2. A square hollow steel strut with a wall thickness, t, = 10 mm is pin connected to two gusset plates, having a thickness t, = 12 mm, which are welded to the base plate having a thickness of 12 mm and fastened to a concrete base by 4 - 16 mm diameter anchor bolts. Diameter of the pin is 16 mm. Compressive load P = 40 KN , 0 = 30°. P sirut a) Calculate the bearing stress between the strut and the pin in MPa. gusset plate i=12 ma b) Calculate the shear stress in the pin in MPa. c) Calculate the shear stress in the anchor 0=30 bolt in MPa. カ2 16 mm 9 anchor bolt 4- 16 mme

2. A square hollow steel strut with a wall thickness, t, = 10 mm is pin connected to two gusset plates, having a thickness t, = 12 mm, which are welded to the base plate having a thickness of 12 mm and fastened to a concrete base by 4 - 16 mm diameter anchor bolts. Diameter of the pin is 16 mm. Compressive load P = 40 KN , 0 = 30°. P sirut a) Calculate the bearing stress between the strut and the pin in MPa. gusset plate i=12 ma b) Calculate the shear stress in the pin in MPa. c) Calculate the shear stress in the anchor 0=30 bolt in MPa. カ2 16 mm 9 anchor bolt 4- 16 mme

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 1.10.11P: A pressurized circular cylinder has a sealed cover plate fastened with steel bolts (see figure). The...

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A plane truss has joint loads P, 2P, and 3P at joints D. C, and B. respectively (see figure) where load variable P — 5200 lb. All members have two end plates (see figure For Prob. 1.8-2) that are pin-connected to gusset plates. Each end plate has a thickness/ — 0.6.2.5 in., and all gusset plates have a thickness tg= 1.125 in. IT the allowable shear stress in each pin is 12,000 psi and the allowable bearing stress in each pin is 18.000 psi, what is the minimum required diameter dminof the pins used at either end of member BE1
Continuous cable A DB runs over a small friction less pulley al D to support beam OABC, which is part of an entrance canopy for a building (see figure}. The canopy segment has a weight W = 1700 lb that acts as a concentrated load in the middle of segment AB. (a) What is the maximum permissible value of load P at C if the allowable force in the cable is 4200 lb? (b) If P = 2300 lb, what is the required diameter of pins A, B, and D? Assume that the pins are in double shear and the allowable shear stress in the pins is 10 ksi.
A pressurized circular cylinder has a sealed cover plate fastened with steel bolts (see figure). The pressure P of the gas in the cylinder is290psi, the inside diameter D of the cylinder is 10.0 in., and the diameter dBof the bolts is 0.50 in. I f the allowable tensile stress in the bolts is 10,000 psi, find the number n of bolts needed to fasten the cover.
Solve Problem 11.3-3 for a W 10 × 45 steel column having a length L = 28 ft.
A spherical balloon is filled with a gas. The outer diameter of the balloon is 20 in. and the thickness is 0,012 in. Calculate the maximum permissible pressure in the balloon if the allowable tensile stress and the allowable shear stress in the balloon are 1 ksi and 0.3 ksi, respectively.
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 hollow, circular, cast-iron pipe (Ec =12,000 ksi) supports a brass rod (Ec= 14,000 ksi} and weight W — 2 kips, as shown. The outside diameter of the pipe is dc= 6 in. (a) If the allowable compressive stress in the pipe is S00O psi and the allowable shortening of the pipe is 0.02 in., what is the minimum required wall thickness trmm? (Include the weights of the rod and steel cap in your calculations.) (b) What is the elongation of the brass rod Srdue to both load Wand its own weight? (c) What is the minimum required clearance h?
A lifeboat hangs from two ship's davits. as shown in the figure. A pin of diameter d = 0.80 in. passes through each davit and supports two pulleys. are on each side of the davit. Cables attached to the lifeboat pass over the pulleys and wind around winches that raise and lower the lifeboat. The lower parts of the cables are vertical and the upper parts make an angle a =15° with the horizontal. The allowable tensile force in each cable is 1800 lb, and the allowable shear stress in the pins is 4000 psi. If the lifeboat weighs 1500 lb, what is the maximum weight that can be carried in the lifeboat?
Continuous cable ADB runs over a small friction less pulley at D to support beam OABC, which is pan of an entrance canopy for a building (see figure). A downward distributed load with peak intensity q0= 5 kNVm al O acts on the beam (see figure). Assume that canopy weight W = S kN and that the cable cross-sectional area is 100 mm". What is the required diameter of pins A, B. and D if the pins are in double shear and the allowable shear stress is SO MPa? Note that dimensions OA = AB = BC = 1.5 m.
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 75 lb/ft" against the full area of the sign. The dimensions of the poles and sign are hx= 20 ft, /r =5 ft, and h = 10 ft. To prevent buckling of the walls of the poles, the thickness e 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 7500 psi in the aluminum. (b) Determine the minimum required diameter based upon an allowable shear stress of 300 psi.
Repeat Problem 11.2-3 assuming that R= 10 kN · m/rad and L = 2 m.
A tension member is to be constructed of two pieces or plastic glued along plane pq (see figure). For purposes of cutting and gluing, the angle ?? must be between 25 and 45. The allowable stresses on the glued joint in tension and shear are 5.0 MPa and 3.0 MPa, respectively (a) Determine the angle it so that the bar will carry the largest load P. (Assume that the strength of the slued joint controls the design.) (b) Determine the maximum allowable load ?? if the cross-sectional area of the bar is 225