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for all problems is constant. The flexural rigidity EI following...
(2) A simply supported beam of flexural rigidity El carries a constant uniformly distributed load of...
(2) A simply supported beam of flexural rigidity El carries a constant uniformly distributed load of intensity p per unit length as shown Figure 2 below. Assume the deflection shape to be a polynomial in x, and is given by v (x) = a., + as+ a2 x, where ao, a.呙are constants to be determined. (a) State the boundary conditions for the deflection equation. Using the boundary conditions stated in (a) and the Rayleigh-Ritz method, determine (b) the constants a,...
need detailed process and pretty handwriting 4, (20%) For the ideal column shown, by solving the differential equation Elv"+Pv0, determine (a) the critical load Per, (b) the equation of the bu...
need detailed process and pretty handwriting
4, (20%) For the ideal column shown, by solving the differential equation Elv"+Pv0, determine (a) the critical load Per, (b) the equation of the buckled shape. (Hint: let k P(EI)) ** The general solution to the o.d.e. v', + k 2 v = 0 s v(x) C sin kx+ C2 cos kx hv using Mohr's circle, 5. (15%) For
4, (20%) For the ideal column shown, by solving the differential equation Elv"+Pv0, determine (a)...
A simple beam AB supports a concentrated load P acting at distances a and b from...
A simple beam AB supports a concentrated load P acting at distances a and b from the left-hand and right-hand supports, respectively (Fig. 9-12a). Determine the equations of the deflection curve, the angles of rota- tion a and at the supports, the maximum deflection 9mx, and the deflection &c at the midpoint C of the beam (Fig. 9-12b). (Note: The beam has length L and constant flexural rigidity El.) Fig. 9-12 Example 9-3: Deflections of a simple beam with a...
Determine the vertical displacement of point D under flexure using virtual-work equations. Flexural Rigidity (EI) of...
Determine the vertical displacement of point D under flexure using virtual-work equations. Flexural Rigidity (EI) of the beam is constant. S=3 and your distributed load is w=S+1=4 kN/m) Results table Ad,vertical w=(S+1) kN/m Α. B D 6 m 3 m 3 m K * Figure 4.
Q2. A simply supported beam AB (Figure 2) supports a uniformly distributed load of q =...
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...
Bachelor of Engineering Technology (Civil) Program School of Engineering, Design and Construction...
Bachelor of Engineering Technology (Civil) Program School of Engineering, Design and Construction ENGINEERING MATHEMATICS 2 (BET 203) Assignment-: Differential equations Answer all questions showing your work very clearly Attach completed Assignment cover sheot Please note that class participation is compulsory for this Assessment Duc date: 2A 2019 (6.00 pm) late submissions will incur 10% of penalty each day it is late. All work produced must be neat and clear. Word processed is preferred. 1. The cantilever beam AB of length...
What is the reaction Ax to the nearest 0.01 kN for the following frame? El are...
What is the reaction Ax to the nearest 0.01 kN for the following frame? El are constant and the same for all members. Consider only bending energy. W = 67 kN/m w -5 m-+ 10 m ---5 m 5 m А B 422 CHAPTER 10 ANALYSIS OF STATICALLY INDETERMINATE STRUCTURES BY THE FORCE METHOD 10.5 Force Method of Analysis: Frames The force method is very useful for solving problems involving statically indeterminate frames that have a single story and unusual...
(2) A simply supported beam of flexural rigidity El carries a constant uniformly distributed load of intensity p per unit length as shown Figure 2 below. Assume the deflection shape to be a polynomial in x, and is given by v (x) = a., + as+ a2 x, where ao, a.呙are constants to be determined. (a) State the boundary conditions for the deflection equation. Using the boundary conditions stated in (a) and the Rayleigh-Ritz method, determine (b) the constants a,...
need detailed process and pretty handwriting
4, (20%) For the ideal column shown, by solving the differential equation Elv"+Pv0, determine (a) the critical load Per, (b) the equation of the buckled shape. (Hint: let k P(EI)) ** The general solution to the o.d.e. v', + k 2 v = 0 s v(x) C sin kx+ C2 cos kx hv using Mohr's circle, 5. (15%) For
4, (20%) For the ideal column shown, by solving the differential equation Elv"+Pv0, determine (a)...
A simple beam AB supports a concentrated load P acting at distances a and b from the left-hand and right-hand supports, respectively (Fig. 9-12a). Determine the equations of the deflection curve, the angles of rota- tion a and at the supports, the maximum deflection 9mx, and the deflection &c at the midpoint C of the beam (Fig. 9-12b). (Note: The beam has length L and constant flexural rigidity El.) Fig. 9-12 Example 9-3: Deflections of a simple beam with a...
Determine the vertical displacement of point D under flexure using virtual-work equations. Flexural Rigidity (EI) of the beam is constant. S=3 and your distributed load is w=S+1=4 kN/m) Results table Ad,vertical w=(S+1) kN/m Α. B D 6 m 3 m 3 m K * Figure 4.
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...
Bachelor of Engineering Technology (Civil) Program School of Engineering, Design and Construction ENGINEERING MATHEMATICS 2 (BET 203) Assignment-: Differential equations Answer all questions showing your work very clearly Attach completed Assignment cover sheot Please note that class participation is compulsory for this Assessment Duc date: 2A 2019 (6.00 pm) late submissions will incur 10% of penalty each day it is late. All work produced must be neat and clear. Word processed is preferred. 1. The cantilever beam AB of length...
What is the reaction Ax to the nearest 0.01 kN for the following frame? El are constant and the same for all members. Consider only bending energy. W = 67 kN/m w -5 m-+ 10 m ---5 m 5 m А B 422 CHAPTER 10 ANALYSIS OF STATICALLY INDETERMINATE STRUCTURES BY THE FORCE METHOD 10.5 Force Method of Analysis: Frames The force method is very useful for solving problems involving statically indeterminate frames that have a single story and unusual...
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