1. The column in the figure shown has a strain on its compressive edge equal to -0.003 and has a tensile strain of +0.00185 on its other edge. Detemine the nominal values of Pn and Mn that cause this strain distribution if f'c = 21 MPa, fy = 414 MPa. Draw the column interaction diagram. en 600 Pn mm 8 - 0 32mm 75 225 225 75 600

1. The column in the figure shown has a strain on its compressive edge equal to -0.003 and has a tensile strain of +0.00185 on its other edge. Detemine the nominal values of Pn and Mn that cause this strain distribution if f'c = 21 MPa, fy = 414 MPa. Draw the column interaction diagram. en 600 Pn mm 8 - 0 32mm 75 225 225 75 600

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

The initially square element of a material is deformed as shown. Determine the shear strain of the element and the normal strains of the diagonals AC and BD. B Undeformed Deformed D 2.0 mm -2.015 mm uu 5661
An aluminum tube with the hexagonal cross-section shown is 2.5 ft long and has a constant wall thickness of 0.080 in. Find (a) the largest torque that the tube can carry if the shear stress is limited to 7200 psi. Use G = 4 x 106 psí for aluminum. 11.5 in 0.075 in O 6734 lb-in O 7634 lb-in O 6374 lb-in O 7346 lb-in
The state of stress at a point is shown with respect to xy-plane. The state of stress at a point is shown with respect to x'y'-plane? 8 MPa y'v 60° S MPa +S MPa 10 MPa 8 MPa
Question 1: The piece of plastic is originally rectangular. Given LCD and LAD are 400 and 300 mm, respectively. If the plastic distorts as shown by the dashed lines, a) Determine the average normal strain that occurs along CD. b) Determine the average normal strain that occurs along AD. c) Determine the shear strain Yxy at corner C. 2 mm LCD 2 mm D LAD mm B 12 mm 3 mm mm
A thin polymer plate PQR is deformed so that corner Q is displaced downward by a distance L = 1.45 mm to new position Q' as shown. Determine the shear strain at Q' associated with the two edges (PQ and QR). 120 mm 480 mm. P R 240 mm -2692 μrad -3352 μrad O-4917 prad -3610 μrad O-2921 urad Q 'Q' X
The normal and shear stresses acting on element A are 6,650 psi, 17,600 psi, and 2,700 psi (see part (b) of the figure below). (Consider only the in-plane stresses - the stresses in the xy-plane). 117,600 psi B A 6,650 psi A Cross Side |2,700 psi Section View (a) (b) Determine the maximum shear stresses (in psi), associated normal stresses (in psi), and angles of the principle planes (in degrees counterclockwise from the +x-axis). (For maximum shear stress, enter the magnitude. For normal stresses, use the sign convention for stresses acting on inclined sections.) max = psi psi 02 psi %3D ° counterclockwise from the +x-axis p1 p2 ° counterclockwise from the +x-axis
AN ALUMINUM TUBE IS FASTENED BETWEEN A STEEL ROD AND BRONZE ROD AS SHOWN IN THE FIGURE. AXIAL LOADS ARE APPLIED AT THE POSITIONS INDICATED. FIND THE VALUE OF P THAT WILL NOT EXCEED A MAXIMUM OVERALL DEFORMATION OF 5mm OR A STRESS IN THE STEEL OF 120MPa, IN BRONZE OF 130 MPa AND IN ALUMINUM OF 90 MPa. Modulus of Elasticty of Bronze = 80 GPa, Aluminum = 65 GPa and Steel = 210 GPa. 2P P 3P 4P L = 500mm 800 A = 400mm² 900 600 700 C
A thin polymer plate PQR is deformed so that corner Q is displaced downward 1.3 mm to new position Q', as shown in. Determine the shear strain at Q' associated with the two edges (PQ and QR). Assume a = 64 mm, b = 100 mm, c = 80 mm, and Δ = 1.3 mm.
A small aluminum alloy [E = 61 GPa] tee shape is used as a simply supported beam as shown. For this beam, a = 155 mm. The cross-sectional dimensions of the tee shape are b %3D = 22 mm, d = 33 mm, and t = 7 mm. After loads are applied to the beam at B, C, and D, a %3D compressive normal strain of 420 µɛ is measured from a strain gage located at c = 6 mm below the topmost edge of the tee stem at section 1-1. What is the applied load P? P 3P В D E Strain gage- d H b Answer: P = i N
Question 6 The state of plane stress shown in Fig. Q6 occurs at a critical point of a steel component. The tensile yield strength oy 200 MPa for the grade of steel used. Use Mohr's circle to determine the factor of safety k with respect to yield using = (a) the maximum-shearing-stress criterion, and (b) the maximum-distortion-energy criterion. 40 MPa 25 MPa Fig. Q6 80 MPa
A thin rectangular polymer plate PQRS of width b = 361 mmand height = 193 mm is shown in the figure. The plate is deformed so that corner Q is displaced upward by c = 3.1 mm and corner R is displaced leftward by the same amount. Determine the shear strain at corner P after deformation. a Y = b S a urad
2.) When an axial load is applied to the ends of the bar shown, the total elongation of the bar between joints A and C is 0.15 in. Ing segment BC, the normal strain is measured as 1,300 µin/in. Determine: (a) the elongation of segment BC; (b) the normal strain in segment AB of the bar. A tuhe with R 10u106 ni i 11