Reinforced concrete design homework

H. El-Chabib, PhD. P. Eng.

CE 341/Design of Reinforced Concrete Structures 1/2

PENN STATE UNIVERSITY Department of Civil and Environmental Engineering

CE 341 – Design of Reinforced Concrete Structures

HW #2, Due on Monday, 05/23/2016

Using engineering papers solve the following problems neatly, professionally, and to scale.

Show all required information including diagrams, dimensions, and all calculations.

Problem #1: Determine the flexural capacity, ϕMn for the singly reinforced rectangular beams

having the following properties. Use strength reduction factors from ACI Code. Use beam 1 as a

reference, identify the most effective way to increase the flexural capacity of a reinforced

concrete beam and discuss.

Beam No. b (in.) d (in.) Bars f ’ c (psi) fy (psi)

1 12 22 3 No. 7 4,000 60,000

2 12 22 2 No. 9 plus 1 No. 8 4,000 60,000

3 12 22 3 No. 7 4,000 80,000

4 12 22 3 No. 7 6,000 60,000

5 12 33 3 No. 7 4,000 60,000

Problem #2: Determine whether the beam’s section shown satisfies ACI code requirements and

calculate its design moment capacity.

f ’ c = 4000 psi and fy = 60000 psi,

Problem #3: Figure 1 shows a floor plan consisting of a one-way slab spanning between beams

on grid lines A, B, C, and D. The beams are supported by columns at the intersections of the grid

lines. The slab supports a service dead and live load of 100 psf and 75 psf, respectively.

a) Determine the effective flange width for the continuous beam along grid line B at mid-span between grid lines 1 and 2. Assume hf = 5 in.

b) Determine the effective flange width for the continuous beam along grid line B at the column support B2. Assume hf = 5 in.

H. El-Chabib, PhD. P. Eng.

CE 341/Design of Reinforced Concrete Structures 2/2

Figure 1 – Floor Plan

Problem #4: Determine whether the beam’s section shown satisfies ACI code requirements and

calculate its design moment capacity. As = 6 #9

f ’ c = 4000 psi, fy = 60000 psi, and Es = 29000 ksi