8. The overhanging beam shown is a built-up beam. The dimensions and loads are as follows: e = g = h = 25 mm; f =i = 100 mm. The centroid of the cross section is located 42.5 mm below the top surface. Determine the moment of inertia of the neutral axis of its cross-section in mm'. a. 1.09 x 106 с. 2.01 x 106 b. 1.89 х 10° d. 3.76 x 10

8. The overhanging beam shown is a built-up beam. The dimensions and loads are as follows: e = g = h = 25 mm; f =i = 100 mm. The centroid of the cross section is located 42.5 mm below the top surface. Determine the moment of inertia of the neutral axis of its cross-section in mm'. a. 1.09 x 106 с. 2.01 x 106 b. 1.89 х 10° d. 3.76 x 10

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

3. Determine the maximum deflection for the beam shown by the moment-area method. 30 k Į B -7 ft- El = constant E I -14 ft- = 10,000 ksi = 500 in.4 =
A beam is subjected to equal bending moments of M₂ = 3200 N-m. The cross-sectional dimensions are b= 145 mm, c = 30 mm, d= 72 mm, and t = 3 mm. Determine: (a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative. (c) the bending stress at point. K. Tensile stress is positive, while compressive stress is negative. (d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative. M₂ M₂ X (typ) 4 b H K d
A concentrated load P = 5 kN, acting downwards, is located midway between the simple supports of the beam shown. Determine the deflection, in mm, at the free-end C. Use a = 5 m., E = 207 GPa, and I = 252 x10^6 mm^4.
b6
A beam is subjected to equal bending moments of M. = 3700 N-m. The cross-sectional dimensions are b = 110 mm,c= 32 mm, d = 65 mm, and t = 5 mm. Determine: (a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative. (c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative. (d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative. M. (typ) K b Answer: (a) y= 1 mm mm4 S= mm? (b) OH = MPa (c) OK = 1 MPa (d) Omax = MPa
Determine the horizontal deflection at joint C of the truss by virtual work method. Use E = 10,000 Ksi. A = 5 in² L1 = 4 ft, L2 = 5 ft, L3= 12 ft, P = 26 K, A L1 B __ L2 → P L3 K
A beam is subjected to equal bending moments of M₂ = 2700 N-m. The cross-sectional dimensions are b = 100 mm, c = 27 mm, d = 72 mm, and t = 4 mm. Determine: (a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative. (c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative. (d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative. Answer: (a) y= i ¹₂ = i S = i M₂ (b) σH= i (c) OK= i (d) a max M₂ x mm mm4 mm³ MPa MPa MPa (typ) N b H K
Conjugate Beam Method The compound beam is subjected to the loadings as shown in the figure below. Use E-200x10 kPa and 1-125x10 m Determine the following: a. The deflection at the pin-connection at B b. The slope at point C c. The slope at the roller support at D, and d. Draw the elastic curve of the beam.
The cantilever beam consists of a rectangular structural steel tube shape [E = 29,000 ksi; I = 1620 in.4]. For the loading shown, determine: (a) the beam deflection at point A. (b) the beam deflection at point B. Assume MA = 190 kip-ft, P = 26 kips, LAB = 3.6 ft, LBC = 5.4 ft. %3D %3D P V. MA C LAB LBC Answer: (a) VA = in. (b) VB = in.
A simply supported beam (E = 12 GPa) carries a uniformly distributed load q = 120 N/m, and a point load P = 126 N at mid-span. A |C L/2- -L/2 - The beam has a rectangular cross section (b = 75 mm, h = 200 mm) and a length of 3.6 m. Calculate the maximum deflection (in mm) of the beam. (Enter the magnitude. Solve the problem by the method of superposition. All beams have constant flexural rigidity EI.) mm
2
Compute the deformation of the beam using conjugate method E= 200 GPa I= 1000 x 106 mm4