Question

In: Civil Engineering

An I-section joist 450 mm x 250 mm x 20 mm is used as a strut...

An I-section joist 450 mm x 250 mm x 20 mm is used as a strut with one end fixed and the other end free carrying a buckling load of 200 × 106 N. Suggest the changes to be made in the length of the strut for a constant flexural rigidity by considering both the ends to be hinged, both the ends to be fixed and one end fixed but the other end hinged. Compare the values of the safe buckling load for all end conditions. Given modulus of elasticity of the material, E = 210 GPa and consider factor of safety = 5.
If the least radius of gyration of the column was found to be 25.96 mm, determine the values for the slenderness ratio for all four end conditions of the column. State and verify the validity of the Euler’s column theory based on the slenderness ratio for all the four end conditions.

Solutions

Expert Solution

Complete solution is given below.


Related Solutions

A Styrofoam(k = 0.035 W/m-°C) box has outer dimensions of 250 mm x 450 mm x...
A Styrofoam(k = 0.035 W/m-°C) box has outer dimensions of 250 mm x 450 mm x 600 mm and is 3 cm thick. Initially, the box is filled with 40kg of ice at 0°C, and the inner surface temperature of the ice chest can always be taken to be 0°C. The heat transfer coefficient between the outer surface of box and surrounding air at 35°C is 20 W/m2 -°C. (a) Determine how long it will take for the ice in...
a. An unsymmetrical I section prestressed concrete beam of top flange (350 X 40 mm) in...
a. An unsymmetrical I section prestressed concrete beam of top flange (350 X 40 mm) in size, bottom flange of (200 X 40 mm), 30mm thickness of web and overall depth of 400 mm is prestressed with 19 numbers straight steel wires of 7 mm diameter located at a distance of 15 mm from the bottom of the soffit and 9 numbers of straight steel wires of 6 mm diameter located at a distance of 15 mm from the top...
a. An unsymmetrical I section prestressed concrete beam of top flange (350 X 40 mm) in...
a. An unsymmetrical I section prestressed concrete beam of top flange (350 X 40 mm) in size, bottom flange of (200 X 40 mm), 30mm thickness of web and overall depth of 400 mm is prestressed with 19 numbers straight steel wires of 7 mm diameter located at a distance of 15 mm from the bottom of the soffit and 9 numbers of straight steel wires of 6 mm diameter located at a distance of 15 mm from the top...
Consider a block of size 30 mm x 20 mm x 10 mm made of two...
Consider a block of size 30 mm x 20 mm x 10 mm made of two metallic materials, the stronger material for the bottom half of the block and the weaker material for the top half. The displacements of 8 material points of the block have been measured after certain loading and they are given in the Table below. (a) Determine the distributions of displacements, strains and stresses in the block, in the xyz co-ordinate system. Choose two suitable isotropic...
An unsymmetrical I section prestressed concrete beam of top flange (350 X 40 mm) in size,...
An unsymmetrical I section prestressed concrete beam of top flange (350 X 40 mm) in size, bottom flange of (200 X 40 mm), 30mm thickness of web and overall depth of 400 mm is prestressed with 19 numbers straight steel wires of 7 mm diameter located at a distance of 15 mm from the bottom of the soffit and 9 numbers of straight steel wires of 6 mm diameter located at a distance of 15 mm from the top of...
Determine shear force resisted by a Reinforced concrete beam of size 230 x 450 mm simply...
Determine shear force resisted by a Reinforced concrete beam of size 230 x 450 mm simply supported over an effective span of 5.5 m which is reinforced with 4 - #16 mm bars in tension, supported with #8 mm dia 2-legged stirups @ 150 mm c/c upto 0.25 L from end Support and #8 mm dia 2-legged stirups @ 100 mm c/c at mid-span. consider moderate exposed conditions, use M20 grade of concrete and Fe 415 grade of HYSD steel.
A 450 mm × 650 mm column supports factored axial load of 2500 kN centered in...
A 450 mm × 650 mm column supports factored axial load of 2500 kN centered in single footing. After assuming the depth and density of soil above footing, assume the required depth of footing [10 marks]. a) Check depth due to two-way shear b) Check depth due to one-way shear action c) Calculate the bending moment and steel reinforcement e) Determine development length of dowels d) Check bearing stress e) Determine development length of dowels
A solution is prepared that contains 10 mM NaCl, 20 mM CaCl2, 20 mM BaCl2, and...
A solution is prepared that contains 10 mM NaCl, 20 mM CaCl2, 20 mM BaCl2, and 50 mM NiNO3. Of course, all these salts completely dissolve to their respective cations and anions. The pH is 7.0. (a) Calculate the ionic strength of the solution. (b) Calculate the activity coefficients for H+, Cl-, and Ba2+ (use the Guntenberg approximation because the solutions do, though note there are a few other equations and a graph that can be used at your discretion...
Results obtained from a tension test on a bar of uniform cross section 10 mm x...
Results obtained from a tension test on a bar of uniform cross section 10 mm x 10 mm subjected to an axial pull of 8000 N were tabulated. The lateral dimensions of the bar were found to be changed to 9.9985 mm x 9.9985 mm while using a material having modulus of rigidity equal to 0.8 x 107 N/cm2. By determining the values for different moduli, identify the properties of material and establish the relationship between them. What changes will...
Results obtained from a tension test on a bar of uniform cross section 10 mm x...
Results obtained from a tension test on a bar of uniform cross section 10 mm x 10 mm subjected to an axial pull of 8000 N were tabulated. The lateral dimensions of the bar were found to be changed to 9.9985 mm x 9.9985 mm while using a material having modulus of rigidity equal to 0.8 x 107 N/cm2. By determining the values for different moduli, identify the properties of material and establish the relationship between them. What changes will...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT