A column is constructed from high strength concrete reinforced with 8 A992 steel rods. The column has diameter d₁ = 8 in. and the steel rods have diameter d₂ = 1 in. If an axial load of P = 200 kip is applied, calculate the magnitude of the resulting average normal stress in the concrete and in the steel rods. Esteel =29000 ksi, Econcrete = 4200 ksi d₁ 1 P ↑ d₂ BY NO SA 2021 Cathy Zupke The magnitude of the average normal stress in the steel rods is σ steel = The magnitude of the average normal stress in the concrete is σ concrete = ksi. ksi.

Determine the allowable axial load Pallowfor a steel pipe column that is fixed at the base and free at the top (see figure) for each of the following lengths: L = 2,6 m, 2.8 m, 3.0 m, and 3.2 m. The column has an outside diameter d = 140 mm and wall thickness t = 7 mm, (Assumed = 200 GPa and ( y= 250 MPa.)

Select a steel wide-flange column of a nominal depth of 360 mm (W 360 shape) to support an axial load P = 1100 kN (see figure). The column has pinned ends and length L = 6 m. Assume E = 200 GPa and y= 340 MPa. Note: The selection of columns is limited to those listed in Table F-l(b), Appendix F.

A steel bar has a square cross section of width b = 2.0 in. (sec figure). The bar has pinned supports at the ends and is 3.0 ft long. The axial forces acting at the end of the bar have a resultant P = 20 kips located at distance e = 0,75 in, from the center of the cross section. Also, the modulus of elasticity of the steel is 29,000 ksi. Determine the maximum compressive stress max, in the bar. If the allowable stress in the steel is 18,000 psi, what is the maximum permissible length Lmaxof 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.

An idealized column consists of rigid bar ABCD with a roller support at B and a roller and spring support at D. The spring constant at D. is ß = 750 N/m. Find the critical load Pcrof the column.

A W8 × 28 steel wide-flange column with pinned ends carries an axial load P. What is the maximum permissible length of the column if (a) P = 50 kips, and (b) P = 100 kips? (Assume E = 29,000 ksi and y = 36 ksi.)

A steel pipe column with pinned ends supports an axial load P = 21 kips. The pipe has outside and inside diameters of 3.5 in. and 2.9 in., respectively. What is the maximum permissible length Lmaxof the column if E = 29,000 ksi and y = 36 ksi?

2m +L P+ 2m Ţ 2m Find the P load that the structural element can safely carry considering c and b planes. Indicate whether there is a single-sign normal stress distribution or not. Gall = 120 MPa

= A column is constructed from high strength concrete reinforced with 8 A992 steel rods. The column has diameter d₁ = 7.5 in. and the steel rods have diameter d2 0.75 in. If an axial load of P = 180 kip is applied, calculate the magnitude of the resulting average normal stress in the concrete and in the steel rods. Hint: The displacement of the concrete must be the same as that of the steel. d₁ d₂ ✓ 080 BY NO SA 2021 Cathy Zupke The magnitude of the average normal stress in the steel rods is a steel = The magnitude of the average normal stress in the concrete is o concrete = ksi. ksi.