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Simply supported beam (L1+L2) m long carries a point load (Gk = A kN, Qk = B kN) at mid-span and its self-weight with fire protection casing gk = g kN/m, and variable action qk = q kN/m as shown. The beam is laterally restrained at the ends and at the points of application of the load. The steel grade is S275. Design a MOST economical Universal Beam size which can carry such actions. Calculate the classification, bending and shear resistances. Also calculate the deflection of the beam to check that it complies with the design limit of L/200. Only variable actions are required for deflection check.
Knowing that the coefficient of kinetic friction between a sled and the run is 0.10 and that the speed of the sled is 25 ft/s at B, determine the tangential component of the acceleration of the sled a) just before it reaches B, b) just after it pa..
Calculate the force (in Kn) a punch press must exert if it is to punch out a large washer from a strip of 5-mm thick sheet steel with an ultimate shear strength of 400 MPa.
Set up a table showing curve elevations at the PVC, at the PVT, and at the half-station points along the curve. Compute the station and elevation of the curve turning point.
A sample of natural glacial till was taken from below the groundwater table. The water content was found to be 52%. Estimate the wet density, dry density, buoyant density, porosity and void ratio. Clearly state any necessary assumptions.
How would you define the coefficient of permeability? Give typical values of the coefficient for: a) fresh cement pastes; b) hardened cement pastes; c) commonly used aggregates;
The rigid bar abcd is supported by a pin at B and restrained by identical steel bars at C and D, each of area 250mm 2 . if the temperature is increased by 8 0 C, find out the force P that will cause the bar at c to be stress-free.
The soil properties of the clay are Cc = 0.25, Cr = 0.05, gsat = 18 kN/m 3 , for the sand gsat = 18 kN/m 3 , and the water table is 2 m below the soil surface. Determine the settlements when a stress of 100 kPa is applied by the building over an a..
Determine the value of Po, as a funciton of H, for these two investment alternatives to be equivalent at an interest rate of i=15% per year.
A drinking water treatment plant will be designed to process a flow of 15,000 m3/d. The sedimentation tank will have a residence (detention) time of 4 hours and the overflow rate (Q/A) of 16 m 3 /m 2 -day. Estimate the required surface area (A), an..
The rigid bar of negligible weight is supported as shown. Find the stress in each rod if the temperature rises DeltaT after a load P is applied. Use the following data: area of steal rod 320mm2, bronze rod 1300mm2, thermal expansion coefficient Al..
The total flow then moves to a point W on the traction drive two metres off the ground, and travels through a nine millimetre diameter conduit. Ignoring all friction and minor losses, determine the pressures at points H and W.
Assuming an isotropic and homogenous hydraulic conductivity of 0.0001 cm/s what is the magnitude and direction of specific discharge (q)?
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