


El is the constant for the whole beam.Determine the rotation at B and vertical deflection at...
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
5-Use moment area method. Determine the vertical displacement of point D. Use moment area method. A is fixed, B is a hinge and C is a roller. Note that El is not constant. 2KN 2 KN/m EI EI D 2EI 1m
5-Use moment area method. Determine the vertical displacement of point D. Use moment area method. A is fixed, B is a hinge and C is a roller. Note that El is not constant. 2KN 2 KN/m EI EI D...
Find vertical deflection and rotation at B. Use unit-load
method.
20KN/m 15 KN 4 m 1.5m1.5m5 m
P8.20. (a) Compute the vertical deflection and slope of the cantilever beam at points B and C in Figure P8.20. Given: El is constant throughout, L = 12 ft, and E = 4000 kips/in.?. What is the minimum required value of I if the deflection of point C is not to exceed 0.4 in.? P= 6 kips w = 1 kip/ft Kips А B C 6 6- P8.20
10 kips Determine the rotation at B and10 Kips vertical deflection at A for the beam shown below. Use E-29,000 ksi and I-200 in4. Consider that 1 A 一®.7 A: is not constant when finding M/EI OTT 21 12' .. D diagram. 6 6'
Solve graphically
(a) Rotation at D, θD; (b) Horizontal deflection at D, ΔDr. (c) Vertical deflection at D. AD 1.5 kip/ft 6 ft 15 kip 6 ft
(a) Rotation at D, θD; (b) Horizontal deflection at D, ΔDr. (c) Vertical deflection at D. AD 1.5 kip/ft 6 ft 15 kip 6 ft
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(b) State the importance of deflection analysis in structural design. Determine the vertical deflection at A for the beam (shown in Fig. 1b) using the Method of Superposition. El is constant for the beam. The support at B is a roller while the support at C is a pin. (8 Marks) 20 KN 20kN/m 40 kNm Fig. 1b Slope at End Maximum Deflection +upward) Load and Support (Length L) Equation of Elastic Curve +upward)...
Determine the slope (g) and deflection (AB) of Point B in terms of El. P = 12 kN and L = 9 m. Use the Moment-Area Method. Theorem 1: The angle between the tangents at any two points on the elastic curve equals the area under the M EI diagram between these two points. ALI Theorem 2: The vertical distance between the tangent at a point (A) on the elastic curve and the tangent extended from another point (B) equals...
Problem 6: The cantilever beam shown below has a constant El-10.000 kN·m2 and is subjected to a moment couple at B. Use the double integration method to compute the vertical deflection of the beam at free end A 100 kN-m 2 m
Determine the reactions and moments using
Slope-deflection method and draw V, M diagram
SITUATION 너-B 28 KN y1KH 38 KN/m 1.5T 2/KN-n 1m, 2m SLOPE- DEFLECTION METHOD: DETERMINE THE REACTIONS AND MOMENTS, AND DRAW SHEAR AND MOMENT DIAGRAM SOLUTION