Ejercicios tutoria1 2017
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This document contains 4 exercises involving calculations of forces, stresses, and strains in structural members: 1. Determine the compressive force in an inclined timber truss member based on the shearing stress in the bottom chord. 2. Calculate the axial strains in rods supporting a rigid steel plate under a load, with and without a clearance in the connections. 3. Find the number of bolts needed to fasten a pressurized cylinder's cover plate based on the cylinder's dimensions, pressure, and bolt stress limit. 4. Determine the pin diameter and maximum load for a rectangular bar with a hole subjected to tension, based on stress limits in the bar and pin.
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Ejercicios tutoria1 2017
- 1. Ejercicio 1: (2.15) The inclined member AB of a timber truss is framed into a 4 x 6 -in. bottom chord, as shown in figure. Determine the axial compressive force in member AB when de average shearing stress parallel to the grain at the end of the bottom chord is 225 psi. Ejercicio 2: (3.9) A rigid steel plate A is supported by three rods as shown in Figure. There is no strain in the rods before the load P is applied. After load P is applied, the axial strain in the rod DE is 800 µin/in. Determine: a. The axial strain in rods BC b. The axial strain in rods BC if there is a 0.006-in clearance in the connections between plate A and rod BC before the load is applied.
- 2. Ejercicio 3: A pressurized circular cylinder has a sealed cover plate fastened with steel bolts (see figure). The pressure p of the gas in the cylinder is 290 psi, the inside diameter D of the cylinder is 10.0 in., and the diameter dB of the bolts is 0.50 in. If the allowable tensile stress in the bolts is 10,000 psi, find the number n of bolts needed to fasten the cover. Ejercicio 4: A bar of rectangular cross section is subjected to an axial load P (see figure). The bar has width b _ 2.0 in. and thickness t _ 0.25 in. A hole of diameter d is drilled through the bar to provide for a pin support. The allowable tensile stress on the net cross section of the bar is 20 ksi, and the allowable shear stress in the pin is 11.5 ksi. (a) Determine the pin diameter dm for which the load P will be a maximum. (b) Determine the corresponding value Pmax of the load.