For the beam shown in Fig.Q4, use the principle of virtual work to determine (1) the vertical deflection at Point C, and (2) the rotation at the right-hand bearing (Point B). The Young's modulus of the material is E = 200 GPa. The cantilever beam has a circular cross section with the second moment of area / = 30 x 106 m². The beam is under a uniformly distributed load q=15 kN/m at the AB span and a point force P=27 kN at Point C. The length of AB span is L=9 m and the length of BC span is L₁ =3.6 m. (In this question, we assume (1) the positive direction of a vertical force points upwards; (2) the positive direction of a horizontal force points to the right; and (3) the postive direction of an applied moment is clockwise.) р ΑΔ L BA L₁ Part a) Reactions The vertical reaction force at support A can be calculated as The vertical reaction force at support B can be calculated as The horizontal reaction force at support A can be calculated as KN KN с KN 2

For the beam shown in Fig.Q4, use the principle of virtual work to determine (1) the vertical deflection at Point C, and (2) the rotation at the right-hand bearing (Point B). The Young's modulus of the material is E = 200 GPa. The cantilever beam has a circular cross section with the second moment of area / = 30 x 106 m². The beam is under a uniformly distributed load q=15 kN/m at the AB span and a point force P=27 kN at Point C. The length of AB span is L=9 m and the length of BC span is L₁ =3.6 m. (In this question, we assume (1) the positive direction of a vertical force points upwards; (2) the positive direction of a horizontal force points to the right; and (3) the postive direction of an applied moment is clockwise.) р ΑΔ L BA L₁ Part a) Reactions The vertical reaction force at support A can be calculated as The vertical reaction force at support B can be calculated as The horizontal reaction force at support A can be calculated as KN KN с KN 2

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Please answer fast and correct. I will hit the like. Don't copy from other site.
Problem 1) A simply supported beam is loaded as shown in Figure 1-A. Use E = 40 MPa and I = 5 x 10⁶ mm⁴. b) Determine the deflection at point B
SOLVE ONLY ONE OF THE FOLLOWING, using either the Unit Load Method/Method of Virtual Work or the Castigliano's Theorem: A A.) For the truss loaded as shown in Fig A, calculate the total deflection at joint D. Consider uniform cross sectional area A= 500mm² and modulus of elasticity E for all members is 200 GPa. B.) For the rigid frame shown in Fig B, calculate the horizontal deflection at point C. Members have the same moment of inertia of 1440 x 104 cm4 and E is constant at 210 GPa. P= 151 kN P in KN B H O G 4@3m 12 m Fig. A P in kN LL D 4m 120 kN/m B 120 kN/m A 4m Fig. B P in kN 3m 5m
Part C
1. Use Virtual Work Method to answer the questions below considering the truss shown in the figure. Assume A = 1200 mm?, E = 200 GPa and a = 12 x 10° /°C c. Vertical displacement of joint A in mm due to external force only. Put negative sign if its downward. d. Vertical displacement of joint A in mm due to -100 °C change in temperature in members AE and ED. Don't add deflection due to external loads or fabrication error. Put negative sign if its downward. a = 4.26 kN b = 5.5678 kN c = 3.79 m D "c" m A B "a" kN "b" kN "c" m "c" m
Using double integration method, compute the maximum deflection for the beam loaded as shown in the figure. Usee E=10GPa and I =4.5x10^6 mm^4
A simply supported beam is subject to a downwards uniform distributed load, w, as shown below. B A uniform distributed load, w L1 L2 The cross-section of the beam is constant with second moment of area I = 3750 mm², and Young's elastic modulus is E = 200 GPa. The distributed load has magnitude w = 220 N/m. If Point B is distance L₁ (Point C), calculate: the downwards vertical deflection at Point B: C C 435 mm from the left end (Point A) and distance L2 = 385 mm from the right end Round your answer to 3 significant figures. X [Units: mm]
use hand writing it is fine
1: Both portions of the rod ABC are made of an aluminum for which E= 70 GPa. Knowing that the magnitude of P is 4 kN and Q is 16.8 KN check the deflection at A. C 20 mm diameter 0.4 m 40 min diameter 0.5 m 199
Deflections in the beams can be reduced by .? a. Increasing the length of the beam b. Increasing moment of inertia c. Decreasing the moment of inertia d. Increasing the load Check