
(a)
The critical buckling load using Euler equation for

Answer to Problem 5.1PFS
Explanation of Solution
Given:
Calculation:
The area of a given solid round bar is
Substitute the d value 1.5inches.
Moment of inertia of solid round bar:
Calculating radius of gyration:
Substitute the values of I and A in the formula:
Calculate the slenderness ratio for L= 4ft:
Determine critical buckling stress:
Substitute the values in formula:
The buckling stress is less than the limit of 36 ksi. The column is in elastic range and safe.
Calculation of critical buckling load:
Put in the values
Conclusion:
Therefore, the critical buckling load is
(b)
The critical buckling load using Euler equation for

Answer to Problem 5.1PFS
The buckling stress is not less than the limit of
Explanation of Solution
Given:
Calculation:
Calculate the slenderness ratio for L= 2ft 9in:
Determine critical buckling stress:
Substitute the values in formula:
Conclusion:
The buckling stress is not less than the limit of
(c)
To find: critical buckling load using Euler equation for

Answer to Problem 5.1PFS
Euler equation is not applicable as the slenderness ratio exceeds 200.
Explanation of Solution
Given:
Calculation:
Calculate the slenderness ratio for L= 7ft 6in:
Conclusion:
Therefore, Euler’s equation is not applicable as the slenderness ratio exceeds 200.
Want to see more full solutions like this?
Chapter 5 Solutions
Structural Steel Design (6th Edition)
- Convert the Followingarrow_forwardSolve for the following right triangle for missing parts: - Angle A - Angle B - Side a - Areaarrow_forwardYOUR TOP STADIA CROSSHAIR IN YOUR LEVEL YEILDS A Roo READING of 7.32 FT. YOUR BOTTOM STADIA CROSSHAIR READS 6.23 FT. How FAR AWAY FROM YOUR INSTRUMENT (LEVEL) IS YOUR STATION WHERE YOUR PHilly Roo IS LOCATED:arrow_forward
- SITUATION. A uniform live load of 16 kN/m and a single concentrated live force of 34 kN are placed on the top beams. If the beams also support a uniform dead load of 3 kN/m, determinearrow_forwardComplete the profile leveling notes in Table 1. Show the arithmetic check and sample calculations of your work. Draw a neat sideview sketch showing the location of all stations and indicate on the sketch all of the numbers in your completed table.arrow_forward3. A level loop was run starting at BM 20 and going clockwise around the loop shown below in Figure 2. The given known elevation of BM 20 is 1418.013 ft. When closing the level loop, BM 20 was found to have an elevation of 1417.890 ft. (a) Adjust the elevation of each station to correct for error. Show sample calculations of your work. (b) What is the accuracy ratio of the survey? BM 20 Elev. 1418.013 2.3 mi BM 20A Observed Elev. 1234.567 2.7 mi 1.6 mil 0.9 mi BM 20B Observed Elev. 1357.913 BM 20C Observed Elev. 1396.963arrow_forward
- A W14 x 82 with 20 ft length column is part of a braced frame. The load and moments computed from service loads, and bending is about the x axis are (axial compressive dead load of 63 k; axial compressive live load of 76 k; upper dead moment of 32 ft-k; upper live moment of 56 ft-k; lower dead moment of 65 ft-k; lower live moment of 95 ft-k; the moments cause the member to bend in double curvature). Determine the lateral-torsional buckling modification factor C₁. ial live load ofarrow_forwardPROBLEM 1 Find the reaction at A and F. Compute for the force in members AB, BD, and DF. Use Method of Joints OR Method of Sections OR both. 3m B D C E 3m 100KN 3m 4marrow_forwardI need detailed help solving this exercise from homework of Engineering Mathematics II.I do not really understand how to do, please do it step by step, not that long but clear. Thank you!P.S.: Please do not use AI, thanks!arrow_forward
- Steel Design (Activate Learning with these NEW ti...Civil EngineeringISBN:9781337094740Author:Segui, William T.Publisher:Cengage LearningResidential Construction Academy: House Wiring (M...Civil EngineeringISBN:9781337402415Author:Gregory W FletcherPublisher:Cengage LearningMaterials Science And Engineering PropertiesCivil EngineeringISBN:9781111988609Author:Charles GilmorePublisher:Cengage Learning
- Solid Waste EngineeringCivil EngineeringISBN:9781305635203Author:Worrell, William A.Publisher:Cengage Learning,Residential Construction Academy: House Wiring (M...Civil EngineeringISBN:9781285852225Author:Gregory W FletcherPublisher:Cengage Learning




