1 Tension, Compression, And Shear 2 Axially Loaded Members 3 Torsion 4 Shear Forces And Bending Moments 5 Stresses In Beams (basic Topics) 6 Stresses In Beams (advanced Topics) 7 Analysis Of Stress And Strain 8 Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings) 9 Deflections Of Beams 10 Statically Indeterminate Beams 11 Columns Chapter11: Columns
Chapter Questions Section: Chapter Questions
Problem 11.2.1P: A rigid bar of length L is supported by a linear elastic rotational spring with rotational stiffness... Problem 11.2.2P: The figure shows an idealized structure consisting of a rigid bar with pinned connections and... Problem 11.2.3P: -2-3. Two rigid bars are connected with a rotational spring, as shown in the figure. Assume that the... Problem 11.2.4P: Repeat Problem 11.2-3 assuming that R= 10 kN · m/rad and L = 2 m. Problem 11.2.5P: The figure shows an idealized structure consisting of two rigid bars with pinned connections and... Problem 11.2.6P: An idealized column consists of rigid bar ABCD with a roller support at B and a roller and spring... Problem 11.2.7P: An idealized column is made up of rigid segments ABC and CD that are joined by an elastic connection... Problem 11.2.8P: The figure shows an idealized structure consisting of bars AB and BC that are connected using a... Problem 11.2.9P: The figure shows an idealized structure consisting of two rigid bars joined by an elastic connection... Problem 11.2.10P: The figure shows an idealized structure consisting of rigid bars ABC And DEF joined by a linearly... Problem 11.2.11P: The figure shows an idealized structure consisting of an L-shaped rigid bar structure supported by... Problem 11.2.12P: Rigid column ABCD has an elastic support at B with translational stiffness ß. Find an expression for... Problem 11.2.13P: An idealized column is made up of rigid bars ABC and CD that are joined by a rotational elastic... Problem 11.2.14P: An idealized column is composed of rigid bars ABC and CD joined by an elastic connection with... Problem 11.2.15P: Repeat Problem 11.2-14 using L = 12 ft, ß = 0.25 kips/in., ßRl= 1.5ßL2, and ßR2= 2 ßR1. Problem 11.2.16P: An idealized column is composed of rigid bars ABC and CD joined by an elastic connection with... Problem 11.3.1P: Column AB has a pin support at A,a roller support at B, and is compressed by an axial load P (see... Problem 11.3.2P: Slender column ABC is supported at A and C and is subjected to axial load P. Lateral support is... Problem 11.3.3P: Calculate the critical load PCTfor a W 8 × 35 steel column (see figure) having a length L = 24 ft... Problem 11.3.4P: Solve the preceding problem for a W 250 × 89 steel column having a length L = 10 m. Let E = 200 GPa. Problem 11.3.5P: Solve Problem 11.3-3 for a W 10 × 45 steel column having a length L = 28 ft. Problem 11.3.6P: A horizontal beam AB is pin-supported at end A and carries a clockwise moment M at joint B, as shown... Problem 11.3.7P: A column ABC is supported at ends A and C and compressed by an axial load P (figure a). Lateral... Problem 11.3.8P: Find the controlling buckling load (kN) for the steel column shown in the figure. The column is... Problem 11.3.9P: A column, pinned at top and bottom, is made up of two C 6 x 13 steel shapes (see figure) that act... Problem 11.3.10P: Repeat Problem 11.3-9. Use two C 150 × 12.2 steel shapes and assume that E = 205 GPa and L = 6 m. Problem 11.3.11P: A horizontal beam AB is pin-supported at end A and carries a load Q at joint B, as shown in the... Problem 11.3.12P: -12 A horizontal beam AB is supported at end A and carries a load Q at joint B, as shown in the... Problem 11.3.13P: A horizontal beam AB has a sliding support at end A and carries a load Q at end B, as shown in the... Problem 11.3.14P: A slender bar AB with pinned ends and length L is held between immovable supports (see figure). What... Problem 11.3.15P: A rectangular column with cross-sectional dimensions b and h is pin-supported at ends A and C (see... Problem 11.3.16P: .16 Three identical, solid circular rods, each of radius r and length L, are placed together to form... Problem 11.3.17P: Three pinned-end columns of the same material have the same length and the same cross-sectional area... Problem 11.3.18P: A long slender column ABC is pinned at ends A and C and compressed by an axial force F (sec figure).... Problem 11.3.19P: The roof over a concourse at an airport is supported by the use of pretensioned cables. At a typical... Problem 11.3.20P: The hoisting arrangement for lifting a large pipe is shown in the figure. The spreader is a steel... Problem 11.3.21P: A pinned-end strut of aluminum (E = 10,400 ksi) with a length L = 6 ft is constructed of circular... Problem 11.3.22P: The cross section of a column built up of two steel I-beams (S 150 × 25.7 sections) is shown in the... Problem 11.3.23P: The truss ABC shown in the figure supports a vertical load W at joint B. Each member is a slender... Problem 11.3.24P: A truss ABC supports a load W at joint B, as shown in the figure. The length L, of member Aß is... Problem 11.3.25P: An S6 × 12.5 steel cantilever beam AB is supported by a steel tic rod at B as shown. The tie rod is... Problem 11.3.26P: The plane truss shown in the figure supports vertical loads F at joint D, 2F at joint C, and 3F at... Problem 11.3.27P: A space truss is restrained at joints O, A,B, and C as shown in the figure. Load F is applied at... Problem 11.4.1P: A fixed-end column with circular cross section is acted on by compressive axial load P. The... Problem 11.4.2P: A cantilever aluminum column has a square tube cross section with an outer dimension of 150 mm. The... Problem 11.4.3P: An aluminum pipe column (E = 10,400 ksi) with a length L = 10.0 ft has inside and outside diameters... Problem 11.4.4P: Solve the preceding problem for a steel pipe column (E = 210 GPa) with length L = 1.2 m, inner... Problem 11.4.5P: A wide-flange steel column (E = 30 × l06 psi) of W12 × 87 shape (see figure) h as a length L = 28... Problem 11.4.6P Problem 11.4.7P: The upper end of a WE × 21 wide-flange steel column (E = 30 × 103ksi) is supported laterally between... Problem 11.4.8P: A vertical post AB is embedded in a concrete foundation and held at the top by two cables (see... Problem 11.4.9P: The horizontal beam ABC shown in the figure is supported by columns BD and CE. The beam is prevented... Problem 11.4.10P: The roof beams of a warehouse are supported by pipe columns (see figure) having an outer diameter... Problem 11.4.11P: Determine the critical load Pcrand the equation of the buckled shape for an ideal column with ends... Problem 11.4.12P: A fixed-pinned column is a W310 × 21 steel shape and is designed to carry an axial load of 125 kN.... Problem 11.4.13P: Find the Controlling buckling load (kips) for the steel column shown in the figure. The column is... Problem 11.4.14P Problem 11.4.15P: A rigid L-shaped frame is supported by a steel pipe column AB (sec figure) and is subjected to a... Problem 11.4.16P: An aluminum tube AB with a circular cross section has a sliding support at the base and is pinned at... Problem 11.4.17P: The frame ABC consists of two members AB and BC that are rigidly connected at joint B, as shown in... Problem 11.5.1P: An aluminum bar having a rectangular cross section (2.0 in. × 1.0 in.) and length L = 30 in. is... Problem 11.5.2P: ‘11.5-2 A steel bar having a square cross section (50 mm × 50 mm)and length L = 2.0 in is compressed... Problem 11.5.3P: A simply supported slender column is subjected to axial load P = 175 kips applied at distance e =... Problem 11.5.4P: A brass bar of a length L = 0.4 m is loaded at end B by force P = 10 kN with an eccentricity e =... Problem 11.5.5P: Determine the bending moment M in the pinned-end column with eccentric axial loads shown in the... Problem 11.5.6P: Plot the load-deflection diagram for a pinned-end column with eccentric axial loads (see figure) if... Problem 11.5.7P: Solve the preceding problem for a column with e = 0.20 in,, L = 12 ft, I = 2L7in4, and E = 30 ×... Problem 11.5.8P: A wide-flange member (W200 × 22.5) is compressed by axial loads that have a resultant P acting at... Problem 11.5.9P: A wide-f hinge member (W 10 × 30) is compressed by axial loads that have a resultant P = 20 kips... Problem 11.5.10P: Solve the preceding problem (W 250 × 44.8) if the resultant force P equals 110 kN and E = 200 GPa. Problem 11.5.11P: The column shown in the figure is fixed at the base and free at the upper end. A compressive load P... Problem 11.5.12P: An aluminum box column with a square cross section is fixed at the base and free at the top (sec... Problem 11.5.13P: Solve the preceding problem for an aluminum column with b = 6,0 in., t = 0.5 in., P = 10 kips, and E... Problem 11.5.14P: A steel post /t if with a hollow circular cross section is fixed at the base and free at the top... Problem 11.5.15P: A frame ABCD is constructed of steel wide-flange members (W8 x 21; E = 30 x ID6 psi) and subjected... Problem 11.6.1P: A steel bar has a square cross section of width b = 2.0 in. (sec figure). The bar has pinned... Problem 11.6.2P: ]11.6-2 A brass bar (E = 100 GPa) with a square cross section is subjected to axial forces having a... Problem 11.6.3P: A square aluminum bar with pinned ends carries a load P = 25 kips acting at distance e = 2,0 in.... Problem 11.6.4P: A pinned-and column of a length L = 2A m is constructed of steel pipe (E = 210GPa) having an inside... Problem 11.6.5P: A pinned-end strut of a length L = 5.2 ft is constructed of steel pipe (E = 30 × 103 ksi) having an... Problem 11.6.6P: A circular aluminum tube with pinned ends supports a load P = 18 kN acting at a distance e = 50 mm... Problem 11.6.7P: A steel W 12 × 35 column is pin-supported at the ends. The column carries an axial load p = 150 kips... Problem 11.6.8P: A steel W 310 x 52 column is pin-supported at the ends and has a length L = 4 m. The column supports... Problem 11.6.9P: A steel column (E = 30 x 103 ksi) with pinned ends is constructed of a W10 x 60 wide-flange shape... Problem 11.6.10P: A W410 × S5 steel column is compressed by a force P = 340 kN acting with an eccentricity e = 38 mm,... Problem 11.6.11P: A steel column ( E = 30 X 103 ksi) that is fixed at the base and free at the top is constructed of a... Problem 11.6.12P: AW310 × 74 wide-flange steel column with length L = 3.8 m is fixed at the base and free at the top... Problem 11.6.13P: A pinned-end column with a length L = 18 ft is constructed from a W12 x 87 wide-flange shape (sec... Problem 11.6.14P: The wide-flange, pinned-end column shown in the figure carries two loads: a force P1= 450 kN acting... Problem 11.6.15P: A W14 × 53 wide-flange column of a length L = 15 ft is fixed at the base and free at the top (see... Problem 11.6.16P: A wide-flange column with a bracket is fixed at the base and free at the top (see figure). The... Problem 11.9.1P: Determine the allowable axial load Pallowa W 10 X 45 steel wide-flange column with pinned ends (see... Problem 11.9.2P: Determine the allowable axial load Pallowfor a W 310 × 129 steel wide-flange column with pinned ends... Problem 11.9.3P: Determine the allowable axial load Pallowfor a W 10 × 129 steel wide-flange column with pinned ends... Problem 11.9.4P: Select a steel wide-flange column of a nominal depth of 250 mm (W 250 shape) to support an axial... Problem 11.9.5P Problem 11.9.6P: Select a steel wide-flange column of a nominal depth of 360 mm (W 360 shape) to support an axial... Problem 11.9.7P Problem 11.9.8P: Determine the allowable axial load Pallowfor a steel pipe column with pinned ends having an outside... Problem 11.9.9P: Determine the allowable axial load Pallowfor a steel pipe column that is fixed at the base and free... Problem 11.9.10P: Determine the allowable axial load Pallowfor a steel pipe column that is fixed at the base and free... Problem 11.9.11P: -11 Determine the maximum permissible length Lmaxfor a steel pipe column that is fixed at the base... Problem 11.9.12P: Determine the maximum permissible length Lmaxfor a steel pipe column that is fixed at the base and... Problem 11.9.13P: A steel pipe column with pinned ends supports an axial load P = 21 kips. The pipe has outside and... Problem 11.9.14P: The steel columns used in a college recreation center are 16.75 m long and arc formed by welding... Problem 11.9.15P: A W8 × 28 steel wide-flange column with pinned ends carries an axial load P. What is the maximum... Problem 11.9.16P Problem 11.9.17P Problem 11.9.18P Problem 11.9.19P Problem 11.9.20P Problem 11.9.21P Problem 11.9.22P: An aluminum pipe column (alloy 2014-T6) with pinned ends has an out side diameter d2= 120 mm and... Problem 11.9.23P Problem 11.9.24P Problem 11.9.25P Problem 11.9.26P Problem 11.9.27P Problem 11.9.28P Problem 11.9.29P Problem 11.9.30P Problem 11.9.31P: A wood column with, a rectangular cross section (see figure) is constructed of 4 in. × 8 im... Problem 11.9.32P Problem 11.9.33P Problem 11.9.34P: A square wood column with side dimensions b (see figure) is constructed of a structural grade of... Problem 11.9.35P: A square wood column with side dimensions b (see figure) is constructed of a structural grade of... Problem 11.9.36P Problem 11.4.1P: A fixed-end column with circular cross section is acted on by compressive axial load P. The...
Related questions
Mechanical Engineering
MENG222 Strength of Materials
My student number 18700053
Please solve it very quickly ??
1.Draw neat, labelled diagrams.
2. Write relevant equations.
3. Be clear and specific and include units in answers.
4. Give explanatory notes where necessary
Transcribed Image Text: THE MAGNITUDE OF THE LOAD ( P= kN) WILL BE THE SUMMATION OF ALL
THE NUMBERS IN YOUR STUDENT NUMBER.
The two members shown are all pinned jointed made of wood having square cross sections of
dimensions a x a. Determine the smallest value of a that will provide a factor of safety of 2.5
against buckling. Use E=12GPA for wood and assume the joint B is braced so that it can only
move in the plane of structure.
B
3m!
1.0m
2 m
1.5m
C
Branch of science that deals with the stationary and moving bodies under the influence of forces.
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