Draw the envelope of the bending moment and shear force diagrams from the different load cases showing the corresponding extreme values.

CE5013 REINFORCED CONCRETE RETAKE CW– Aug 2020

 

ID: The ‘n’ values below are based on your KU ID, i.e. K n₁ n₂ n₃ n₄ n₅ n₆ n₇

A simply supported reinforced concrete beam with a cantilever of rectangular cross section 250 mm width X 525 mm height and concrete grade C35/40 is an interior support of a one way slab with uniformly distributed characteristic loads from

• Tiles and bedding (0.5+0.1*n₃) kN/m²
• 50 mm layer of screed with unit weight of 22 kN/m³
• 180 mm deep slab with RC unit weight of 25 kN/m³
• Suspended ceiling of 0.15 kN/m²
• Services of 0.30 kN/m²

and a variable load q_k = (2+0.1*n₇) kN/m².The distance c/c of the beams is (4+0.1*n₆) m. Design the section as a rectangular beam to satisfy the ULS and SLS requirements of EuroCode 2.

 

                                                          1.35g_k + 1.50q_k

 

 

 

 

1000 + 100n6

1000 + 100n4

6.000 + 100n5

                       

 

 

 

(The dimensions as shown are in mm)

 

Assessment criteria:

 

Draw the envelope of the bending moment and shear force diagrams from the different load cases showing the corresponding extreme values.	30 marks
Design the beam for flexure to Eurocode 2 at the positions of maximum sagging and maximum hogging bending moments and calculate the tension and any compression reinforcement required in each case.	25 marks
Design the beam for shear to Eurocode 2 at the positions of maximum shear and calculate the shear reinforcement required in each case. Check that the midspan deflection of the beam is satisfactory (ignore the cantilevers).	25 marks
Draw longitudinal view and cross session of the beam showing all relevant details of the bending and shear reinforcement. Comment on the importance of the envelope diagrams and the positioning of the reinforcement.	20 marks