A beam is subjected to equal bending moments of M, - 3600 N-m. The cross-sectional dimensions are b- 115 mm, c- 31 mm, d-66 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 M- H (typ) K b. Answer: mm (a) y= i ! mm I,- i mm S= MPa (b) OH = MPa (c) OK = MPa (d) Omax

A beam is subjected to equal bending moments of M, - 3600 N-m. The cross-sectional dimensions are b- 115 mm, c- 31 mm, d-66 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 M- H (typ) K b. Answer: mm (a) y= i ! mm I,- i mm S= MPa (b) OH = MPa (c) OK = MPa (d) Omax

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

i need the answer quickly
The cantilever beam, whose loading condition and cross-section are given in the figure, is ideal elasto-plastic and yield stressσA = 240 MPa.a) Draw the T and M diagrams.b) The PA force that will start flowing in the beam,c) Calculate the PG force that will cause collapse in the beam.
Problem 2 The rigid bar is plnned at A and held by two flexible bars at E and C. The load P Is applled at B. The two flexible bars FE and DC each have a diameter of 1 In. The flexible bars are elastic- perfectly plastic with a yleld stress equal to 20 ksl and a yleld strain of 0.001. Determine the following: The load R, at first yleld and the corresponding deflection at B, &, The ultimate load Pu and the corresponding deflection du The permanent deflection and residual stresses in each rod if the ultimate load is removed Construct P - A curve showing yield, ultimate and permanent deformation o (ksi) 1 ft E F 1 ft1 ft 20 B P e (in./in.) 0.001 1 ft D 2 ft 1 ft A
The cantilever beam, whose loading condition and cross-section are given in the figure, is ideal elasto-plastic and yield stress σA = 240 MPa.a) Draw the T and M diagrams.b) The PA force that will start flowing in the beam,c) Calculate the PG force that will cause collapse in the beam.
The beam is loaded by two point forces P. The beam is assembled according to the cross-sectional view by nailing wooden parts with cross-sections of 50 mm x c = 220 mm and 25 mm x d = 260 mm. How large can the value of the load P be when the distance between the nails in the longitudinal direction of the beam is 100 mm, the cross-sectional area of the nail is 9 mm2 and their permissible shear stress is 110MPa? Then calculate the maximum stresses and shear stresses of the beam at that load when the distance between the articulated supports is L = 1.9 m and the length of the beam projections a = 1.3 m. Permissible shear force of one nail? kN Static torque of the cutting surface? mm^3 Maximum torque change in cantilever? kNm Cutting force of the projection? kN Magnitude of force P? kN Calculated with the obtained force P maximum normal stress? MPa shear stress maximum? MPa
A simple beam is subjected to two concentrated loads as shown. The beam section is a rectangular one, A = b×h and k = 1.2.Parameters G, E, I, M, V, and A. Please find a. The strain energy (ub and us) of the deformed beam under the applied loads. The strain energy ub due to bending and another one us due to shear. b.The deflection at mid-span due to bending and shear.
Part 2,3,4
Topic: Mechanics of Deformable bodies: Stress Answer with a complete solution
.
Using an Permissible stress of 155 MPa, determine the maximum bending moment M that can be applied to the wide-flange beam shown in the figure
A mild steel bar, 1.5 m long, has a square section 40 mm x 40 mm. The bar is subjected to a two- dimensional stress, , = 310 N/mm² (tensile) and , -300 N/mm² (compressive). E = 2 × 10 N/mm², Poisson's ratio=0.3. The elongation of the bar is the direction of , will be
TRUE OR FALSE ONLY. PLEASE HELP 1. Area of shear diagram is equal to the magnitude of bending moment. A 2. Parallel area is the resisting area for shear force. 3. The deflection of the beam is its elastic curve when the beam bends 4. Flexural stress is a bending stress. 5. The elastic limit is the limit beyond which the material will no longer go back to its original shape when the load is removed, or it is the maximum stress that may be developed such that there is no permanent or residual deformation when the load is entirely removed.