Republic of the Philippines
CATANDUANES STATE UNIVERSITY
               Virac, Catanduanes
PROBLEM SET 1 - CE 7/ Principle of Reinforced Concrete Design
Engr. Lowie Jay T. Tonio
   1. Draw the details of the most efficient beam in terms of flexure if the beam is cast-in-place, non-
      prestressed and not exposed to weather or in contact with the ground. Beam section: 250mm x
      380mm rectangular beam reinforced with 10mm diameter stirrups and 6pcs-2_ mm diameter
      longitudinal bars.
   2. A rectangular beam has b = 30_mm and overall depth of 550mm. Concrete compressive strength f’c
      = 27.6 MPa and steel yield strength fy = 276 MPa. Cover of concrete from the centroid of steel
      reinforcement is 75mm. Calculate the required tension steel area if the factored moment Mu = 120
      kNm.
   3. A reinforced concrete rectangular beam has width of 30_mm and effective depth of 50_mm. The
      beam is reinforced with 6-25mm diameter tension bars. f’c = 28 MPa, fy = 415 MPa. Determine the
      following.
           a. Balance steel ratio
           b. Maximum steel area for singly reinforced
           c. Ultimate moment capacity of the beam
           d. Check the adequacy of the beam due to deadload moment of 30 kN.m and liveload moment
              of 100 kNm
   4. A reinforced concrete rectangular beam has width of 30_mm and effective depth of 50_mm. f’c = 28
      MPa, fy = 415 MPa. Determine the required tension area due to deadload moment of 18_ kN.m and
      liveload moment of 16_ kNm
   5. A reinforced concrete rectangular beam has width of 40_mm and effective depth of 72_mm. The
      beam is reinforced with 6-25mm diameter tension bars. f’c = 38 MPa, fy = 415 MPa. Determine the
      nominal and ultimate moment capacity of the beam.
   6. Design a 5m length concrete beam that can safely carry a deadload moment of 30_ kN.m and
      liveload moment of 10_ kNm. f’c = 34 MPa, fy = 415 MPa. Assume that the width of the beam is half
      of the overall depth. The beam is simply supported and the depth can be determined using NSCP
      2015 section 409.3.1.1.
       Note: Fill in the blanks with the last digit of your student number.
             Deadline of Submission: September 16, 2023.