A beam with a channel section is subjected to a bending moment M having its vector at an angle e to the z-axis (see figure). Determine the orientation of the neutral axis B (in degrees clockwise from the +z-axis) and calculate the maximum tensile stress o, and maximum compressive stress o, in the beam. (For the stresses, enter your answers in ksi and use the deformation sign convention. To solve this problem, be sure to draw a sketch of the cross section showing the orientation of the neutral axis and the locations of the points where the stresses are being found.) Use the following data: C8 x 11.5 section, M = 44 kip-in., tan(0) = See this table for the dimensions and properties of the channel section. B = ° clockwise from the +z-axis ksi ksi

A beam with a channel section is subjected to a bending moment M having its vector at an angle e to the z-axis (see figure). Determine the orientation of the neutral axis B (in degrees clockwise from the +z-axis) and calculate the maximum tensile stress o, and maximum compressive stress o, in the beam. (For the stresses, enter your answers in ksi and use the deformation sign convention. To solve this problem, be sure to draw a sketch of the cross section showing the orientation of the neutral axis and the locations of the points where the stresses are being found.) Use the following data: C8 x 11.5 section, M = 44 kip-in., tan(0) = See this table for the dimensions and properties of the channel section. B = ° clockwise from the +z-axis ksi ksi

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

A beam is of a cross- section in the form of a channel as shown in the figure STR - 2. When subjected to sagging bending moment about X-X axis, the ratio of maximum compressive stress to tensile stress is 7:3. Determine the dimension b. I need answer ASAP. Thank you!
X Your answer is incorrect. A small aluminum alloy [E = 75 GPa] tee shape is used as a simply supported beam as shown. For this beam, a = 160 mm. The cross- sectional dimensions of the tee shape are b = 21 mm, d= 32 mm, and t = 4 mm. After loads are applied to the beam at B, C, and D, a compressive normal strain of 460 µɛ is measured from a strain gage located at c = 7 mm below the topmost edge of the tee stem at section 1-1. What is the applied load P? 3P Strain gage d D E 2 H b Answer: P = i 112.79 N %3D
Determine the bending stress and shear stress in the problem below.
Calculate the shear stress on a-a plane.
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
The section of a thick beam has the dimensions shown in the figure below. Calculate the section properties lz, ly and Izy (Izy = product of inertia) referred to horizontal and vertical axes through the centroid of the section. Refer to Section 6 in your notes for properties of planed sections. Also determine the direct stress at the point A due to a bending moment My = 55 Nm. (Hint: use Page 7-9 in your notes) Ay A 5 mm 20 mm G 5 mm 5 mm 10 mm
A steel pipe is subjected to the 16-kN load shown below. Its outside diameter is 140 mm and its thickness is 7 mm. Consider that the yield strength of steel is 240 MPa. Analyze point H ONLY. Due to the pressure in the pipe, there is an 11.25-MPa (T) normal stress along x and a 22.50-MPa (T) normal stress along z of point H. A. Determine the internal forces and moments at the pertinent section through an FBD. B. Determine the stresses experienced by point H. Illustrate using a stress element. C. Determine the FS by MSST at point H D. Determine the von Mises equivalent stress at point H E. Determine the FS by MDET at point H 700 mm 16 KN 1,300 mm
Solve for bending stress
Question 2. The square plate ABCD is deformed into the shape shown by the dashed lines. If DC has a normal strain Ex = 0.005, DA has a normal strain ey = 0.004 at D, Yxy = 0.01rad determine the shear strain at point E with respect to the x' and y' axes. 600 mm- 600 mm E D
A beam with a T-section is supported and loaded as shown in the figure. The cross section has width b = 2 1/2 in., height h = 3 in., and thicknesst =3/8 in.(a) Determine the maximum tensile and compressive stresses in the beam.(b) If the allowable stresses in tension and compression are 18 ksi and 12 ksi, respectively, what is the required depth h of the beam? Assume thatthickness t remains at 3/8 in. and that flange width b 5 2.5 in.(c) Find the new values of loads P and q so that the allowable tension (18 ksi) and compression (12 ksi) stresses are reached simultaneously forthe beam. Use the beam cross section in part (a) (see figure) and assume that L1, L2, and L3 are unchanged.
Define the following:a. Proportional limitb. Elastic limitc. Yield stress
A small aluminum alloy [E = 74 GPa) tee shape is used as a simply supported beam as shown. For this beam, o = 130 mm. The cross- sectional dimensions of the tee shape are b= 23 mm, d = 35 mm, and t = 8 mm. After loads are applied to the beam at B,C.and D, a compressive normal strain of 480 ue is measured from a strain gage located at c = 7 mm below the topmost edge of the tee stem at section 1-1 What is the applied load P? 3P Strain gage D H Answer: P= N