A simple pin-connected truss is loaded and supported as shown. The truss is constructed from three aluminum members, each having a cross-sectional area of A = 1120 mm2. Assume a = 1.2 m, b = 7.9 m, and c = 2.9 m. If P= 40 kN and Q = 75 kN, determine the normal stress in each member. В A

A simple pin-connected truss is loaded and supported as shown. The truss is constructed from three aluminum members, each having a cross-sectional area of A = 1120 mm2. Assume a = 1.2 m, b = 7.9 m, and c = 2.9 m. If P= 40 kN and Q = 75 kN, determine the normal stress in each member. В A

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 1.4.10P: A long re Lai nine: wall is braced by wood shores set at an angle of 30° and supported by concrete...

See similar textbooks

Similar questions

A long re Lai nine: wall is braced by wood shores set at an angle of 30° and supported by concrete thrust blocks, as shown in the first part of the figure. The shores are evenly spaced at 3 m apart. For analysis purposes, the wall and shores are idealized as shown in the second part of the figure. Note that the base of the wall and both ends of the shores are assumed to be pinned. The pressure of the soil against the wall is assumed to be triangularly distributed, and the resultant force acting on a 3-meter length of the walls is F = 190 kN. If each shore has a 150 mm X 150 mm square cross section, what is the compressive stress
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?
The homogeneous bar ABCD shown in figure below is supported by acable that runs from A to B around the smooth peg at E, a vertical cableat C, and a smooth inclined surface at D. Determine the mass of theheaviest bar that can be supported if the stress in each cable is limitedto 100 MPa. The area of the cable AB is 250 mm2 and that of the cableat C is 300 mm2.
Three steel plates, each 16 mm thick and width of 300 mm are joined by two 20 mm rivets as shown. Assume the rivet hole diameter = 23 mm. A. If the load P= 50 KN, determine the tensile stress of the plates. B. If the load P= 50 KN, determine the largest bearing stress acting on the rivets. C. If the ultimate shear stress for the rivets is 180 MPa, what ultimate force Pu is required to cause the rivets to fail in shear? Neglect friction between the plates.
Two solid bars support a load P as shown. Bar (1) has a cross-sectional area of A1 = 2850 mm2 and an allowable normal stress of 105 MPa. Bar (2) has a cross-sectional area of A2 = 3950 mm2 and an allowable normal stress of 160 MPa. Assume x1 = 1.9 m, x2 = 2.7 m, y1 = 1.5 m, and y2 = 2.6 m. Determine the maximum load Pmax that can be supported by the structure without exceeding either allowable normal stress.
Calculate the smallest area of each cable if the stress is not to exceed 76 000 KPa in bronze and 118 MPa in steel if a homogeneous 778 000 g bar AB is supported at either end by a cable.
The given plate below with width of 200 mm andthickness of 16 mm is to be connected to two plates ofthe same width with half the thickness by 20 mmdiameter rivets as shown. The rivet hole is 2 mm greaterthan the rivet diameter. Allowable tensile stress on netarea is 0.6Fy. Allowable bearing stress is 1.35Fy. plate: fy = 241 mpa fu = 4141 mpa rivet: fv = 152 mpa Determine maximum load P for block shear
A sign for an automobile service station is supported by two aluminum poles of hollow circular cross section, as shown in the figure. The poles are being designed to resist a wind pressure of 70 lb/ft^2 against the full area of the sign. The dimensions of the poles and sign are h1 = 16 ft, h2 = 7 ft, and b = 13 ft. To prevent buckling of the walls of the poles, the thickness t is specified as one tenth the outside diameter d. (a) Determine the minimum required diameter of the poles based upon an allowable bending stress of 7100 psi in the aluminum. Round your answer to two decimal places. d = ___ in. (b) Determine the minimum required diameter based upon an allowable shear stress of 2100 psi. Round your answer to two decimal places. d = ___ in.
Two solid bars support a load P as shown. Bar (1) has a cross-sectional area of A1 = 4850 mm2 and an allowable normal stress of 150 MPa. Bar (2) has a cross-sectional area of A2 = 4750 mm2 and an allowable normal stress of 140 MPa. Assume x1 = 2.2 m, x2 = 3.4 m, y1 = 1.1 m, and y2 = 2.7 m. Determine the maximum load Pmax that can be supported by the structure without exceeding either allowable normal stress.Answer: Pmax = Enter your answer in accordance to the question statement kN
A steam boiler is to have a 300 mm diameter hand placed hole on one end. If themaximum internal pressure is 1.3 MPa, how many 15 mm holes will be required to keepthe cover plate in position? The root diameter of a 15 mm bolt is 12 mm. The allowabletensile stress in the bolts is 100 MPa and the initial stress in the bolts when they aretightened is 600 MPa.
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
A retaining wall 6 ft high is constructed ofhorizontal wood planks 2.5 in. thick (actual dimension)that are supported by vertical wood piles of a12 in. diameter (actual dimension), as shown in thefigure. The lateral earth pressure is p1 125 lb/ft2at the top of the wall and p2 =425 lb/ft2 at the bottom.(a) Assuming that the allowable stress in the woodis 1175 psi, calculate the maximum permissiblespacing s of the piles.(b) Find the required diameter of the wood pilesso that piles and planks (t = 2.5 in.) reach theallowable stress at the same time.Hint: Observe that the spacing of the piles may begoverned by the load-carrying capacity of either theplanks or the piles. Consider the piles to act as cantileverbeams subjected to a trapezoidal distribution ofload, and consider the planks to act as simple beams between the piles. To be on the safe side, assume thatthe pressure on the bottom plank is uniform andequal to the maximum pressure.