Example 3 (H.W): Using Equivalent frame method for the reinforced concrete slab shown in figure below, find the distribution factors in the indicated strip, assume story height= 4 m (roof slab), h= 170 mm, fc'= 25 MPa, fy = 400 MPa, exterior column are 400*400 mm, interior column diameter= 450 mm, edge beam = (350* 550 ) mm, KAB(below)= 4.813. 6 m 6 m 6 m 6 m Strip A 6 m 6 m

Example 3 (H.W): Using Equivalent frame method for the reinforced concrete slab shown in figure below, find the distribution factors in the indicated strip, assume story height= 4 m (roof slab), h= 170 mm, fc'= 25 MPa, fy = 400 MPa, exterior column are 400400 mm, interior column diameter= 450 mm, edge beam = (350 550 ) mm, KAB(below)= 4.813. 6 m 6 m 6 m 6 m Strip A 6 m 6 m

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Problem: Design a section of a concrete beam reinforced for tension only. The beam is simply supported on a span of 6.00 m and carries a load of 18 KN/m. Use Alternate Method of Design with n = 9. f'c = 20.70 MPa, Fy = 275 MPa. Use b = d/2. Write your solutions on clean sheets of bond paper, scan properly. Note: Clear concrete cover for the beam: 40 mm Clear spacing between rebars: 25 mm (minimum) Minimum bar size to use as per ACI Code: 16 mm diameter Design for flexure only.
A rectangular beam section is limited to a size of b=250 mm and h=400 mm. Assume that bars in compression will be placed at 60 man from the compression fiber and bars in tension 60 mm from the tension fiber. Given that f'c=21 MPa and fy = 420 MPa 1. Calculate the amount of tension rebars that will have a minimum tensile strain of 0.005 compatible with concrete strain of 0.003 2. If the beam section will be reinforced with tension rebars at a minimum tensile strain of 0.005, calculate the required depth in men of uniform stress block on concrete in compression. 3. With this amount of tension rebars, calculate the design strength of the beam section in kN m. 4. For the beam to sustain a factored moment of 160 kN.m, what will be the required amount of tension steel area in mm² in addition to the tension rebars described in item #1. 5. Considering a doubly reinforced section with tension rebars at a tensile strain of 0.005, calculate the resulting compression stress in MPa…
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Example Problem Solution Find: Centroid of composite Solution: Divide into simple areas Find centroid of each section Find moment areas Sum areas and moment areas Compute centroid locations Section A, mm² 1 5,000 2 2,500 3 3,927 4 -1,963 Σ 9,463.5 x y = x, mm 50 66.67 121.2 70 Σ*A ΣΑ ΣÿA ΣΑ ỹ, mm 25 66.67 50 40 Show the table and complete solution. Example above. 1. Determine the moment of inertia of the composite area about the centroidal y axis. XA, mm³ A, mm³ 250,000 125,000 166,667 166,667 476,032 196,350 -137,445 -78,540 755,254 409,476 2. Locate the centroid y of the composite area, then determine the moment of inertia of this area about the x' axis. -15 -50-50- Dimensions in mm 150 BYU IDAHO
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Determine the location of the centroid of the symmetrical composite section, as shown in the following figure. 150 mm 15 mm 150 mm 50 mm @ 15 mm C 3
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Given a concrete column that would be required to support loads of Pu=400kips and Mu=50 kip-feet, we will determine the column interaction curve and decide if the column is adequate for this particular application. The column will be a 14”x14” square, tied column with #9 bars at the corners. The center of the reinforcement in each corner is 3” from each of the sides. The f’c of the concrete is 4 ksi and the reinforcement is Grade 60. Determine if the column is acceptable for this application. Calculate the value of Mu and Pu.
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