Please help and show steps ### Designing a Rectangular Section for a Cantilever#### Problem Statement:Design a rectangular section for the cantilever shown in the figure. The beam weight is not included in the loads shown. Show sketches of the cross sections, including bar sizes, arrangement, and spacing. Assume concrete weighs 150 lb/ft³, \( f_y = 60,000 \) psi, \( f'_c = 4000 \) psi, and \( \rho = \frac{1}{4} \rho_b \).#### Parameters and Given Data:- Weight of concrete: 150 lb/ft³- Yield strength of steel, \( f_y = 60,000 \) psi- Compressive strength of concrete, \( f'_c = 4000 \) psi- Reinforcement ratio, \( \rho = \frac{1}{4} \rho_b \)- Point load, \( P_L = 20\, k \)- Uniform load, \( w_D = 2 \, k/ft \)- Length of the cantilever, \( L = 12 \, ft \)The diagram illustrates a cantilever beam with:- A point load \( P_L = 20k \) at the free end- A uniformly distributed load \( w_D = 2k/ft \) over the length of the cantilever (12 feet)#### Explanation of the Diagram:- The cantilever is shown as a horizontal beam fixed at one end.- The point load is located at the free end (right side).- The uniformly distributed load spans the entire length of the beam, with a value indicated as \( w_D = 2k/ft \).#### Design Process:1. **Determine the Maximum Moment:** Calculate the maximum moment caused by the applied loads.2. **Choose Suitable Dimensions:** Select initial dimensions for the rectangular section (width \( b \) and effective depth \( d \)).3. **Calculate Required Reinforcement:** Using the given parameters and the selected dimensions, calculate the required area of steel reinforcement (\( A_s \)).4. **Check and Adjust Section Dimensions:** Adjust the section dimensions as necessary to ensure structural adequacy and compliance with design codes.5. **Detail the Reinforcement:** Provide sketches showing the arrangement and spacing of reinforcement bars.This problem requires applying principles of reinforced concrete design, including moment calculations, selection of

Given data:- Yield strength of steel, fy=60000 psi Characteristic strength of concrete, f'c=4000…

Design a rectangular section for the cantilever shown in the figure. The beam weight is not included in the loads shown. Show sketches of the cross sections, including bar sizes, arrangement, and spacing. Assume concrete weighs 150 lb/ft³, fy = 60,000 psi, f = 4000 psi and p = Y/Pb P₁ = 20k "p=2k/ft 12'

Design a rectangular section for the cantilever shown in the figure. The beam weight is not included in the loads shown. Show sketches of the cross sections, including bar sizes, arrangement, and spacing. Assume concrete weighs 150 lb/ft³, fy = 60,000 psi, f = 4000 psi and p = Y/Pb P₁ = 20k "p=2k/ft 12'

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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