Determine the location of the neutral axis at failure

Assignment Help Civil Engineering

Reference no: EM13546879

Given a reinforced concrete beam made with 3000psi concrete and grade 40 steel. The effective width is 12 inches, the beam depth is 24 inches and the reinforcement is 4#7 bars centered 2-1/2 inches from the bottom of the beam. The beam carries its own weight and a single live concentrated load of 28k at the center of a 20 foot simply supported span.

a) Determine the steel ratio.

b) Prove the beam is over or under reinforced based on the limiting ? for a tension controlled beam.

c) Determine the location of the neutral axis at failure (yielding).

d) Find the ultimate moment capacity according to ACI 318.

e) Determine the design moment (the factored moment caused by the beam loading).

f) Based on your solution to (d) and (e) prove whether or not this beam expected to fail?

Reference no: EM13546879

Questions Cloud

How much money will be saved in energy each year : An electric water heater held at 140 °F is kept in a 70 °F room. When purchased, its insulation is equivalent to R-5. An owner puts a 25-ft2 blanket on the water heater, raising its total R value to 15.

Determine the veolicty of the cart at the instant package : A 20-lb package is thrown with a speed of 9 ft/s onto the 100-lb cart at the given angle of 30 degrees. It slides on the smooth cart and strikes the spring. If the spring has a spring constant k= 200 lb/in

Determine the magnitudes of the horizontal and vertical : A man having the mass of 77 kg sits in the chair which is pin-connected to the frame BC. If the man is always seated in an upright position, determine the magitudes of the horizontal and vertical reactions of the chair

What is its angular speed 0.1 seconds later : A disk of radius 0.2m and moment of inertia 1.5 kg*m^2 is mounted on a nearly frictionless axle. A string is wrapped tightly around the disk, and you pull on the string with a force of 25 N. After w while the disk has reached an angular speed ..

Determine the location of the neutral axis at failure : Given a reinforced concrete beam made with 3000psi concrete and grade 40 steel. The effective width is 12 inches, the beam depth is 24 inches and the reinforcement is 4#7 bars centered 2-1/2 inches from the bottom of the beam. The beam carries.

What is the new tension in the slinky : What is the new tension in the slinky? (assume the slinky acts as a spring that obeys Hooke's Law) 6) What is the new mass density of the slinky? 7) What is the new time it takes for a wave pulse to travel down the slinky? 8) If the new wave pu..

A transverse harmonic wave travels on a rope : A transverse harmonic wave travels on a rope according to the following expression:

A ?ywheel in the form of a heavy circular disk of diame : A ?ywheel in the form of a heavy circular disk of diame

What is the non-price strategy for the product : What is the Non-Price strategy for the product?

User Account

All Pages