Find the vertex of the graph of the function. (5 points) f(x) = (x + 6)2 + 3  

Determine the casting-position modification factor, ψt, for a rectangular beam with b = 16 in. and d = 20 in., five galvanized No. 7 Grade 60 tension-reinforcement bars placed in the top of the beam, and No. 3 Grade 60 stirrups located every 12 in. along the span. Assume 4,000-psi normal-weight concrete and a clear cover of 1.5 in.

If you are registered for KINES 12 you can opt not to snowboard and can instead join KINES 11 for skiing.

The stress in the reinforcement goes to zero at a crack.

A simply supported beam with dimensions of b = 18 in., h = 24 in., d = 21.5 in., and L = 19 ft supports a uniform service (unfactored) dead load of 2.05 kips/ft including its own self weight plus a uniform service (unfactored) live load of 0.8 kips/ft. The beam is reinforced with three No. 7 Grade 60 bars. The concrete strength is 10,000 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the effective moment of inertia, Ie.The cracked moment Mcr = 108 kip-ft, and the maximum applied bending moment due to the combined service loads (dead plus live) Ma = 128.6 kip-ft. The neutral axis location of the cracked beam (measured from the top of the beam) is 4.1961 in.

When a deformed bar is loaded for the first time, the adhesion and friction are quickly lost, leaving the bond to be transferred by _______.

A beam is singly reinforced with the reinforcement in two rows. The bottom row contains 9 No. 5 bars at a depth of 20 in. The top row contains 5 No. 5 bars at a depth of 15.5 in. Determine the effective (centroidal) depth, d, of the steel.

For economy, some of the bars can be terminated or cutoff where they are no longer needed.

44. Put the verb in parentheses correctly in the present tense. ô  é  è  ê  ë  à  â  ç  ï  î  ù  û  û  œ Vous (étudier) [1] en France ?

85. What is the verb that best fits the sentence below ? Tu [1]  les maths.