Structures II End of Term Examination

State Mohr's theorems

Using Macaulay's method determine the slope and deflection at a point C for the loaded beam shown below in terms of EI.

State any three assumption made in slope and deflection

A simply supported beam carries a concentrated load of magnitude 200KN at the midspan. Determine using Mohr's theorems. The maximum deflection The slope and deflection at point D Take EI = 100 X 103 kN/m2

A trapezoidal masonry dam is of 18m height, the dam is having water up to a depth of 15m on its vertical side. The top of the masonry is given as 19.62kN/m3. Determine: The resultant force on the dam per metre length The point where the resultant cuts the base The maximum and minimum stress intensities at the base

With the aid of diagrams describe the following mode of failure of a retaining wall Overturning Sliding

The figure below shows a dam of a trapezoidal section retaining water as shown. Determine: The resultant up thrust on the base per metre length The point where the resultant thrust cuts the base The intensities of stress at A and B take weigh of concrete as 25kN/m3, the density of water as 1000kg/m3 and g=9.81

Figure below shows a retaining wall which supports a cohesion less soil having a density of 1800kgkg/m3 and shearing resistance of 28⁰ the stability conditions with regards to 2400kg/m3. Examine the stability conditions with regards to Tension in the joints Ground bearing pressure Factor of safety against overturning Factor of safety against sliding, assuming angle of wall friction ɗ=0.9ϕ