A rectangular beam has a cross section of b = 14 in., h = 22 in., and d = 19.5 in. It is reinforced with three No. 5 Grade 60 bars. The concrete strength is 5,800 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the neutral axis location of the cracked beam (measured from the top of the beam).

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

Choosing and implementing the correct or best type of training program to meet one’s goals is an example of which training principle?

For weeks 3-7 on-snow, participation is required due to this course being skill-based learning.

Cracks due to shear are able to cross into the compression zone of the member.

A simply supported beam with dimensions of b = 18 in., h = 22 in., d = 19.5 in., and L = 21 ft supports a uniform service (unfactored) dead load of 1.4125 kips/ft including its own self weight plus a uniform service (unfactored) live load of 0.8 kips/ft. The concrete is normal-weight concrete. The beam is reinforced with 2 No. 5 bars. The concrete strength is 9,100 psi, and the yield strength of the reinforcement is 60,000 psi. Determine the maximum applied bending moment due to the combined service loads (dead plus live), Ma.      

In deformed reinforcing bars, adhesion and lateral friction are insignificant sources of bond strength.

There are several types of stretching that can be used to aid in flexibility. In particular, dynamic stretching is which of the following?

A simply supported beam with dimensions of b = 18 in., h = 30 in., d = 27.5 in., and L = 22 ft supports a uniform service (unfactored) dead load of 2.2625 kips/ft including its own self weight plus a uniform service (unfactored) live load of 1.2 kips/ft. The beam is reinforced with five No. 8 Grade 60 bars. The concrete strength is 9,700 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the effective moment of inertia, Ie.The cracked moment Mcr = 166.2 kip-ft, and the maximum applied bending moment due to the combined service loads (dead plus live) Ma = 209.5 kip-ft. The neutral axis location of the cracked beam (measured from the top of the beam) is 6.8434 in.

A high-altitude spherical weather balloon expands as it rises, due to the drop in atmospheric pressure. Suppose that the radius r increases at the rate of 0.02 inches per second and that r = 36 inches at time t = 0. Determine the equation that models the volume V of the balloon at time t, and find the volume when t = 360 seconds. (5 points)