A column is made from a rectangular bar whose cross section is 5.1 cm by 8.7 cm If the height of the column is 2 m , what is the maximum load it can support? The material has E = 200 GPa and oy = 250 MPa.

A column is made from a rectangular bar whose cross section is 5.1 cm by 8.7 cm If the height of the column is 2 m , what is the maximum load it can support? The material has E = 200 GPa and oy = 250 MPa.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.7.2P: A round bar of 10 mm diameter is made of aluminum alloy 7075-T6 (see figure). When the bar is...

See similar textbooks

Related questions

Q: Rod AB consists of two cylindrical portions AC and BC, each with a cross-sectional area of 1950 mm2.…

Q: Question 5 of 5 A column with a length of 8 m that is pinned on both ends. The column is made of a…

Q: Question 3 The roof beams of a warehouse are supported by pipe columns having outer diameter d2 =…

A: Find the moment of inertia.

Q: Example 1: 14 • A 25 mm square cross-section bar of length 300 mm carries an axial compressive load…

A: Given data, There is a Square bar, s= 25 mm L= 300 mm P= 50 kN =50000 N E= 200 GN/m2 = 200000…

Q: A steel bar is 900 mm long: its two ends are 40 mm and 30 mm in diameter and the length of each rod…

Q: Question 2 5 Points An aluminum bar having a cross-sectional area of 160 mm? carries the axial loads…

Q: Rod AB consists of two cylindrical portions AC and BC, each with a cross-sectional area of 1950 mm2.…

Q: Determine the minimum column length to allow elastic torsion. Cross section is given in Figure 5, as…

A: It is required to determine the y coordinate of centroid.

Q: 2. Three wires made of copper, zinc and aluminium are of equal lengths and have cross-sectional…

Q: A circular plate of 80 mm radius and 6 mm thick carries a central load of 2 kN. Calculate the…

A: A circular plate with an 80 mm radius and a thickness of 6 mm supports a central load of 2 kN.When…

Q: A rigid bar ABCD is pinned at end A and supported by two cables at points B and C. The cable at B…

Q: A tapered bar AB of solid rectangular cross-section with a thickness of 20 mm and length L = 800 mm…

A: To Find : The elongation of the bar due to load P . Given : The thickness is t=20 mm The length…

Q: The vertical rectangular cross section column shown in Fig. Ql-B is pinned at both ends. Assuming…

A: **According to the guidelines we can answer only three sub-parts, please re-post the question to the…

Q: The initial compressive force of a steel column can be determined by Euler's buckling formula The…

A: Solution:

Q: Four steel bars jointly support a mass of 15 Mg as shown. Each bar has a cross-sectional area of 600…

Q: The square bar shown (Figure 1) is 70 mm thick and 5.4 m long and is fixed supported at both ends. A…

A: Given: Thickness of bar = 70mm Length, L2 = 3.3 m Change in length of L2 = delta = 0.13 mm Youngs…

Q: 1. A steel bar 8 m long, hanging vertically supports a tensile load of 2500 N. Neglecting the weight…

Q: To determine the maximum allowable axial force applied to a cylindrical column by four different…

A: Given :

Q: ocO N G.65 m A-45 cm 0.35 m 13500 N Iross soctioni 22250 N

Q: Consisting of chrome-nickel and bronze, the largest horizontal P force it can carry, and…

Q: 1. A uniform bar, 9 ft long weighs 5 Ibs. Is supported from left end by a 12 Ibs load. Find W R = A…

Q: tube of 5m long ,40mm inner diameter and 80mm outer diameter is used as an euler column. Assuming…

Q: A column with circular cross section of 30 mm diameter has its both ends fixed and is subjected to…

A: Solution:

Q: 1. A vertical column with pinned ends is subjected to an end load P. The column has a radius of…

A: Area, A = 0.02 m2 E = 200 GPa Length, L =6 m Find Load, P Stress…

Q: This subject is strength of materials show complete and clear solution with free body diagram and…

Q: Rigid bar ABC is supported by bronze rods (1) and (2) as shown below. A concentrated load of P = 35…

A: Given:P=35kipsE=15000 ksiA=0.2 in2L1=11 ftL2=17 ftL3=9 fta=42 inb=78 in

Q: Two 300 mm x 120 mm I-section joists are united by 12 mm thick plates as shown in Figure 2 to form a…

A: The relevant properties of each joist are, Ixx=96X10-6 m4, Iyy=4.2X10-6m4, A=6X10-3m2

Q: [80 MN/m²; 0.12 mm] 1.2 A steel tube, 25 mm outside diameter and 12 mm inside diameter, carries an…

A: We have to find stress of steel tube amd load

Q: 2. A bar having a length of 5 in. and cross-sectional area of 0.8 in? is subjected to an axial force…

A: Given:L=5 inA=0.8 in2F=8000 lb∆L=0.003 in

Q: 4. A steel bar of 40 mm × 40 mm square cross-section is subjected to an axial compressive load of…

A: Given data , Bar of square shape having area - 40*40 mm2 So Area A = 1600mm2 Where comprehensive…

Q: 4. A steel bar of 40 mm x 40 mm square cross section is subjected to an axial compressive load of…

Q: A steel bar with dimensions and cross section shown is suspended vertically. Three concentric…

Q: Find the critical load of a Euler’s column having 4 m length, 50 mm x 100 mm cross section and…

Q: 2.15 The bar shown below must carry a tensile load of 200 kN. Calculate the diameter of the middle…

A: Dear student, According to the guidelines, I am allowed to answer only one…

Q: Problem 3: (M4) Your boss at a construction company asked you to verify the thickness of a 3 m long…

A: As per given conditionWe have the equation for moment of…

Q: (A). A bar ABCD consists of three sections: AB is 25 mm square and 50 mm long, BC is of 20 mm…

A: The area of the bar AB is AB=a2=252=625 mm2 The area of the BC is BC=π4d2=π4202=314.15 mm2 The area…

Q: A column with a fixed base is loaded with a 100 N horizontal force and a vertical 200 N force. If…

A: The 200 N force will create Tensile stresses of equal magnitude in all the sections.Tensile…

Q: A long, rectangular bar (made of Material A) under a tensile load P hangs from a pin that is…

A: The data given is, Length of material A bar, LA = 2 m = 2000 mm The cross-sectional area of the bar…

Q: 1. A steel bar is 50 mm in diameter and 2000 mm long. It is surrounded by a shell of cast iron 5 mm…

A: Given Diameter, d = 50 mm Length, L = 2000 mm Thickness, t = 0.9 mm Find Load, P

Q: Q 2: A steel rod having a cross-sectional area of 300 mm2 and a length of 5.5 m is suspended…

A: Given data: Applied load (P) = 30 kN Cross-sectional area (A) = 300 mm2 Length of the bar (L) = 5.5…

Q: For 10 to 12. The compound bar ABCD has a uniform cross-sectional area of 0.25 in². When the axial…

A: Answer: (a) P = 2443.820225 lb (compressive). (b) ∆Lst = 0.012135 in (contraction). (c) ∆Lal =…

Q: The rigid bar AC is supported by two axial bars (1) and (2). Both axial bars are made of bronze [E =…

A: Givenbar material →bronzeE=100Gpaα=18×10-6mm/mmοCA1=180mm2A2=380 mm2L1=1290 mmL2=2000 mma=590…

Q: A steel bar of 40mm x 40mm square cross-section is subjected to an axial compressive load of 200kN.…

Q: An aluminium rod is fixed at its base and free at the top as shown in Figure 1. If the imposed…

A: given; load(P)=200KN =200*103Ndiameter(d)=200mmelasticity(E)=72GPa…

Q: A column of length 1 m is hinged at both ends has cross-section (10 x20) mm2. Young's modulus of…

A: Given data:Length of the column, L=1 mCross-section of column, A=10×20 mm2E=200 GPa

Q: The rigid beam shown in Figure AN- 12 is suspended by three cables. The beam is horizontal prior to…

A: Draw free body diagram of beam

Q: Question 2: The cross-sectional area for the lattice rods in the figure is A=120 mm2, the modulus of…

A: given; AB=3m AC=4m

Q: A steel bar 40 mm x 40 mm square cross-section is subjected to an axial compressive load of 200 kN.…

A: Data given- A = 40 mm × 40 mm = 1600 × 10-6 m2 P = 200 × 103 N L = 2 m E = 200 × 109 Pa

Question

100%

A column is made from a rectangular bar whose cross section is 5.1 cm by 8.7 cm If the height of the column is 2 m , what is the maximum load it can support? The material has E = 200 GPa and oy = 250 MPa.

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

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 4 images

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

A rigid bar of weight W = 750 lb hangs from three equally spaced wires: two of steel and one of aluminum (see figure). The diameter of the wires is 1/8 in. Before they were loaded, all three wires had the same length. What temperature increase T in all three wires will result in the entire load being carried by the steel wires? (Assume Es= 30 × 106 psi, as= 6.5 × 10-6 /'F, and aa= 12 × 10-6F.)
A two-story building has steel columns AB in the first floor and BC in the second floor, as shown in the figure. The roof load P:equals 400 KN, and the second-floor load P-, equals 720 kN. Each column has a length L = 3.75 m. The cross-sectional areas of the first- and second-floor columns are 11,000 mm" and 3900 mm", respectively. (a) Assuming that E = 206 GPa. determine the total shortenings aof the two columns due to the combined action of the loads Ptand P,. (b) How much additional load P0can be placed at t he top of t he column (point C) if t he total shortening: SACis not to exceed 4.0 mm?
A square aluminum bar with pinned ends carries a load P = 25 kips acting at distance e = 2,0 in. from the center (sec figure). The bar has a length E = 54 in. and modulus of elasticity E = 10,600 ksi. If the stress in the bar is not to exceed 6 ksi, what is the minimum permissible width bminof the bar?
A rigid bar of length L is supported by a linear elastic rotational spring with rotational stiffness ßRat A. Determine the critical load Pcr for the structure.
A high-strength steel bar used in a large crane has a diameter d = 2.00 in. (sec figure). The steel has a modulus of elasticity E = 29 × 10 psi and Poisson’s ratio is v = 0.29. Because of clearance requirements, the diameter of the bar is limited to 2.001 in. when it is compressed by axial forces. What is the largest compressive load Pmaxthat is permitted?
Five bars, each having a diameter of 10 mm. support a load P as shown in the figure. Determine the plastic load Ppif the material is clastoplastic with yield stress
The rails of a railroad track are welded together at their ends (to form continuous rails and thus eliminate the clacking sound of the wheels) when the temperature is 60°F. What compressive stress ?? =6.5×10-6 /? is produced in the rails when they are heated by the sun to 120"F if the coefficient of thermal expansion a = the modulus of elasticity E = 30 × 106 psi?
Two cables, each having a length i. of approximately 40 m, support a loaded -container of weight W (see figure). The cables, which have an effective cross-sectional area A = 48.0 mm2 and effective modulus of elasticity E = 160 GPa. are identical except that one cable is longer than the other when they are hanging separately and unloaded. The difference in lengths is d = 100 mm. The cables are made of steel having an elastoplastic stress-strain diagram with a r= 500 MPa. Assume that the weight ft' is initially zero and is slowly increased by the addition of material to the container. (a) Determine the weight Wythat lirsl produces yielding of the shorter cable. Also, determine the corresponding elongation 5 of the shorter cable. (b) Determine the weight Wpthat produces yielding of both cables. Also, determine the elongation Spof the shorter cable when the weight W just reaches the value Wp. (c) Construct a load-displacement diagram showing the weight W as ordinate and the elongation
A round bar of 10 mm diameter is made of aluminum alloy 7075-T6 (see figure). When the bar is stretched by axial forces P, its diameter decreases by 0.0 16 mm. Find the magnitude of the load P. Obtain the material properties from Appendix 1.
A pinned-end strut of aluminum (E = 10,400 ksi) with a length L = 6 ft is constructed of circular tubing with an outside diameter d = 1 in. (sec figure). The strut must resist an axial load F = 4 kips with a factor of safety n = 2.0 with respect to the critical load. Determine the required thickness t of the tube.
Wires B and C are attached to a support at the left-hand end and to a pin-supported rigid bar at the right-hand end (see figure). Each wire has cross-sectional area A =0.03 in2 and modulus of elasticity E = 30 X 106 psi. When the bar is in a vertical position, the length of each wire is L = 80 in. However, before being attached to the bar, the length of wire B was 79.98 in. and wire C was 79.95 in. Find the tensile forces TBand Tc in the wires under the action of a force P = 700 lb acting at the upper end of the bar.
An aluminum tube AB with a circular cross section has a sliding support at the base and is pinned at the top to a horizontal beam supporting a load Q = 200 kN (sec figure). Determine the required thickness t of the tube if its outside diameter d is 200 mm and the desired factor of safety with respect to Eu 1er buckling is n = 3.0. (Assume E = 72 GPa.)