Q3-Determine slope and deflection of the beam using virtual work and castigliano theorems. Mo-200kN.m El-8000kN.m2, L-8m(35P)...
For the steel beam shown in the figure, compute the slope at A and C. Also, determine the location and value of the maximum deflection. If the maximum deflection is not to exceed 0.6 in, what is the minimum required value of I? El is constant and E= 29000 ksi We were unable to transcribe this imageCompute the slope of the elastic curve at B and C and the deflection at C for the cantilever beam shown in the figure....
A simply supported uniform beam (with length L and flexural rigidity El) carries a moment Mo (clockwise) at a distance -21B away from the left end (x-0). Calculate the deflection () and slope (dv/de) at 21/3 by using the Rayleigh-Ritz Method. Assume a deflection curve of the form v-asin(rx/L), where a is to be determined
Question 3: (8 Marks) Apply Moment Area Theorems and Conjugate Beam Method to determine the slope and deflection at points B and C of the beam (Figure 3). El constant. 20 kN 400 kNm 15m 10 m Figure 3
Using Moment area theorems, calculate the slope at A and maximum deflection for the beam shown in figure below. Given E= 200 kN/mm2 and I= 1 x 10-4 m4. [Note: Take 'w' as last digit of your id. If the last digit of your id is zero, then take w = 12] Compare the moment area method with other methods of calculating the deflection of beams.
For the cantilever beam with a constant El and loading shown, using the superposition method to determine 1) the deflection at B; 2) the slope at B. MWL Mo= 6
Using Conjugate Beam Method, Determine the Deflection and slope at mid-span of a simply supported beam, as shown in figure Using Conjugate Beam Method, Determine the Deflection and slope at mid 40 kN 60 kN
2. Determine the vertical deflection at point C of the beam shown in Figure 2 with the virtual work method. PE 10 kN 2 kN/m El constant E= 2x 105 MPa 1-1x10 mm Figure 2 2. Determine the vertical deflection at point C of the beam shown in Figure 2 with the virtual work method. PE 10 kN 2 kN/m El constant E= 2x 105 MPa 1-1x10 mm Figure 2
3. (35p) Consider a cantilever beam of length I. and circular section of radius R. The beam is loaded in pure bending by a moment M applied at the free end a) Write the value of the deflection of the free end as predicted by linear elasticity. This is given in any Strength of Materials text and available online. Consider the Young's modulus of the beam material to be E. Assume the beam is heated up to a homologous temperature...
(3) Use the method of virtual work to determine the slope and the yertical deflection at (10 points) point C 120 kN m 100 kN A В 6 m 3m 21 E constant 70 GPa I = 500 (106) mm
3. Determine the slope and deflection at point B using the direct integration method. El is constant. (30 pts.) 15 k 20 ft