Principles of Reinforced and Prestressed Concrete: Laboratory Plates by Kiara Sinense

PRINCIPLES OF REINFORCED AND PRESTRESSED CONCRETE LABORATORY PLATES SUBMITTED BY: KIARA OLEI MEDALLA SINENSE CEE31–T01



DE LA SALLE UNIVERSITY–DASMARIÑAS COLLEGE OF ENGINEERING, ARCHITECTURE AND TECHNOLOGY ENGINEERING DEPARTMENT CIVIL ENGINEERING PROGRAM PRINCIPLES OF REINFORCED AND PRESTRESSED CONCRETE LABORATORY PLATES SUBMITTED BY: KIARA OLEI MEDALLA SINENSE CEE31–T01 SUBMITTED TO: ENGR. ROBERLENE S. ABITONA PROFESSOR



TABLE OF CONTENTS PLATE NO.0 CONCRETE AS CONSTRUCTION MATERIAL PLATE NO.1 ANALYSIS OF REINFORCED RECTANGULAR CONCRETE BEAMS PLATE NO.2 ANALYSIS OF REINFORCED CONCRETE T–BEAMS AND DOUBLY REINFORCED RECTANGULAR BEAMS PLATE NO.3 DESIGN OF BEAMS FOR FLEXURE PLATE NO.4 SHEAR IN BEAMS PLATE NO.5 REINFORCED CONCRETE SLAB PLATE NO.6 REINFORCED CONCRETE COLUMNS PLATE NO.7 PRESTRESSED CONCRETE



De La Salle University - Dasmariñas COLLEGE OF ENGINEERING, ARCHITECTURE AND TECHNOLOGY Engineering Department Civil Engineering program T-CEET325LA PLATE NO. 0 CONCRETE AS CONSTRUCTION MATERIAL SINENSE, KIARA OLEI M. Rating: CEE 31 (TO1) T-CEET325LA 2nd Sem. SY 2020-2021 Date of Submission: March 19, 2021 Submitted to: Engr. ROBERLENE S. ABITONA

SINENSE, KIARA OLEI M. PLATE NO. 0 PAGE NO. CEE 31 2nd sem., SY 2020-2021 CONCRETE AS CONSTRUCTION 1 MATERIAL NO. OF PAGES: 5

SINENSE, KIARA OLEI M. PLATE NO. 0 PAGE NO. CEE 31 2nd sem., SY 2020-2021 CONCRETE AS CONSTRUCTION 2 MATERIAL NO. OF PAGES: 5

SINENSE, KIARA OLEI M. PLATE NO. 0 PAGE NO. CEE 31 2nd sem., SY 2020-2021 CONCRETE AS CONSTRUCTION 3 MATERIAL NO. OF PAGES: 5

SINENSE, KIARA OLEI M. PLATE NO. 0 PAGE NO. CEE 31 2nd sem., SY 2020-2021 CONCRETE AS CONSTRUCTION 4 MATERIAL NO. OF PAGES: 5

SINENSE, KIARA OLEI M. PLATE NO. 0 PAGE NO. CEE 31 2nd sem., SY 2020-2021 CONCRETE AS CONSTRUCTION 5 MATERIAL NO. OF PAGES: 5

De La Salle University - Dasmariñas COLLEGE OF ENGINEERING, ARCHITECTURE AND TECHNOLOGY Engineering Department Civil Engineering program T-CEET325LA PLATE NO. 1 ANALYSIS OF REINFORCED RECTANGULAR CONCRETE BEAMS SINENSE, KIARA OLEI M. Rating: CEE 31 (TO1) T-CEET325LA 2nd Sem. SY 2020-2021 Date of Submission: May 17, 2021 Submitted to: Engr. ROBERLENE S. ABITONA

PLATE NO. 1 ANALYSIS OF REINFORCED RECTANGULAR CONCRETE BEAMS Problem 1: Determine the allowable resisting moment of the rectangular beam described below using the transformed area method, if maximum elastic stresses are fc = 9 MPa and fs = 140MPa, given the following data: Width of beam is 350 mm, total depth is 600mm, clear covering of 56 mm; n =9, tensile steel reinforcement is composed of one layer of 4-28mm diameter bars. Problem 2: For the singly reinforced beam, calculate the design strength under the following conditions: b = 250 mm; d = 400 mm; fc’= 21 MPa; fy = 420 MPa; As is 5-20 mm diameter bars. Problem 3: Compute the design strength of a doubly reinforced beam given the following data: Beam width: 420 mm Effective depth: 590 mm As: 6-28 mm dia. bars As’: 3-20 mm dia. bars Steel yield strength: 345 MPa Concrete strength: 20.7 MPa Clear cover of top bars up to main compressive reinforcement: 50mm

SINENSE, KIARA OLEI M. PLATE NO. 1 PAGE NO. CEE 31 2nd sem., SY 2020-2021 ANALYSIS OF REINFORCED 1 RECTANGULAR CONCRETE BEAMS NO. OF PAGES: 3

SINENSE, KIARA OLEI M. PLATE NO. 1 PAGE NO. CEE 31 2nd sem., SY 2020-2021 ANALYSIS OF REINFORCED 2 RECTANGULAR CONCRETE BEAMS NO. OF PAGES: 3

SINENSE, KIARA OLEI M. PLATE NO. 1 PAGE NO. CEE 31 2nd sem., SY 2020-2021 ANALYSIS OF REINFORCED 3 RECTANGULAR CONCRETE BEAMS NO. OF PAGES: 3



De La Salle University - Dasmariñas COLLEGE OF ENGINEERING, ARCHITECTURE AND TECHNOLOGY Engineering Department Civil Engineering program T-CEET325LA PLATE NO. 2 ANALYSIS OF REINFORCED CONCRETE T–BEAMS AND DOUBLY REINFORCEDRECTANGULAR BEAMS SINENSE, KIARA OLEI M. Rating: CEE 31 (TO1) T-CEET325LA 2nd Sem. SY 2020-2021 Date of Submission: May 17, 2022 Submitted to: Engr. ROBERLENE S. ABITONA

PLATE NO. 2 ANALYSIS OF REINFORCED CONCRETE T – BEAMS AND DOUBLY REINFORCED RECTANGULAR BEAMS Problem 1: Determine the design strength of a T-Beam giventhe following data: bf= 700 mm bw= 300 mm hf= 100 mm d = 500 mm fc' = 21 MPa fy= 414 MPa As: 5-20 mm dia. Problem 2: Compute the design moment strength of the beam section described below if fy = 420 MPa, fc’ = 21 MPa. d= 650 mm d’= 70 mm b = 450 mm As’: 3-28mm dia. As: 4-36mm dia

SINENSE, KIARA OLEI M. PLATE NO. 2 PAGE NO. CEE 31 2nd sem., SY 2020-2021 1 ANALYSIS OF REINFORCED CONCRETE T – BEAMS NO. OF PAGES: AND DOUBLY REINFORCED RECTANGULAR BEAMS 2

SINENSE, KIARA OLEI M. PLATE NO. 2 PAGE NO. CEE 31 2nd sem., SY 2020-2021 2 ANALYSIS OF REINFORCED CONCRETE T – BEAMS NO. OF PAGES: AND DOUBLY REINFORCED RECTANGULAR BEAMS 2

De La Salle University - Dasmariñas COLLEGE OF ENGINEERING, ARCHITECTURE AND TECHNOLOGY Engineering Department Civil Engineering program T-CEET325LA PLATE NO. 3 DESIGN OF BEAMS FOR FLEXURE SINENSE, KIARA OLEI M. Rating: CEE 31 (TO1) T-CEET325LA 2nd Sem. SY 2020-2021 Date of Submission: May 17, 2021 Submitted to: Engr. ROBERLENE S. ABITONA

PLATE NO. 3 DESIGN OF BEAMS FOR FLEXURE Problem 1: Using the Ultimate Strength Design Method, determine the required size (b x h) of a 6m rectangular simple beam and the amount of tension bars to sustain the following service loads. db= 16 mm fy = 420 MPa, fc’ = 21 MPa, wDL= 7 kN/m, wLL= 10 kN/m. Problem 2: Determine the theoretical steel areas required for tension of a rectangular section with b = 350 mm, d = 600 mm under a factored moment of 1,500 kN-m. If compression steel is required, assume it will be placed 70 mm from the compression fiber of concrete. Use fc’ = 28 MPa and fy = 420 MPa. Using a bar size of your choice, determine the number of bars required and design the bar lay-out. (For the purpose of laying-out, use 10mm diameter bars for stirrups.)

SINENSE, KIARA OLEI M. PLATE NO. 3 PAGE NO. CEE 31 2nd sem., SY 2020-2021 DESIGN OF BEAMS FOR FLEXURE 1 NO. OF PAGES: 2

SINENSE, KIARA OLEI M. PLATE NO. 3 PAGE NO. CEE 31 2nd sem., SY 2020-2021 DESIGN OF BEAMS FOR FLEXURE 2 NO. OF PAGES: 2

De La Salle University - Dasmariñas COLLEGE OF ENGINEERING, ARCHITECTURE AND TECHNOLOGY Engineering Department Civil Engineering program T-CEET325LA PLATE NO. 4 SHEAR IN BEAMS SINENSE, KIARA OLEI M. Rating: CEE 31 (TO1) T-CEET325LA 2nd Sem. SY 2020-2021 Date of Submission: June 13, 2022 Submitted to: Engr. ROBERLENE S. ABITONA

PLATE NO. 4 SHEAR IN BEAMS Problem: The reinforced concrete beam shown has a width of 380 mm and a total depth of 580 mm. It is loaded with a super imposed dead of 20 kN/m, and live load of 9.5 kN/m. PDL =100kN and PLL = 60kNThere are 3-20 mm diameter bars arranged in a single layer at the bottom of the beam, with a clear covering of 50 mm. Another 2 -20 mm diameter bars are located at the top of the beam with the same clear covering. Determine the critical spacing of 10mm diameter stirrups and provide a detail of stirrups spacing throughout the span. Use fc’ = 28MPa, fy = 414.5 MPa, fyt = 275 MPa.

SINENSE, KIARA OLEI M. PLATE NO. 4 PAGE NO. CEE 31 2nd sem., SY 2020-2021 SHEAR IN BEAMS 1 NO. OF PAGES: 2

SINENSE, KIARA OLEI M. PLATE NO. 4 PAGE NO. CEE 31 2nd sem., SY 2020-2021 SHEAR IN BEAMS 2 NO. OF PAGES: 2

De La Salle University - Dasmariñas COLLEGE OF ENGINEERING, ARCHITECTURE AND TECHNOLOGY Engineering Department Civil Engineering program T-CEET325LA PLATE NO. 5 REINFORCED CONCRETE SLAB SINENSE, KIARA OLEI M. Rating: CEE 31 (TO1) T-CEET325LA 2nd Sem. SY 2020-2021 Date of Submission: June 25, 2022 Submitted to: Engr. ROBERLENE S. ABITONA

PLATE NO. 5 REINFORCED CONCRETE SLAB Problem: Design Slab DEGH of the floor system shown below. Dead load pressure including the slab’s weight is estimated at 5.3 kPa while live load pressure is 2.4 kPa. Use fc’ = 21 MPa and fy = 345 MPa. The supporting beam is 350 mm x 500 mm. Use 12mm diameter bars.

SINENSE, KIARA OLEI M. PLATE NO. 5 PAGE NO. CEE 31 2nd sem., SY 2020-2021 REINFORCED CONCRETE SLAB 1 NO. OF PAGES: 2

SINENSE, KIARA OLEI M. PLATE NO. 5 PAGE NO. CEE 31 2nd sem., SY 2020-2021 REINFORCED CONCRETE SLAB 1 NO. OF PAGES: 2

De La Salle University - Dasmariñas COLLEGE OF ENGINEERING, ARCHITECTURE AND TECHNOLOGY Engineering Department Civil Engineering program T-CEET325LA PLATE NO. 6 REINFORCED CONCRETE COLUMNS SINENSE, KIARA OLEI M. Rating: CEE 31 (TO1) T-CEET325LA 2nd Sem. SY 2020-2021 Date of Submission: June 25, 2022 Submitted to: Engr. ROBERLENE S. ABITONA

PLATE NO. 6 REINFORCED CONCRETE COLUMNS Problem 1: Design a square tied column axially loaded with dead load of 700 kN and live load of 900 kN. Determine the number of bars needed. You can use one from 20mm dia, 25 mm dia or 28 mm dia. Bars. Use a steel ratio of 2% and clear cover of 40 mm for stirrups the size of which must be the appropriate one for the bars chosen. fc' = 28 MPa; fy = 420 MPa Problem 2: Determine the diameter of a spiral column axially loaded with 1100 kN dead load, and 1000kN live load. Use 28 mm diameter bars, 10mm spirals and steel ratio of 0.02. fc’ = 28MPa; fy=414MPa.

SINENSE, KIARA OLEI M. PLATE NO. 6 PAGE NO. CEE 31 2nd sem., SY 2020-2021 1 NO. OF PAGES: REINFORCED CONCRETE COLUMNS 2

SINENSE, KIARA OLEI M. PLATE NO. 6 PAGE NO. CEE 31 2nd sem., SY 2020-2021 2 NO. OF PAGES: REINFORCED CONCRETE COLUMNS 2

De La Salle University - Dasmariñas COLLEGE OF ENGINEERING, ARCHITECTURE AND TECHNOLOGY Engineering Department Civil Engineering program T-CEET325LA PLATE NO. 7 PRESTRESSED CONCRETE SINENSE, KIARA OLEI M. Rating: CEE 31 (TO1) T-CEET325LA 2nd Sem. SY 2020-2021 Date of Submission: June 25, 2022 Submitted to: Engr. ROBERLENE S. ABITONA

PLATE NO. 7 PRESTRESSED CONCRETE Problem: The simply supported I beam shown is to carry a uniformly distributed service dead and live load with a total of 8.02 kN/m over its 12.19 m spam, in addition to its own weight. Normal concrete having a density of 24 kN/m3 will be used. The beam will be pretensioned (with a draped/parabolic multiple 7 wire strands) at the neutral axis at the supports and varying to an eccentricity at midspan equal to 132mm. The prestress force Pi is 752 kN. Time dependent losses due to shrinkage, creep and relaxation is 15% of Pi. Find the flexural stresses at midspan and support sections under initial and final conditions.

SINENSE, KIARA OLEI M. PLATE NO. 7 PAGE NO. CEE 31 2nd sem., SY 2020-2021 PRESTRESSED CONCRETE 1 NO. OF PAGES: 1





DE LA SALLE UNIVERSITY–DASMARIÑAS COLLEGE OF ENGINEERING, ARCHITECTURE AND TECHNOLOGY ENGINEERING DEPARTMENT CIVIL ENGINEERING PROGRAM