The steel plane truss shown in the figure is loaded by three forces P, each of which is 490 KN. The truss mem- bers each have a cross-sectional area of 3900 mm² and are connected by pins each with a diameter of dp = 18 mm. Members AC and BC each consist of one bar with thickness of AC = TBC = 19 mm. Member AB is composed of two bars [see figure part (b)] each having thickness LAB/2 = 10 mm and length L = 3 m. The roller support at B, is made up of two support plates, each having thickness tsp/2 = 12 mm. (a) Find support reactions at joints A and B and forces in members AB, BC, and AB. (b) Calculate the largest average shear stress T.max in the pin at joint B, disregarding friction between the members: see figures parts (b) and (c) for sectional views of the joint. (c) Calculate the largest average bearing stress 45° max acting against the pin at joint B. C IP = 490 KN P L=3 m by Support plate and pin 45 B 600 By A a a b P Member AB Pin By Fac at 45 Member BC -Support plate B (b) Section a-a at joint B (Elevation view) Member AB (2 bars, each) Pin Support plate (2 plates, cach) Load Pat joint & is applied to the two support plates (c) Section b-bat joint B (Plan view)

The steel plane truss shown in the figure is loaded by three forces P, each of which is 490 KN. The truss mem- bers each have a cross-sectional area of 3900 mm² and are connected by pins each with a diameter of dp = 18 mm. Members AC and BC each consist of one bar with thickness of AC = TBC = 19 mm. Member AB is composed of two bars [see figure part (b)] each having thickness LAB/2 = 10 mm and length L = 3 m. The roller support at B, is made up of two support plates, each having thickness tsp/2 = 12 mm. (a) Find support reactions at joints A and B and forces in members AB, BC, and AB. (b) Calculate the largest average shear stress T.max in the pin at joint B, disregarding friction between the members: see figures parts (b) and (c) for sectional views of the joint. (c) Calculate the largest average bearing stress 45° max acting against the pin at joint B. C IP = 490 KN P L=3 m by Support plate and pin 45 B 600 By A a a b P Member AB Pin By Fac at 45 Member BC -Support plate B (b) Section a-a at joint B (Elevation view) Member AB (2 bars, each) Pin Support plate (2 plates, cach) Load Pat joint & is applied to the two support plates (c) Section b-bat joint B (Plan view)

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 1.10.5P: A plane truss has joint loads P, 2P, and 3P at joints D. C, and B. respectively (see figure) where...

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