1. Determine the products of C = Ax B'if 12 -11 107 13 -1 2 -4 A = B = 16 -69 -7 8. -3 20 -7 6. 15 -5,

10ft A k 10ft etermine the vertical displacement of Joint C A = 0.5 in² > E = 29 * 10³ ksi F B 4K 10 Pt E 10 ft 4K

Find the Solution of the following Integration 3 $(x²-2x²+ -2x² +7x-5)dx Use e/R=4/ 2 Solve the integral for the function 4 -2 (1-x-4x³ 1x5) dx @ Single Simpson (3h) Rule. டு 7 Multipule Simpson (3 h) Rule, with (n=5) 2 3 § X² Ina) dx 12-4 3 8 dx 16+X2

A composite beam is fabricated by bolting two 2-in.-wide by 12-in.-deep timber planks to the sides of a 0.4-in. by 12-in. steel plate. The moduli of elasticity of the timber and the steel are 1680 ksi and 29900 ksi, respectively. The simply supported beam spans a distance of 18 ft and carries two concentrated loads P, which are applied as shown. Assume LAB=LCD= 5 ft, LBC = 8 ft, b = 2 in., d = 12 in. and t = 0.4 in. (a) Determine the maximum bending stresses o,, Os produced in the timber planks and the steel plate if P = 3.1 kips. (b) Assume that the allowable bending stresses of the timber and the steel are 1190 psi and 19700 psi, respectively. Determine the largest acceptable magnitude for concentrated loads P. (You may neglect the weight of the beam in your calculations.) A LAB P B LBC syk b b Cross section C LCD D