"QC.25. Figure below shows a nonsway frame. The following are the properties of the beams and columns: For beams AD and AE cross section is 330 by mm 500 mm. For beams BF and BG cross section is 330 by 570 mm and columns AB to AC is 330 by 530 mm. Also, the lengths in meters are L1 = 5.3, L2= 5.6, L3= 6.1, and L4 = 7.2 meters. The column AB is bent in single curvature about its y- axis. It is carrying a total factored axial load of 560 kN with an unfactored dead axial load of 196 kN. The factored end moments are 111 and 119 kN-m. If f'c = 27.1 MPa and fy = 414.8 MPa (1) What is the effective length factor of column AB, (2) What is the critical load of the column AB?, (3) Determine its moment magnifying factor, and (4) Determine the actual eccentricity of the load. "

"QC.25. Figure below shows a nonsway frame. The following are the properties of the beams and columns: For beams AD and AE cross section is 330 by mm 500 mm. For beams BF and BG cross section is 330 by 570 mm and columns AB to AC is 330 by 530 mm. Also, the lengths in meters are L1 = 5.3, L2= 5.6, L3= 6.1, and L4 = 7.2 meters. The column AB is bent in single curvature about its y- axis. It is carrying a total factored axial load of 560 kN with an unfactored dead axial load of 196 kN. The factored end moments are 111 and 119 kN-m. If f'c = 27.1 MPa and fy = 414.8 MPa (1) What is the effective length factor of column AB, (2) What is the critical load of the column AB?, (3) Determine its moment magnifying factor, and (4) Determine the actual eccentricity of the load. "

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

Determine the maximum tensile and compressive bending stresses developed in the beam shown. The cross section has the given properties: I = 40 x 10^6 mm4
The pin-connected structure shown in the figure consists of a rigid beam ABCD and two supporting bars. Bar (1) is a bronze alloy [E = 106 GPa] with a cross-sectional area of A1 = 210 mm2. Bar (2) is an aluminum alloy [E = 71 GPa] with a cross-sectional area of A2 = 610 mm2. All bars are unstressed before the load P is applied; however, there is a 4-mm clearance in the pin connection at A. Assume L1 = 2100 mm, a = 1100 mm, b = 650 mm, c = 500 mm, and L2 = 1430 mm. If a load of P = 127 kN is applied at B, determine(a) the normal stresses in both bars (1) and (2).(b) the downward deflection of point A on the rigid bar.
2.3-7 A steel bar 2.4 m long has a circular cross section of diameter d, = 20 mm over one-half of its length and diam- eter d, = 12 mm over the other half (see figure part a). The modulus of elasticity is E = 205 GPa. (a) How much will the bar elongate under a tensile %3D %3D load P = 22 kN?
Q2/ Find (x) so that the rigid beam remains in a horizontal position. Aluminum L = 5m A = 400mm² E = 70GPA Steel L = 3m A = 500mm? E = 200GPA 5m %3D Rigid beam Answer: x = 0.719m P = 50kN
Problem 1 A bar obtained by bonding together pieces of aluminum (Ea section shown below. Considering that the allowable stress (both in compression and tension) of aluminum and brass are 120 MPa and 180 MPa, respectively, determine the largest moment M that can be applied about the 70 GPa) and brass (Eb 105 GPa) has the cross horizontal axis. 8 mm 8 mm 32 mm- 8 mm 32 mm 8 mm Brass Aluminum
The pin-connected structure shown in the figure consists of a rigid beam ABCD and two supporting bars. Bar (1) is a bronze alloy [E = 94 GPa] with a cross-sectional area of A₁ = 280 mm2. Bar (2) is an aluminum alloy [E = 71 GPa] with a cross-sectional area of A2 = 590 mm². All bars are unstressed before the load P is applied; however, there is a 3-mm clearance in the pin connection at A. Assume L₁ = 1840 mm, a = 880 mm, b = 540 mm, c = 430 mm, and L₂ = 1340 mm. If a load of P = 87 kN is applied at B, determine (a) the normal stresses in both bars (1) and (2). (b) the downward deflection of point A on the rigid bar. h (1) L₁ b a BI Answers: C (2) D L2
The pin-connected structure shown in the figure consists of a rigid beam ABCD and two supporting bars. Bar (1) is a bronze alloy [E = 91 GPa] with a cross-sectional area of A1 = 230 mm2. Bar (2) is an aluminum alloy [E = 70 GPa] with a cross-sectional area of A2 = 730 mm2. All bars are unstressed before the load P is applied; however, there is a 4-mm clearance in the pin connection at A. Assume L1 = 1660 mm, a = 950 mm, b = 550 mm, c = 410 mm, and L2 = 1230 mm. If a load of P = 176 kN is applied at B, determine (a) the normal stresses in both bars (1) and (2). (b) the downward deflection of point A on the rigid bar.
An aluminum strut has a cross section referred to as 30 mm 30 mm a deep hat. Locate the centroid ỹ of its area. Each segment has a thickness of 10 mm. 100 mm 80 mm
H.W.1: A steel bar 6 m long is 5 cm in diameter for 3m of its length and 2.5 cm in diameter for the second 3m as shown in Figure below. The smallest diameter part of the bar is with 11 N/mm2 tensile stress due to the applied load. Find the final diameters of the two parts after the applied load. E for the steel is 200x10 N/mm and u of the steel is 0.28. P 3 m 3 m
The pin-connected structure shown in the figure consists of a rigid beam ABCD and two supporting bars. Bar (1) is a bronze alloy [E = 101 GPa] with a cross-sectional area of A₁ = 220 mm². Bar (2) is an aluminum alloy [E = 69 GPa] with a cross-sectional area of A2 = 740 mm². All bars are unstressed before the load P is applied; however, there is a 3-mm clearance in the pin connection at A. Assume L₁ = 2070 mm, a = 1060 mm, b = 610 mm, c = 460 mm, and L₂ = 1430 mm. If a load of P = 111 kN is applied at B, determine (a) the normal stresses in both bars (1) and (2). (b) the downward deflection of point A on the rigid bar. (1) L1 b B C (2) L2
M-0 relationship for a simply supported beam shown below is given by M A 1 0 M OO
The pin-connected structure shown in the figure consists of a rigid beam ABCD and two supporting bars. Bar (1) is a bronze alloy [E = 97 GPa] with a cross-sectional area of A₁ = 220 mm². Bar (2) is an aluminum alloy [E = 71 GPa] with a cross-sectional area of A2 = 550 mm². All bars are unstressed before the load P is applied; however, there is a 3-mm clearance in the pin connection at A. Assume L₁ = 1620 mm, a = 1120 mm, b = 680 mm, c = 500 mm, and L₂ = 1200 mm. If a load of P = 112 kN is applied at B, determine (a) the normal stresses in both bars (1) and (2). (b) the downward deflection of point A on the rigid bar. 4 (1) L a A b (2) D L2