A long, slender structural aluminum [E = 69 GPa] flanged shape is used as al = 9.2-m-long column. The column is supported in the x direction at base A and pinned at ends A and C against translation in the y and z directions. Lateral support is provided to the column so that deflection in the x-z plane is restrained at mid-height B; however, the column is free to deflect in the x-y plane at B. Assume that b; = 102 mm, d = 122 mm, t; = 8 mm, and tw = 6 mm. Determine the maximum compressive load P the column can support if a factor of safety of 2.9 is required. In your analysis, consider the possibility that buckling could occur about either the strong axis (i.e., the z axis) or the weak axis (i.e., the y axis) of the aluminum column. P bf C L d Lateral B bracing L

A long, slender structural aluminum [E = 69 GPa] flanged shape is used as al = 9.2-m-long column. The column is supported in the x direction at base A and pinned at ends A and C against translation in the y and z directions. Lateral support is provided to the column so that deflection in the x-z plane is restrained at mid-height B; however, the column is free to deflect in the x-y plane at B. Assume that b; = 102 mm, d = 122 mm, t; = 8 mm, and tw = 6 mm. Determine the maximum compressive load P the column can support if a factor of safety of 2.9 is required. In your analysis, consider the possibility that buckling could occur about either the strong axis (i.e., the z axis) or the weak axis (i.e., the y axis) of the aluminum column. P bf C L d Lateral B bracing L

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: Mechanics of Deformable Bodies The rigid beam of negligible weight is supported by a pin at o and…

Q: Find the maximum P that can be applied at point E given that:

A: The below approach entails using material mechanics ideas to the issue of determining the maximum…

Q: Help me answer this please

A: Step 1:Determine Support Reactions Calculate the reactions at the supports (A and C) by using…

Q: page), are bon. force of P = 2,8 e left. Determit ce applied to ea wa FBD of the a only exert horiz

Q: Calculate the normal stress σ and the deflection δ for solid rod with diameter 6-mm and 30 cm in…

Q: (a) Sketch a free-body diagram showing the forces and reactions imposed on the rigid I-beam in Fig.…

A: Given: To find: Freebody diagram of fig a) Statically determinate or indeterminate

Q: (a) A steel beam in the form of a cantilever of length 2 m, designed for a structural engineering…

A: To find: The net deflection at the free end using the double integration method. Given: The point…

Q: Consider a problem of 2D elasticity. If a linear element (i.e. first order element) is attached to a…

A: This question is based on the concept of finite element analysis.

Q: force on the pin from the slot, respectively, are

A: Given. Section modulus of the member is same in both the arms.where, An L shaped elastic member ABC…

Q: Calculate the joint force C and the bearing reactions of A for the external given load effect. B)…

A: Calculate angle .

Q: y 300 400 N 500 -Bar, b = 6, h = 32 B 300 400 N C x

Q: The pin-connected structure, shown in Figure 1, consists of a rigid beam ABCD and two supporting…

Q: h L P A cantilever beam has a length L = 8 m and supports a load of P = 9 kN at its free end. The…

Q: The solid 32 mm diameter steel [E = 200 GPa] shaft supports two belt pulleys. Assume that the…

A: To Find : The shaft deflection at pulley A and C. Given : The load P and Q are P=850N ,Q=1000N.…

Q: the deflection of a beam whose length is 6 m with the modulus of elasticity of E = 200 GPa and I =…

A: Given data: E = 200 GPa = 200×109 N/m2 I = 98×106 mm4 = 98×10-6 m4 distributed load, w = 13000 N/m…

Q: A circular plate with simply supported edges subjected to a uniform pressure of P=440 KPa, as shown…

A: The maximum deflection of a beam can be minimized by utilizing harder materials, increasing the…

Q: 1. The bar shown in the figure is composed of a 2-cm-diameter aluminum section, a 3-cm-diameter…

Q: Hi, can you please help with parts A and B here?

Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

A long, slender structural aluminum [E = 69 GPa] flanged shape is used as al = 9.2-m-long column. The column is supported in
the x direction at base A and pinned at ends A and C against translation in the y and z directions. Lateral support is provided to
the column so that deflection in the x-z plane is restrained at mid-height B; however, the column is free to deflect in the x-y
plane at B. Assume that b; = 102 mm, d = 122 mm, t; = 8 mm, and tw = 6 mm. Determine the maximum compressive load P the
column can support if a factor of safety of 2.9 is required. In your analysis, consider the possibility that buckling could occur
about either the strong axis (i.e., the z axis) or the weak axis (i.e., the y axis) of the aluminum column.
P
bf
C
L
d
Lateral
B
bracing
L

Determine the critical buckling load for buckling about the z axis.
Answer: Perz= i
! kN.
eTextbook and Media
Save for Later
Part 3
Incorrect
The allowable load is the maximum compressive load that the colu
given factor of safety.
Determine the allowable compressive load for buckling about the z axis.
Answer: Pallow.z
! kN.
i

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

The beam is subjected to a point load and a distribution load as shown in Figure 2-1 below.(a) Draw a Shear Force Diagram in the beam ABC interval.(b) Draw a Moment Diagram in the beam ABC interval.(c) If the cross-sectional area is shown in Figure 2-2, how many mm is the neural axis NA from the bottom?(d) Find the second moment of area, INA from the natural axis.(e) Find the maximum shear stress JJ on the stem side at the connection between flange and stem in the beam ABC interval. (f) Find the maximum shear stress mmax in the beam ABC interval.(g) Find the maximum tensile flexural stress mmax, T and maximum compressive flexural stress mmax, C in the beam ABC interval, respectively.
A) Calculate the stress in each link when a force of 600 lbs is applied to the rigid element AF, employing manual calculations and finite element methods. B) Determine the corresponding deflection at point A, manually applying the finite element penalty method to model and solve the constraints effectively. Available Data: The links BC and DE are made of steel. Each link has dimensions of 1/2 inch in width and 1/4 inch in thickness. Modulus of elasticity (E): 29 x 10^6 psi. Instructions: For this problem, manual calculation is crucial. Utilize the finite element method with the penalty approach to handle boundary conditions and constraints effectively. This method involves incorporating penalty factors into the system equations to enforce the constraints strictly.
Need help please, round answers to 3 sig figs
For a concrete column that is part of a braced frame, if the column is square, tied, 18 inches per side, 16 feet long, classify the column as slender or non slender. Assume that at one end of the column a clockwise moment of 100 k-ft is present, and that at the other end of the column a counter-clockwise moment of 25 k-ft is present. You may assume that K=1.
A steel bar with a uniform cross section is fixed at both ends. A load P = 2.5 kips is applied at point C. The bar has a cross-sectional area of 8 in2.Calculate the reactions at joints A and B and the displacement at joint C. Assume that the modulus of elasticity E = 29,000 ksi.
The figure shows a rectangular member OB, made from 0.5 cm thick aluminum plate, pinned to the ground at one end and supported by a coil spring at point A. The spring has been measured to deflect 1 mm with an applied force of 10 kN. Find the deflection at point B.
A long, slender structural aluminum [E = 69 GPa] flanged shape is used as a L = 9.2-m-long column. The column is supported in the x direction at base A and pinned at ends A and C against translation in the y and z directions. Lateral support is provided to the column so that deflection in the x-z plane is restrained at mid-height B; however, the column is free to deflect in the x-y plane at B. Assume that b; = 102 mm, d = 122 mm, t; = 8 mm, and tw = 6 mm. Determine the maximum compressive load P the column can support if a factor of safety of 2.9 is required. In your analysis, consider the possibility that buckling could occur about either the strong axis (i.e., the z axis) or the weak axis (i.e., the y axis) of the aluminum column. P bf C d Lateral В bracing 2 Determine the moment of inertia with respect to the y and the z axes through the centroid of the cross section area. Answers: ly = i mm“, Iz = i mm4.
A bi-metallic cantilevered strip (i.e. horizontally composite beam) is to operate a switch at its free end. The steel and bronze strips are each 100 mm long and 15 mm x 1 mm in cross-section. Calculate the common radius of curvature and deflection at the free end for a temperature rise of 50 C. Take E = 200 GPa, a = 10 × 10-6 /C for steel and E = 120 GPa a = 20 x 106 /C for bronze.
Needs Complete typed solution with 100 % accuracy.
Please don't provide handwritten solution...
Figure Q2 shows an 11 m long steel beam AC of uniform cross-section, simply supported at left end A and roller supported at location B. A uniformly distributed load of 40 kN/m is applied on the part AB of the beam together with a concentrated load of 20 kN at the end C. 20 kN 40 kN/m В. 8 m 3 m
I need correct answer