A T-beam made up of a flange and a web, from 2 plates 20 x 200mm joined together to form a T, is subjected to a tensile force P whose line of action passes through the centroid of the flange of the T section. The centroid is 65mm from the tip, the moment of inertia is 37.7 x 106mm. The maximum allowable value of P if the maximum normal stress is limited to 150N/mm2.
Solution:
A BW 775 x 287 steel I beam has the following dimension:
H 755mm total beam depth
tw 19mm web thickness
B 360mm flange width
tf 32mm flange thickness
The minimum section modulus Sx is:
Solution:
A T-beam made up of a flange and a web, from 2 plates 20 x 200mm joined together to form a T, is subjected to a tensile force P whose line of action passes through the centroidal of the flange of the T section. The centroid is 65mm from the top. The moment of inertia is:
Solution:
A beam has the cross-section 300mm by 800mm. It is subjected to a normal tensile force P whose line of action passes 100mm. above the centroid. Calculate the maximum allowable value of P if the maximum direct stress is limited to ± 150MPa?
Solution:
A mild steel column is hollow and circular in cross section with an external diameter of 350mm and internal diameter of 300mm. It carries a compressive load of 2,000 kN. The shortening of the column if its initial height is 5m. and E = 200,000 N/mm2.
Solution:
A tee section is made up of a 30mm x 150mm flange and a 30mm x 160mm web. The neutral axis above the lowest fibers of the section is:
Solution:
Determine the equation of the deflection curve for simply supported beam loaded by a concentrated moment Mo @ its left end.
Solution:
The magnitude of a force is 80 kN. The coordinates of its tail is (0m., 4m., 3m.) and the coordinates of its tip are (4.5m., 0m., 3m.,). What is the moment of this force about point P with coordinates (0m., 0m., 0m.).
Solution:
A concrete beam of rectangular cross-section 120mm x 300mm is to be reinforced by 6 high tensile pre-stressing tendons each having a cross sectional area of 300 mm2. If the level of pre-stress in the tendons is 150 N/mm2, determine the corresponding compressive stress in the concrete assuming that the ration of the elastic modulus of steel to that of concrete are 15.
Solution:
A reinforced concrete beam has width of 300mm and an effective depth to the tension reinforcement of 618mm. Compression reinforcement if required will be placed at a depth of 60mm, If fc’=30 N/mm2 and fy = 410 N/mm2, design the steel reinforcement if the beam is to support a bending moment of 650 kN/m.
Solution:
A bar metal 25mm in diameter is tested on a length of 250mm. in tension the following results were recorded:
Load (kN) 10.4 31.2
Extension (mm) 0.036 0.089
The Young Modulus E is nearly:
Solution:
A BW 775 x 287 steel I beam has the following dimensions:
H 755mm total beam depth
tw 19mm web thickness
b 360mm flange width
tf 32mm flange thickness
The plastic section modulus about the principal axis is:
Solution:
A seat angle 100 x 150 x 16 with a length of 200mm and attached to a column supports a load of 40kN. The seat angle is attached to the column by two rows of two 20mmØ rivets per row on the longer leg. The rows of rivets are 62.5mm. apart and 56mm from the top and 31.5mm from the bottom of the 150mm leg of the seat angle. The allowable stresses are 100MPa for shearing, 220MPa for tension for the seat angle and the rivets. Show that the section and the rivets are adequate for the loads.
1) Compute the bending stress of the clip angle in MPa.
2) Compute the shearing and bearing stress of the rivets in MPa.
3) Compute the maximum tensile stress of the rivets in MPa.
4) Compute bending stress of the 150mm leg in MPa.
Solution:
A reinforced concrete beam has a width of 300mm and an effective depth to the tension reinforcement of 600mm. Compression reinforcement if required will be place at a depth of 60mm. If fc’ = 30 MPa, and fy = 410MPa, determine the number of 28mmØ longitudinal reinforcement if the beam is to support a bending moment of 650 kN.m.
Solution:
A truck is moving along a 20m. span of beam. The front axle load is 8kN, the middle is 16kN and the rear is 6kN. The middle load is spaced at 3m. from the front and 6m. from the rear. Determine the max. moment produced by the load.
Solution:
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