Verify the available flexural strength of W18×50 shape for the beam shown below. The unfactored loads are a uniform dead load of 0.45 kip/ft and a uniform live load of 0.75 kip/ft. Use the LRFD load combinations to find the required flexural strength. Wo 0.45 kip/ft w₁ = 0.75 kip/ft 35'-0" Beam Loading & Bracing Diagram (full lateral support)

Design economical spacing of 10 mm diameter stirrups for the beam which carries the loads shown. Design shear reinforcement of prestressed beam with the following properties listed. Properties: f^c=28 MPa fy = 276MPa Aps = 800 mm² Ds = 10mm Dm = 18mm fse = 800 MPa fpu = 1500 MPa fpe = 860 MPa Pe = 250kN

Problem 1 A beam shown in the figure below is pre-tensioned using 32 mm dia. stranded tendons placed variably throughout the length (Harped) with fpu = 1,770 MPa, fpy = 0.85fpu, and the concrete capacity is fe 50 MPa, fei= 0.70f. Design the h of the section using an I-beam with Br= 1300 mm, hr= 250 mm, Bw= 250 mm, and carrying a load of wLL = 35 kN/m, wD= 29 kN/m (assumed), wsD= 48 kN/m. The actual location of the tendons' centroid at midspan and support are 150 mm and 530 mm from the bottom fiber respectively. The Prestressed losses = 17.5%. a. Determine the minimum required section modulus (in x10° mm') considering the midspan location. b. Determine the minimum required section modulus (in x10° mm') considering the support location. c. Determine the total height (mm) of the I-beam (Roundup, increment of 10 mm, ex. 1510.00, 1520.00, 1530.00 mm) d. Consider Pi – 11,800 kN, determine the stress (MPa) at extreme bottom fiber under the final stage of the midspan (use the updated weight of…

Design the shear reinforcement of the beam loaded as shown using WSD with fc’ = 20.7 MPa and fy = 276 MPa, fs = (fy/2)