A beam is supported by a column 3 m tall with dimensions a x 1.5a as shown above. The column is fixed at the base and pinned to the beam. Assume a Young’s modulus of ? = 25 GPa and yield strength of ?? = 20 MPa for the column.a) Draw the SFD and BMD for the beam and determine the axial load acting on the column.b) What is the minimum value of “a” that would not result in buckling of the column?c) If the column was instead fixed to the beam, how would this change the minimum value of “a”? 20 kN/m4 m3 m2 m30 kNa1.5aA beam is supported by a column 3 m tall with dimensions a x 1.5a as shown above. The columnis fixed at the base and pinned to the beam. Assume a Young's modulus of E = 25 GPa and yieldstrength of σy = 20 MPa for the column.a) Draw the SFD and BMD for the beam and determine the axial load acting on the column.b) What is the minimum value of "a" that would not result in buckling of the column?c) If the column was instead fixed to the beam, how would this change the minimum value of "a"?

Column length= 3m (fixed at base and pinned to the beam)column dimensions= a×1.5aE= 25 Gpaσy=20 Mpa…

Answered: A beam is supported by a column 3 m…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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A beam is supported by a column 3 m tall with dimensions a x 1.5a as shown above. The column is fixed at the base and pinned to the beam. Assume a Young’s modulus of ? = 25 GPa and yield strength of ?? = 20 MPa for the column.
a) Draw the SFD and BMD for the beam and determine the axial load acting on the column.
b) What is the minimum value of “a” that would not result in buckling of the column?
c) If the column was instead fixed to the beam, how would this change the minimum value of “a”?

20 kN/m
4 m
3 m
2 m
30 kN
a
1.5a
A beam is supported by a column 3 m tall with dimensions a x 1.5a as shown above. The column
is fixed at the base and pinned to the beam. Assume a Young's modulus of E = 25 GPa and yield
strength of σy = 20 MPa for the column.
a) Draw the SFD and BMD for the beam and determine the axial load acting on the column.
b) What is the minimum value of "a" that would not result in buckling of the column?
c) If the column was instead fixed to the beam, how would this change the minimum value of "a"?

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