The rigid beam BC shown in the figure is supported by rods (1) and (2) that have cross-sectional areas of 175 mm² and 300 mm², respectively. For a uniformly distributed load of w = 16 kN/m, determine the normal stress in each rod. Assume L = 2.8 m and a = 1.7 m. The stresses are positive if tensile and negative if compressive.

The rigid beam BC shown in the figure is supported by rods (1) and (2) that have cross-sectional areas of 175 mm² and 300 mm², respectively. For a uniformly distributed load of w = 16 kN/m, determine the normal stress in each rod. Assume L = 2.8 m and a = 1.7 m. The stresses are positive if tensile and negative if compressive.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.10.6P: Cable DB supports canopy beam OABC as shown in the figure. Find the required cross-sectional area of...

See similar textbooks

Similar questions

A post having a hollow, circular cross section supports a P = 3.2 kN load acting at the end of an arm that is h = 1.5 m long (see figure). The height of the post is L = 9 m, and its section modulus isS = 2.65 x 10 mmJ. Assume that the outer radius of the post is r2= 123 mm, and the inner radius is r}=117 mm. (a) Calculate the maximum tensile stress and \ maximum in-plane shear stress Tm:ls at point A on the outer surface of the post along the x axis due to the load P. Load P acts at B along line BC. (b) If the maximum tensile stress and maximum in-plane shear stress at point A arc limited to 90 MPa and 38 MPa, respectively, what is the largest permissible value of the load PI
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.
A simply supported wood beam is subjected to point load P at mid-span. The normal stress on element C is known to be sx= 12 MPa. Find the maximum shear stress on the element and show the state of stress on a sketch of a properly oriented element.
Cable DB supports canopy beam OABC as shown in the figure. Find the required cross-sectional area of cable BD if the allowable normal stress is 125 MPa. Determine the required diameter of the pins at 0, B, and D if the allowable stress in shear is 80 MPa. Assume that canopy beam weight is w = 8 kN. note The pins at 0, A, D and D are in double shear. Consider only the weight of the canopy; disregard the weight of cable DB.
]11.6-2 A brass bar (E = 100 GPa) with a square cross section is subjected to axial forces having a resultant P acting at distance e from the center (sec figure). The bar is pin supported at the ends and is 0.6 m in length. The side dimension b of the bar is 30 mm and the eccentricity e of the load is 10 mm. If the allowable stress in the brass is 150 MPa, what is the allowable axial force Pallow.
A post AB supporting equipment in a laboratory is tapered uniformly throughout its height H (see figure). The cross sections of the post are square, with dimensions b × b at the top and 1.5b × 1.5b at the base. Derive a formula For the shortening 8 of the post due to the compressive load P acting at the top. (Assume that the angle of taper is small and disregard the weight of the post itself.)
Continuous cable ADS runs over a small Frictionless pulley at D to support beam OABC that is part of an entrance canopy Tor a building (see figure}. Assume that the canopy segment has a weight it' = 1700 lb. (a) Find the required cross-sectional area of cable ADB if the allowable stress is 18 ksi. (b) Determine the required diameter of the pins at O. A, R and D if the allowable stress in shear is 12 ksi.
A circular aluminum tube with pinned ends supports a load P = 18 kN acting at a distance e = 50 mm from the center (see figure). The length of the tube is 3.5 m, and its modulus of elasticity is 73 GPa. If the maximum permissible stress in the tube is 20 MPa, what is the required outer diameter d2if the ratio of diameters is to be d1/ d2= 0.9?
A steel bracket of solid circular cross section is subjected to two loads, each of which is P = 4.5 kN at D (see figure). Let the dimension variable be b = 240 mm. Find the minimum permissible diameter dmaxof the bracket if the allowable normal stress is 110 M Pa. Repeat part (a), including the weight of the bracket. The weight density of steel is 77.0 kN/m3.
A single steel strut AB with a diameter (a) Find the strut force Fs and average normal stress ds= 8 mm supports the vehicle engine hood of a in the strut. mass 20 kg that pivots about hinges at C and D (see (b) Find the average shear stress t aver in the bolt at A,figure parts a and b). The strut is bent into a loop at (C) Find the average bearing stress bon the bolt at A. its end and then attached to a bolt at A with a diameter db= 10 mm. Strut AB lies in a vertical plane.
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?
A tie-down on the deck of a sailboat consists of a bent bar boiled at both ends, as shown in the figure. The diameter dBof the bar is 1/4 in., the diameter D Wof the washers is 7/8 in., and the thickness is of the fiberglass deck is 3/8 in. If the allowable shear stress in the fiberglass is 300 psi, and the allowable bearing pressure between the washer and the fiberglass is 550 psi, what is the allowable load P allowon the tie-down?