**Problem 4: Analysis and Design of a Precast T Beam**A precast T beam with specific dimensions is to be utilized as a bridge spanning a small roadway. This beam is implemented on a 30 ft simple span, carrying a total factored load inclusive of the beam's self-weight amounting to 15.6 kips/ft. For calculation purposes, assume the effective depth \(d = 21\) inches. The given material properties are concrete compressive strength \(f'c = 6000\) psi and yield strength of the reinforcement \(fy = 60000\) psi.**Tasks:**a. **Calculate the Maximum Mid-Span Moment (Mu):** Determine the maximum moment occurring at mid-span, referred to as Mu.b. **Check the Effective Width of the Beam:** Verify the effective width of the beam using ACI 318-19 Table 6.3.2.1 guidelines.c. **Examine T-Beam Design:** Analyze whether the T-Beam designed as a rectangular section can sustain the required Mu. If inadequate, redesign the section considering T-Beam parameters to determine the required reinforcement, keeping the strength reduction factor \(\phi\) near 0.9 (acceptable to adjust slightly below). Ensure correct \(\phi\) value calculation.d. **Sketch of Section with Bar Arrangement:** Provide a sketch of the beam section adhering to the stipulated bar arrangement guidelines. This diagram depicts the cross-section of a T-beam, which is a common structural element used in construction. The T-beam consists of a horizontal top flange and a vertical web.### Dimensions:- **Total Height (h):** 25 inches- **Width of Flange (bf):** 48 inches- **Height of Flange (hf):** 5 inches- **Width of Web (bw):** 16 inches### Description:The T-section of the beam is characterized by its horizontal flange and the perpendicular web that stems from it. The flange provides bending resistance, while the web provides shear resistance. This configuration offers an efficient structural shape in steel and concrete structures, allowing for effective load distribution.Understanding these dimensions is crucial for calculating the structural integrity and load-bearing capacity of the T-beam in various engineering applications.

4) A precast T beam with the dimensions shown below is to be a used as a bridge over a small roadway. The beam is used on a 30 ft simple span, and the total factored load including the beam's self-weight is 15.6 kips/ft. Assume d = 21" for your calculations. fc' = 6000 psi and fy = 60000 psi. a. Calculate the maximum mid-span moment - this is Mu b. Check the effective width of the beam as per ACI 318-19 Table 6.3.2.1 C. Check whether the T-Beam designed as a rectangular section would be able to provide the required Mu. If not, design the section as a T-Beam to calculate the required reinforcement. Try to keep close to 0.9 (it is okay if it's a little under). But calculate the correct value of .

4) A precast T beam with the dimensions shown below is to be a used as a bridge over a small roadway. The beam is used on a 30 ft simple span, and the total factored load including the beam's self-weight is 15.6 kips/ft. Assume d = 21" for your calculations. fc' = 6000 psi and fy = 60000 psi. a. Calculate the maximum mid-span moment - this is Mu b. Check the effective width of the beam as per ACI 318-19 Table 6.3.2.1 C. Check whether the T-Beam designed as a rectangular section would be able to provide the required Mu. If not, design the section as a T-Beam to calculate the required reinforcement. Try to keep close to 0.9 (it is okay if it's a little under). But calculate the correct value of .

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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Concept explainers

Types and properties of steel

Steel is an alloy of iron. It is formed by heating iron and combining carbon (0.1-1.7%) with it and minor amounts of other elements such sulfur, chromium, manganese, nickel, etc. Thousands of steel grades have been published, registered, or regulated around the world, each with its chemical composition, and special numbering systems have been devised in various countries to classify the vast number of alloys.

Question

**Problem 4: Analysis and Design of a Precast T Beam**

A precast T beam with specific dimensions is to be utilized as a bridge spanning a small roadway. This beam is implemented on a 30 ft simple span, carrying a total factored load inclusive of the beam's self-weight amounting to 15.6 kips/ft. For calculation purposes, assume the effective depth \(d = 21\) inches. The given material properties are concrete compressive strength \(f'c = 6000\) psi and yield strength of the reinforcement \(fy = 60000\) psi.

**Tasks:**

a. **Calculate the Maximum Mid-Span Moment (Mu):**
Determine the maximum moment occurring at mid-span, referred to as Mu.

b. **Check the Effective Width of the Beam:**
Verify the effective width of the beam using ACI 318-19 Table 6.3.2.1 guidelines.

c. **Examine T-Beam Design:**
Analyze whether the T-Beam designed as a rectangular section can sustain the required Mu. If inadequate, redesign the section considering T-Beam parameters to determine the required reinforcement, keeping the strength reduction factor \(\phi\) near 0.9 (acceptable to adjust slightly below). Ensure correct \(\phi\) value calculation.

d. **Sketch of Section with Bar Arrangement:**
Provide a sketch of the beam section adhering to the stipulated bar arrangement guidelines.

This diagram depicts the cross-section of a T-beam, which is a common structural element used in construction. The T-beam consists of a horizontal top flange and a vertical web.

### Dimensions:
- **Total Height (h):** 25 inches
- **Width of Flange (b<sub>f</sub>):** 48 inches
- **Height of Flange (h<sub>f</sub>):** 5 inches
- **Width of Web (b<sub>w</sub>):** 16 inches

### Description:
The T-section of the beam is characterized by its horizontal flange and the perpendicular web that stems from it. The flange provides bending resistance, while the web provides shear resistance. This configuration offers an efficient structural shape in steel and concrete structures, allowing for effective load distribution.

Understanding these dimensions is crucial for calculating the structural integrity and load-bearing capacity of the T-beam in various engineering applications.

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