Assignment 3 Solution Spring 2018 PDF

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Assignment 3-1 (MOS Spring 2018) The column is built up by gluing the two identical boards together. If the wood has an allowable normal stress of σallow = 6 MPa , determine the maximum allowable eccentric force P that can be applied to the column. Assignment 3-3 (MOS Spring 2018) A simply supported...

Description

Assignment 3-1 (MOS Spring 2018) The column is built up by gluing the two identical boards together. If the wood has an allowable normal stress of σallow = 6 MPa , determine the maximum allowable eccentric force P that can be applied to the column.

Assignment 3-2 (MOS Spring 2018) A wood beam is reinforced with steel straps at its top and bottom as shown. Determine the maximum bending stress developed in the steel if the beam is subjected to a moment of M = 150 kN⋅m . Take Ew = 10 GPa , Est = 200.

Assignment 3-3 (MOS Spring 2018) A simply supported beam of span length 3.2 m carries a uniform load of intensity 48 kN/m. The cross section of the beam is hollow box with wood flanges and steel side plates, as shown in the figure.The wood flange is are 75 mm by 100 mm in cross section, and the steel plates are 300 mm deep. Assume the moduli of elasticity for steel and wood are 210 GPa and 10 GPa, respectively, and disregard the weight of the beam. Determine the allowable required thickness t of the steel plates if the allowable stresses are 120 MPa for the steel and 6.5 MPa for the wood.

SOLUTION

Assignment 3-4 (MOS Spring 2018) The beam is made of an elastic-plastic material for which σy = 200 MPa . The largest moment in the beam occurs within the center section a-a.Determine the magnitude of each force P that causes this moment to be (a) the largest elastic momentand (b) the largest plastic moment.

Assignment 3-5 (MOS Spring 2018) The beam is fabricated using a mild steel which is assumed to be elastic-perfectly plastic. The beam is subjected to distributed load and cross section as shown in the figure. Consider yield stress σy= 175 MPa. Determine the maximum intensity of the distributed load that can be applied to the beam.

SOLUTION...