(a)
Axial Compressive design strength of column AB.
Answer to Problem 4.7.10P
Explanation of Solution
Calculation:
calculate the ratio of column stiffness to girder at each and column AB by using the equation.
Here we have
G=ratio of column stiffness to girder stiffness
Here ratio of column stiffness to girder stiffness at end A is
For Joint A:
Substitute
Refer the alignment chart for the value of
Calculate the effective slenderness ratio for column by using the equation
Here
Calculate the upper limit elasticity using the equation
Since
Calculate the factored load by LRFD by using the equation
He re D is the dead load, L is the live load
Substitute
Calculate the stress coming on the column
Refer table
No modification is necessary
Calculate effective slenderness ratio in y direction
Calculate the buckling stress using the formula.
Check for slenderness ratio by using the formula.
Here
Since
Calculate the nominal compressive strength of column.
Conclusion:
Hence, here the design strength is estimated using the formula:
ii.
Themaximum axial compressive strength of column AB.
ii.
Answer to Problem 4.7.10P
Explanation of Solution
Calculation:
Calculate the factored load by ASD by using the equation
He re D is the dead load L is the live load
Substitute
Calculate stress coming on column.
Refer table
No modification is necessary
Calculate effective slenderness ratio in y direction
Effective
Calculate the buckling stress using the formula
Check for slenderness ratio by using the formula.
Here
Since
Calculate the compressive strength of column.
Calculate the maximum strength by using the formula.
Conclusion:
Therefore, the maximum strength is calculated using the formula:
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Chapter 4 Solutions
STEEL DESIGN W/ ACCESS
- A W12x79 of A573 Grade 60 (Fy = 415 MPa) steel is used as a compression member. It is 8 m long, pinned at the top fixed at bottom with additional lateral support at mid height in the weak direction. The properties are as follows: Ag = 14,500 sq.mm, Ix= 258.6 x10^6 mm ^4 Iy=84.375 x 10^6 mm^4. 55. calculate the critical slenderness ratio with buckling about strong axis.arrow_forwardThe simply supported beam consists of a W21 × 44 structural steel wide-flange shape [E = 29,000 ksi; I = 843 in.4]. Assume d = 5 ft, w = 3 kips/ft, P = 48 kips. For the loading shown, determine (a) the beam deflection at point A. (b) the beam deflection at point C.arrow_forwardP10.10. A W27×94 section of A572 Grade 50 steel 34 feet long, it is used as a simply supported beam. It is subjected to a factored concentrated load of 90 kips at 12 feet from each support. In addition, the beam is subjected to a factored moment of 340 kips-ft at its left end (counterclockwise). Neglect the self-weight of the beam in the calculations, and check whether the beam is safe according to the LRFD. Lateral support is only provided at the ends and load points.arrow_forward
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- Steel Design (Activate Learning with these NEW ti...Civil EngineeringISBN:9781337094740Author:Segui, William T.Publisher:Cengage Learning