For the beam shown in the figure, determine the reaction at the supports 15km 20M 40 m 20 km

1. Determine the location y of the centroid C of the beam having the cross-sectional area shown in Figure 1. 150 mm B I C 150 mm -15 mm A 15 mm 15 mm 100 mm Figure 1: I-beam

12.18 0A and Aa. Reactions given. I=2690 in.*. 30 k 60 k A 10 ft 10 ft 15 ft 15 ft 20 ft 30 ft 2.62 k 65.63 k 21.75 k can you solve this problem with Conjugate Beam Method? E = 29*10^6psi %3D

For the beam supported at A and B as shown, is carrying two concentrated loads. RA 2 m PĮ 1 m B RB 1.5 m C If P = Q = 66.10 kN and El= 24x10^12 N-mm^2, What is the deflection at C in mm? (Numerical Value only)

6. A rigid lever arm supported by a pin at A and vertical wire at B is subjected to a downward force P as shown in the figure. If the lever arm rotates about the pin at A through an angle of /1,800 radians, (a) determine the elongation in mm of wire BD, (b) determine the magnitude offorce P in kN if it is 600 mm away from the pin at A, and (c) determine the normal strain in mm/mm developed in wire BD. Use Awire = 75 mm?, Ewire = 200 GPa. 300 mm P A 400 mm

Analyze the loaded beam as shown. Be guided as follows: Solve for the reactions at supports Draw Shear and Moment Diagrams Compute for deflection at A (AA) and slope at C (0c) using Conjugate Beam Method a. b. С. 50 kN 90 kN D A C 6 m 9 m 9 m El = constant E = 70 GPa %3D I = 95 (106) mm4

1. Determine the beam For the beams and loading shown below, EI is constant deflection at point C. 12 KN 10 kN/m A IC 2 m. 5 m 3. m

For the beam and loading shown in Fig.4, determine the deflection at points A and ( Knowing that flexural rigidity is EI=42 MN m². 5 018 ن 2 kN/m 1m B 2m 4 kN/m 2m

The basic differential equation of the elastic curve for a simply supported, uniformly loaded beam (Fig. P24.16) is given as d'y EI wLx_ wx 2 dx? 2 where E = the modulus of elasticity and I = the moment of inertia. The boundary conditions are y(0) = y(L) = 0. Solve for the deflection of the beam using (a) the finite-differ- %3D %3D ence approach (Ax = 0.6 m) and (b) the shooting method. The following parameter values apply: E 30,000 cm", w = 15 kN/m, and L = 3 m. Compare your numerical results to the analytical solution: = 200 GPa, I %3D wLx? wxt .3 wL'x y = 12 EI - 24 EI 24 EI

For the structure and loading shown below, find the lateral deflection at the top. Use E = 29,000 ksi and I = 250 in4 for all members. Note that in frames, we neglect axial deformation, so you can calculate the deflection at either of the upper corners; the answer will be the same. %3D 20 8K 10!