia where both y and w are are functions of r. In the above equation, E is the modulus of elasticity and I is the moment of inertia of the beam. For the beam and loading shown in the figure, first de m, E = 200 GPa, 1 = 100 × 106 mm4 and uo 100 kN/m and determine the maximum deflection. Note...
Q2. A simply supported beam AB (Figure 2) supports a uniformly distributed load of q = 18kN/m and a concentrated load of P = 23kN at the centre. Consider length of the beam, L = 3m, Young's modulus, E = 200GPa and moment of inertial, I = 30 x 10 mm-. Assume the deflection of the beam can be expressed by elastic curve equations of the form: y(x) = Ax4 + Bx3 + Cx2 + Dx + E. 1) Sketch...
Please make sure your handwriting is clear and readable. Thank you. :) 1. Determine the reactions and draw the shear and bending moment diagrams for the shown beam using slope-deflection method. 20 kN/m 60 KN El = constant E = 70 GPa 1 = 800 ( 1 00) mm4
QUESTION 34 The simply supported beam shown in the figure below is subjected to a 3 kN concentrated force. The beam has modulus of elasticity of E-70 GPa and area moment of inertia equals to l-126x10-6 m4 Question 34- Question 38] 3 kN 5 According to successive integration method Ely(x) = x3 (x-2)3 6 12 4 () x2 8 (x+ 1)2 4 QUESTION 36 C2 = 0 QUESTION 36 C2 - 0 2 3 QUESTION 37 C1- 1.33 1.5 2.3...
Question 2 Simply supported beam ABC is subject to a point load and the patch loads as indicated in Figure Q2. Assume the beam has a uniform cross-section size. The Modulus of Elasticity E = 210x106 kN/m2, second moment of area l=5x105 m. Determine the deflection of beam ABC at the middle point using MacCaulay's Method. Total (15) marks. -30 KN -6 kN/m -3 kN/m B 3 m 4 m * Figure Q2: Simply supported beam ABC
Figure 1 shows a beam is supported by a pin at A and a roller at C. The beam is subjected to point loads 30 kN and 60 kN and a uniformly distributed load of 24 kN/m. Modulus of elasticity, E and moment of inertia, I for all members are 205 kN/mm2 and 195 x 106 mm4, respectively. By using Virtual Work method, (a) determine the slope at B. (1.801 mrad) (b) determine the deflection at B and D. (2.4...
getting a few different answers and not sure what is correct. greatly appriciate the help Question 2 Simply supported beam ABC is subject to a point load and the patch loads as indicated in Figure Q2. Assume the beam has a uniform cross-section size. The Modulus of Elasticity E = 210x106 kN/m2, second moment of area l=5x105 m. Determine the deflection of beam ABC at the middle point using MacCaulay's Method. Total (15) marks. -30 KN -3 kN/m -6 kN/m...
Hi, could you please provide a clear and easy to follow worked solution for the following questions. I will leave feedback that reflects the quality of your response. The correct answers are 21.0kN.m 50.2MPa and 38.7MPa 22.6kN.m A beam with the section illustrated in the figure below is subjected to pure bending with compressive stresses induced above the neutral axis. The beam is steel with a yield strength of 450 MPa, modulus of elasticity of 210 GPa and Poisson's ratio...
QUESTION 33 The simply supported beam shown in the figure (18) below is subjected to a 3 kN/m uniformally distributed load. The beam has modulus of elasticity of E-200 GPa) and area moment of inertia equals to (/ 12.5 x 10 mm).Answer [Question 33-Question 361 3 kN/m 4 m Figure (18) The support reaction at point A in the y-direction (RAJ: (CLO6) (1 Point) 6.3 kN 48 kN 2 kN 6 kN
QUESTION 1 [25 marks A frame loaded with a uniformly distributed load at Member AB and point load at Member BC and joint B. It has pinned supports A and C, while joint B is fixed connected, as can be seen in Figure 1. Take E-200 GPa. a) Using the slope-deflection method, calculate the moments and illustrate the bending moment diagram. [15 marks) b) Then calculate the shear forces and sketch the shear force diagram. [10 marks) 22 KN 10...