The end chord of a timber truss is framed into the bottom chord as shown in the figure (2) compute dimension b if the allowable shear stress is 40 MPa.(b) Determine dimension c so that the bearing stress does not exceed 25 MPaUse the last two digits of your ID Number for the missing force P KN75P =kN30°-150 mm30°ct

Given:- Allowable shear stress (τ) = 40 MPa Allowable bearing stress (σb) = 25 MPa Force (P) = 75…

Answered: The end chord of a timber truss is…

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 1.10.9P: A square steel tube of a length L = 20 ft and width b2= 10.0 in. is hoisted by a crane (see figure)....

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A cylindrical tank subjected to internal pressure/? is simultaneously compressed by an axial force F = 72 kN (see figure). The cylinder has diameter d = 100 mm and wall thickness t = 4 mm. Calculate the maximum allowable internal pressure /?max based upon an allowable shear stress in the wall of the tank of 60 MPa.
A gondola on a ski lift is supported by two bent arms, as shown in the figure. Each arm is offset by the distance b = ISO mm from the line of action of the weight force W. The allowable stresses in the arms are 100 MPa in tension and 50 MPa in shear. If the loaded gondola weighs 12 kN, what is the minimum diameter roof the arms?
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.
A cantilever beam(Z, = 6 ft) with a rectangular cross section (/> = 3.5 in., h = 12 in.) supports an upward load P = 35 kips at its free end. (a) Find the state of stress ((7T, o^., and r in ksi) on a plane-stress element at L/2 that is i/ = 8 in. up from the bottom of the beam. Find the principal normal stresses and maximum shear stress. Show these stresses on sketches of properly oriented elements. (b) Repeat part (a) if an axial compressive centroidal load N = 40 kips is added at B
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.
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A plastic bar of rectangular cross section (ft = 1.5 in. and h = 3 in.) fits snugly between rigid supporls at room temperature (68oF) but with no initial stress (see Figure). When the temperature of the bar is raised to 160oF, the compressive stress on an inclined plane pq at mid-span becomes 1700 psi. (a) What is the shear stress on plane pq? (Assume a = 60 × 10-6/*t and E = 450 × 103psi.) (b) Draw a stress element oriented to plane pq and show the stresses acting on all laces of this element. (c) If the allowable normal stress is 3400 psi and the allowable shear stress is 1650 psi. what is the maximum load P (in the positive x direction), which can be added at the quarter point (in addition to thermal effects given) without exceeding allowable stress values in the bar?
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A palm tree weighing 1000 lb is inclined at an angle of 60º (see figure). The weight of the tree may be resolved into two resultant forces: a force P1= 900 lb acting at a point 12 ft from the base and a force P2= 100 lb acting at the top of the tree, which is 30 ft long. The diameter at the base of the tree is 14 in. Calculate the maximum tensile and compressive stresses et, and ec, respectively, at the base of the tree due to its weight.
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