Normal Stress The joint is subjected to the axial member force of 6 kip. Determine the average normal stress acting on sections AB and BC . Assume the member is smooth and is 1.5-in. thick.
If the turnbuckle is subjected to an axial force of P = 900 lb, determine the average normal stress developed in section a –a and in each of the bolt shanks at B and C. Each bolt shank has a diameter of 0 .5 in.
Shear Stress
During the tension test, the wooden specimen is subjected to an average normal stress of 2 ksi. Determine the axial force P applied to the specimen. Also, find the average shear stress developed along section a– a of the specimen.
The beam is supported by a pin at A and a short link BC . If P = 15 kN, determine the average shear stress developed in the pins at A, B, and C . All pins are in double shear as shown, and each has a diameter of 18 mm.
Normal Strain The triangular plate is fixed at its base, and its apex A is given a horizontal displacement of 5 mm. Determine the average normal strain ϵx along the x axis.
The square plate is deformed into the shape shown by the dashed lines. If DC has a normal strain Px = 0.004 ,DA has a normal strain Py = 0.005 and at D, gxy = 0.02 rad, determine the average normal strain along diagonal CA.
Bearing Stress If the shaft is subjected to an axial force of 5 kN, determine the bearing stress acting on the collar A.
Determine the average punching shear stress the circular shaft creates in the metal plate through section AC and BD. Also, what is the bearing stress developed on the surface of the plate under the shaft?
Shear Strain
The triangular plate is fixed at its base, and its apex A is given a horizontal displacement of 5 mm. Determine the shear strain, γxy, at A.
The piece of plastic is originally rectangular. Determine the shear strain γxy at corners A and B if the plastic distorts as shown by the dashed lines.
Stress-Strain Curve Data taken from a stress –strain test for a ceramic are given in the table. The curve is linear between the origin and the first point. Plot the diagram.
The stress –strain diagram for a steel alloy having an original diameter of 0.5 in. and a gauge length of 2 in. is given in the figure. Determine approximately the modulus of resilience and the modulus of toughness for the material.
Inclined Plane To the nearest in., determine the required thickness of member BC and the diameter of the pins at A and B if the allowable normal stress for member BC is σallow = 29 ksi and the allowable shear stress for the pins is σ allow = 10 ksi.
The bar has a cross-sectional area A and is subjected to the axial load P. Determine the average normal and average shear stresses acting over the shaded section, which is oriented at ϴ from the horizontal. Plot the variation of these stresses as a function of ϴ (0≤ϴ≤90°).
Poisson’s Ratio
The thin-walled tube is subjected to an axial force of 40 kN. If the tube elongates 3 mm and its circumference decreases 0.09 mm, determine the modulus of elasticity, Poisson’s ratio, and the shear modulus of the tube’s material. The material behaves elastically.
500-mm-long, 16-mm-diameter rod made of a homogenous, isotropic material is observed to increase in length by 300 mm, and to decrease in diameter by 2.4 mm when subjected to an axial 12-kN load. Determine the modulus of elasticity and Poisson’s ratio of the material.
