CVE 5302 Test 1 January Semester Name: Q1: Fig. Q1 shows a transfer girder spanning 6 m between supporting column faces. The girder must carry from above a concentrated column service load of Psa = 20 kN and Psu = 15 kN at mid-span, applied with eccentricity e = 800 mm from the girder centre line. In addition, a uniform load SDL service load of wsdl = 6.00 kN/m and a uniform load SLL service load of Ws11 = 3.00 kN/m is also applied to the beam. (Note: 6.00 kN/m does not include beam self-weight) The member is to have dimensions b=300mm, h = 600 mm, x2 = 210 mm, y = 510 mm, and d = 542 mm. Supporting columns provide full torsional rigidity. Material strengths are feu = 30 MPa and fyy -460 MPa. Calculate ve based on top steel at the support equal to 4-T12, As = 452 mm? Pioni 11 P P. P30 Wri, W:11 600 mm - 300 mm 9m de Print Per Fig. 21 Use T10 bars (fyr = 460 MPa) for the design of combined shear and torsion links, answer the following questions: a.) Show that ultimate load torsion T, = 16.50 kN-m per BS 8110. Check torsional shear stress v for the requirement of torsion link and design torsional link Asy/sy if required. What is maximum value of eccentricity e if torsional links are not required? (15 marks) b.) Design for additional longitudinal reinforcement As for torsion. (5 marks) c.) Show that Vu= 79.74 kN. Design for combined shear and torsion links per BS8110 (10 marks) d.) Design torsion links and reinforcement as per EC2. Use strut inclination angle 6 = 45 deg. Compare EC2 design results with that of B$8110 and comment. (Asw/S - Ted/(2*A**0.87/y*cot). (10 marks) CVE 5302 Test 1 January Semester Name: Q1: Fig. Q1 shows a transfer girder spanning 6 m between supporting column faces. The girder must carry from above a concentrated column service load of Psa = 20 kN and Psu = 15 kN at mid-span, applied with eccentricity e = 800 mm from the girder centre line. In addition, a uniform load SDL service load of wsdl = 6.00 kN/m and a uniform load SLL service load of Ws11 = 3.00 kN/m is also applied to the beam. (Note: 6.00 kN/m does not include beam self-weight) The member is to have dimensions b=300mm, h = 600 mm, x2 = 210 mm, y = 510 mm, and d = 542 mm. Supporting columns provide full torsional rigidity. Material strengths are feu = 30 MPa and fyy -460 MPa. Calculate ve based on top steel at the support equal to 4-T12, As = 452 mm? Pioni 11 P P. P30 Wri, W:11 600 mm - 300 mm 9m de Print Per Fig. 21 Use T10 bars (fyr = 460 MPa) for the design of combined shear and torsion links, answer the following questions: a.) Show that ultimate load torsion T, = 16.50 kN-m per BS 8110. Check torsional shear stress v for the requirement of torsion link and design torsional link Asy/sy if required. What is maximum value of eccentricity e if torsional links are not required? (15 marks) b.) Design for additional longitudinal reinforcement As for torsion. (5 marks) c.) Show that Vu= 79.74 kN. Design for combined shear and torsion links per BS8110 (10 marks) d.) Design torsion links and reinforcement as per EC2. Use strut inclination angle 6 = 45 deg. Compare EC2 design results with that of B$8110 and comment. (Asw/S - Ted/(2*A**0.87/y*cot). (10 marks)
