Find all solutions in the interval [0, 2π). tan x + sec x = 1 (5 points)

Determine the lightweight modification factor, λ, for a rectangular beam with b = 17 in. and d = 24 in., three galvanized No. 9 Grade 60 tension-reinforcement bars placed in the bottom of the beam, and No. 4 Grade 60 stirrups located every 8 in. along the span. Assume 7,000-psi lightweight concrete and a clear cover of 2 in.

The straight line theory is a plastic calculation that gives a good estimate of the concrete and steel stresses at ultimate loads. It is used to calculate the stiffness, EI, at ultimate loads, for deflection calculations, and steel stresses, for use in crack-width or fatigue calculations.

72. Fill in the translations below. ô  é  è  ê  ë  à  â  ç  ï  î  ù  û  û  œ a watch = une [1]

The fatigue strength of longitudinal bars is less than that of stirrups.

A simply supported beam with dimensions of b = 14 in., h = 30 in., d = 27.5 in., and L = 24 ft supports a uniform service (unfactored) dead load of 1.5375 kips/ft including its own self weight plus a uniform service (unfactored) live load of 1.2 kips/ft. The beam is reinforced with two No. 5 Grade 60 bars. The concrete strength is 7,600 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Using the effective moment of inertia, determine the immediate mid-span deflection of the beam due to the combined service loads (dead plus live).The effective moment of inertia Ie = 8,000 in.4.

50. Spell the following number in French. ô  é  è  ê  ë  à  â  ç  ï  î  ù  û  û  œ fourty-three = [1]

Match the phase of a turn with the definition of or movements that take place in that phase.  

Write the expression as the sine, cosine, or tangent of an angle. sin 57° cos 13° – cos 57° sin 13° (6 points)

In the long-term, the concrete frame of a building will shorten due to creep and the brick exterior will expand due to an increase in moisture content.