The solid 1.35-in.-diameter rod is subjected to a uniform axial distributed loading along its length of w = 750 lb/ft. Two concentrated loads also act on the rod: P = 2100 lb and Q = 1200 lb. Assume a = 11 in. and b = 22 in. Determine the normal stress in the rod at the following locations: (a) x = 7 in. (b) x = 21 in.

The solid 1.35-in.-diameter rod is subjected to a uniform axial distributed loading along its length of w = 750 lb/ft. Two concentrated loads also act on the rod: P = 2100 lb and Q = 1200 lb. Assume a = 11 in. and b = 22 in. Determine the normal stress in the rod at the following locations: (a) x = 7 in. (b) x = 21 in.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter11: Columns

Section: Chapter Questions

Problem 11.6.1P: A steel bar has a square cross section of width b = 2.0 in. (sec figure). The bar has pinned...

See similar textbooks

Similar questions

A vertical pole consisting of a circular tube of outer diameter 5 in. and inner diameter 4.5 in. is loaded by a linearly varying distributed force with maximum intensity of q0, Find the maximum shear stress in the pole.
A spherical balloon with an outer diameter of 500 mm and thickness 0.3 mm is filled with a gas. Calculate maximum permissible pressure in the balloon if the allowable normal strain at the outer surface of the balloon is O.h Assume E = 4 MPa and v = 0,45.
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 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?
The axial assembly consists of a solid 1-in.-diameter aluminum alloy [E = 11000 ksi, v = 0.26, α= 10.5 × 10−6/°F] rod (1) and a solid 1.49-in.-diameter bronze [E = 15300 ksi, v = 0.15, α= 7.6 × 10–6/°F] rod (2). Assume L1=11 in., L2=22 in. If the supports at A and C are rigid and the assembly is stress free at 16°F, determine:(a) the normal stresses σ1, σ2 in both rods at 213°F (positive if tensile, negative if compressive).(b) the displacement uB of flange B (positive if to the right, negative to the left).(c) the change in diameter Δd1 of the aluminum rod.
Pipe (2) is supported by a pin at bracket C and by tie rod (1). The structure supports a load P at pin B. Tie rod (1) has a diameter of 15 mm and an allowable normal stress of 115 MPa. Pipe (2) has an outside diameter of 58 mm, a wall thickness of 3 mm, and an allowable normal stress of 65 MPa. Assume x3 = 3.7 m, x2 = 1.5 m, and y; = 4.1 m, Determine the maximum load Pmax that can be supported by the structure without exceeding either allowable normal stress
The assembly shown below consists of a brass shell (1) fully bonded to a ceramic core (2). The brass shell [E = 115 GPa; α = 18.7 x 10-6 /°C] has an outside diameter of 50 mm and an inside diameter of 35 mm. The ceramic core [E = 290 GPa; α = 3.1 x 10-6 /°C] has a diameter of 35 mm. At a temperature of 15°C, the assembly is unstressed. Determine the largest temperature increase that is acceptable for the assembly if the normal stress in the longitudinal direction of the brass shell must not exceed 80 MPa.
The rigid beam BC is supported by rods (1) and (2). The cross-sectional area of rod (1) is 7 mm2. The cross-sectional area of rod (2) is 18 mm2. For a uniformly distributed load of w = 2.7 kN/m, determine the length a so that the normal stress is the same in each rod. Assume L = 5.65 m.
The d = 16-mm-diameter solid rod passes through a D = 21-mm-diameter hole in the support plate. When a load P is applied to the rod, the rod head rests on the support plate. The support plate has a thickness of b = 10 mm. The rod head has a diameter of a = 32 mm, and the head has a thickness of t = 10 mm. The shear stress in the rod head cannot exceed 140 MPa, the punching shear stress in the support plate cannot exceed 90 MPa, and the bearing stress between the rod head and the support plate cannot exceed 125 MPa. Determine the maximum value of Pmax that can be supported by the structure.
Q2] A bench test that maybe used to test a bone subjected to bending couple (M) induced by a force shawn in figure (a). The distal end of human femur is firmly clamped on the bench test and horizontal force of 500N is applied to the head of femur at point P. 1. Determine the maximum normal and shear stress generated at the section a-a of the femur located vertically at a distance h= 16cm measured from point P. Assume circle section at a-a where r1= 6mm and ro= 13mm. 2. Determine the principal stress at point C, D, σ1, σ2, τx1y1, θp.
A rod of length L having uniform cross-sectional area A is subjected to a tensile force P . If the Young's modulus of the material varies linearly from E(1) to E(2) along the length of the rod, what is the normal stress developed at the section S-S ?
The rod BD is made of material with G1= 124 GPa has a diameter 34 mm is bonded to the tube CA at point B, the tube made of material with G2=211 GPa has an outer diameter 73 mm and wall thickness of 10 mm. If T1=579 N.m and T2=1042 N.m, answer the following questions: The maximum shear stress of the rod BD is The maximum shear stress of the tube CA is The maximum shear stress of the assembly is The angle of twist between D and B is The angle of twist between C and A is The angle of twist at D is Your answer The angle of twist between C and B is Your answer The reaction at point A is