A rod is composed of an aluminum section rigidly attached between steel and bronze sections, as shown in Figure. Axial loads are applied at the positions indicated. If P 3800 lb and the cross sectional area of the rod is 0.65 in 2, %3D determine the stress in each section. 4D Steel Bronze Aluminum 2 ft 3 ft 2.5 ft

A rod is composed of an aluminum section rigidly attached between steel and bronze sections, as shown in Figure. Axial loads are applied at the positions indicated. If P 3800 lb and the cross sectional area of the rod is 0.65 in 2, %3D determine the stress in each section. 4D Steel Bronze Aluminum 2 ft 3 ft 2.5 ft

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter5: Stresses In Beams (basic Topics)

Section: Chapter Questions

Problem 5.12.16P

See similar textbooks

Similar questions

A prismatic bar with a length L = 3 ft and cross-sectional area A = 8 in2 is compressed by an axial centroidal load P = 10 kips. Determine the complete state of stress acting on an inclined section pq that is cut through the bar at an angle W = 35", and show the stresses on a properly oriented stress element.
A circular post, a rectangular post, and a post of cruciform cross section are each compressed by loads that produce a resultant force P acting at the edge of the cross section (see figure). The diameter of the circular post and the depths of the rectangular and cruciform posts are the same. For what width b of the rectangular post will the maximum tensile stresses be the same in the circular and rectangular posts? Repeat part (a) for the post with cruciform cross section. Under the conditions described in parts (a) and (b), which post has the largest compressive stress?
A short column constructed of a W 12 × 35 wide-flange shape is subjected to a resultant compressive load P = 25 k having its line of action at the midpoint of one flange (see figure). Determine the maximum tensile and compressive stresses d1and d2., respectively, in the column. Locate the neutral axis under this loading condition. Recompute maximum tensile and compressive stresses if a C 10 × 15.3 is attached to one flange, as shown.
A traffic light and signal pole is subjected to the weight of each traffic signal We = 45 lb and the weight of the road lamp WL= 55 lb. The pole is fixed at the base. Find the principal normal stresses and the maximum shear stress on element B located 19 ft above the base (see figure). Assume that the weight of the pole and lateral arms is included in the signal and lamp weights
-26 A rectangular plate of dimensions 125 mm × 75 mm is subjected to tensile stress sy= 67 kPa and compressive stress a. If it is known that the normal stress along the diagonal t—t is ??t= -6.57 kPa, find stress ??y on element A. a
Solve the preceding problem if the norm al and shear stresses acting on the element are sx = 2100 kPa, sy= 300 kPa, and txy= -560 kPa, and the seam is oriented at an angle of 22.5° to the clement.
A simply supported beam is subjected to point load P at mid-span. The normal stress on an element at mid-span is known to be ??x= 1.5 ksi. Determine the element stresses lilt is rotated through angle ? = 450• Show these stresses on a sketch of an element oriented at that angle.
Solve the preceding problem for an element in plane stress on the bottom surface of a fuel tanker (figure part a); stresses are sx= 105 MPa, sy. = 75 MPa, and ??xy= 25 MPa. Determine the stresses acting on an element oriented at an angle ?? = 40° from the x axis, where the angle is positive when counterclockwise. Show these stresses on a sketch of an element oriented at the angle ??.
Two bars AC and BC of the same material support a vertical load P (see figure). The length L of the horizontal bar is fixed, but the angle fl can be varied by moving support A vertically and changing the length of bar AC to correspond with the new position of support A. The allowable stresses in the bars are the same in tension and compression. When the angle ft is reduced, bar AC becomes shorter, but the cross-sectional areas of both bars increase because the axial forces are larger. The opposite effects occur if the angle 0 is increased. Thus, the weight of the structure (which is proportional to the volume) depends upon the angle ft. Determine the angle ft so that the structure has minimum weight without exceeding the allowable stresses in the bars. Note: The weights of the bars are very small compared to the force P and may be disregarded.
A solid circular bar having diameter d is to be replaced by a rectangular tube having cross-sectional dimensions d × 2d to the median line of the cross section (see figure). Determine the required thickness tminof the tube so that the maximum shear stress in the tube will not exceed the maximum shear stress in the solid bar.
A steel bar has a square cross section of width b = 2.0 in. (sec figure). The bar has pinned supports at the ends and is 3.0 ft long. The axial forces acting at the end of the bar have a resultant P = 20 kips located at distance e = 0,75 in, from the center of the cross section. Also, the modulus of elasticity of the steel is 29,000 ksi. Determine the maximum compressive stress max, in the bar. If the allowable stress in the steel is 18,000 psi, what is the maximum permissible length Lmaxof the bar?
Solve the preceding problem if F =90 mm, F = 42 kN, and t = 40°MPa