b) Find the vertical deflection at the hinge of the following structure using the virtual work principle P L

Using the virtual work method determine slope of the beam at "A". Beam is subjected to a uniformly Distributed Load “W" and a concentrated moment "WL^2" at “A" (Express the results in terms of W, L, and EI) w ikIft=constant)

sketch the deflected structure of this frame (just shape no exact values for how much deflection). This is linear analysis so only looking at the displacement of the nodes. Note that D is a hinge support, E is fixed and C is a roller

For the simply supported beam shown, find the slope at A and the maximum deflection. Using moment area method. Neglect the weight of the beam. The moment of inertia of segments AB and CD of the beam is I, and the moment of inetia of segment BC is 2I. L= 4ft, P= 4 kips, E= 30x 10^6 psi, I= 16 in^4

J.) For the rigid frame shown, calculate the horizontal deflection at point C. Members have the same moment of inertia of 1440 x 10 cm² and E is constant at 210 GPa. 120 kN/m B 120 kN/m A 4m P in KN 3m 5m P=229KN Solve using unit load method

Find the maximum angle of rotation for the shaft subjected to linearly %3D distributed torque. Tx) = kx,GJ constant. T(x)

Rod AB is made of steel (E = 29x106 psi), and rod BC is made of aluminum (E = 10.4x106 psi). If force Q = 10 kips, R =5 kips and P = 5 kips, find the deflections of points B and D. %3D 24 in 10 in- 10 in A B C R D 1 in diameter 3 in diameter

For the beam shown, obtain: A). Applying the double integration method, the rotation in the left support (A), and the deflection in (C). B). Applying the moment of area method, the rotation in (D), and the maximum deflection between supports A and B. C). Applying the conjugate beam method, the rotation in (B), and the deflection in (D). Use the following Values: a = 1.75 m, q = 2.25 kN/m. E = 200 Gpa, |= 200 x10^6 mm^4 Note: Please provide the deflection results in mm and rotation in degrees. 90² qa A B D C а