5.5-13 Determine the maximum tensile stress o, (due to pure bending about a horizontal axis through C by positive bending moments M) for beams having cross sections as follows (see figure). (a) A semicircle of diameter d (b) An isosceles trapezoid with bases b, = b and b2 = 4b/3, and altitude h (c) A circular sector with a = 1/3 and r = d/2 Xc C C a (a) (b) (c)

5.5-13 Determine the maximum tensile stress o, (due to pure bending about a horizontal axis through C by positive bending moments M) for beams having cross sections as follows (see figure). (a) A semicircle of diameter d (b) An isosceles trapezoid with bases b, = b and b2 = 4b/3, and altitude h (c) A circular sector with a = 1/3 and r = d/2 Xc C C a (a) (b) (c)

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

A wood beam with a rectangular cross section(see figure) is simply supported on a span oflength L. The longitudinal axis of the beam is horizontal,and the cross section is tilted at an angle α.The load on the beam is a vertical uniform load ofintensity q acting through the centroid C.Determine the orientation of the neutral axisand calculate the maximum tensile stress σmax ifb = 80 mm, h =140 mm, L =1.75 m, α = 22.58, andq = 7.5 kN/m.
A cantilever beam AB, loaded by a uniform load and a concentrated load (see figure), is constructed of a channel section. 250 lb 22.5 lb/ft A 5.0 ft 3.0 ft- 0.617 in. 2.269 in. (a) Find the maximum tensile stress o, (in psi) and maximum compressive stress o, (in psi) if the cross section has the dimensions indicated and the moment of inertia about the z-axis (the neutral axis) is I = 3.10 in4. Note: The uniform load represents the weight of the beam. (Use the deformation sign convention.) O, = psi psi (b) Find the maximum value of the concentrated load (in Ib) if the maximum tensile stress cannot exceed 4 ksi and the maximum compressive stress is limited to 18.0 ksi. (Enter the magnitude.) Ib (c) How far from A (in ft) can load P = 250 lb be positioned if the maximum tensile stress cannot exceed 4 ksi and the maximum compressive stress is limited to 18.0 ksi? ft
A beam having a cross section in the formof a channel (see figure) is subjected to a bendingmoment acting about the z axis.Calculate the thickness t of the channel in orderthat the bending stresses at the top and bottom of thebeam will be in the ratio 7:3, respectively.
A wide-flange beam (see figure) is subjected to a shear force V. Using the following dimensions of the cross section, calculate the moment of inertia and then determine the following quantities. b = 6 in., t = 0.5 in., h = 11 in., h, = 9.3 in., V = 25 kips Note: Disregard the fillets at the junctions of the web and flanges and determine all quantities, including the moment of inertia, by considering the cross section to consist of three rectangles. (a) the maximum shear stress T, (in psi) in the web max psi (b) the minimum shear stress T (in psi) in the web min psi (c) the average shear stress 7aver (obtained by dividing the shear force by the area of the web) and the ratio max aver (Enter your answer for Taver in psi.) 'aver psi max Taver V web (in kips) carried in the web and the ratio V (d) the shear force V. web V. kips web V web V
Please solve this question again. I think previous solution was incorrect
A railroad tie (or sleeper) is subjected to two rail loads, each of magnitude P = 177 kN, acting as shown in the figure. L 9 £a The reaction q of the ballast is assumed to be uniformly distributed over the length of the tie, which has cross-sectional dimensions b 300 mm and h = 250 mm. Calculate the maximum bending stress o (in MPa) in the tie due to the loads P, assuming the distance L = 1,500 mm and the overhang length a = 495 mm. (Enter the magnitude.) max MPa
5.5-13 Determine the maximum tensile stress o, (due to pure bending about a horizontal axis through C by positive bending moments M) for beams having cross sections as follows (see figure). (a) A semicircle of diameter d (b) An isosceles trapezoid with bases b¡ = b and b2 = 4b/3, and altitude h (c) A circular sector with a = m/3 and r = d/2 %3D |y C Xc a (a) (b) (c)
During construction of a highway bridge, the main girders are cantilevered outward from one pier toward the next (see figure). Each girder hasa cantilever length of 48 m and an I-shaped cross section with dimensions shown in the figure. The load on each girder (during construction) is assumed to be 9.5 kN/m, which includes the weight of the girder. Determine the maximum bending stress in a girder due to this load.
For the beam and loading situation shown in the figure;(e) Find the slope value at point A (A).