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Figures (a) and (b) respectively give details of a simply-supported bridge beam and its (idealised) cross-section. In addition to the dead load of 25 kN/m (including self weight), the beam is to carry the two concentrated live loads as shown. Take fc′= 25 MPa.
(i) Design the transverse reinforcement to resist the vertical shear. Use (vertical) N12 closed tie only. Show your design details in a sketch.
(ii) Assuming monolithic construction, carry out a check on the longitudinal shear. Is the design adequate?
Note that the load combination formula 1.2g + 1.5q applies in which g and q are the dead and live loads, respectively
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Write some appplications of lagrange''s mean value thorem
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