Part B - Normal strain, cross-sectional area, load, and Poisson's ratio Four axially loaded members are shown below. All members have the same value for E (Young's modulus). Rank the members from largest to smallest absolute value of the average normal strain perpendicular to the applied load at cross section a-a shown in the figure.

The stresses shown act at a point in a stressed body. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are S, = 20 MPa, S, = 24 MPa, and Sy = 29 MPa. Assume ß = tan = 21.8°, a = 5, and b = 2. Using the equilibrium equation approach, determine the normal and shear stresses o (positive if tensile, negative if compressive) and z (magnitude only) at this point on the inclined plane shown. Answers: i MPa, T = i MPа.

2. An Aluminum-alloy block is loaded as shown in the figure. The application of this load produces a tensile strain of 500 x 10 at gage A. Calculate the magnitude of the applied load P. Let E = 100GPa 400mm 120 Gage A P 20mm

Find the interal normal stress in all relevant segments of the bar in the picture.

For the bar in the way the loading status is seen determine the strain energy on the rod so that the shear stress on the rod is maximum 120 MPa.( Part of BC is hollow)

The two bars shown in the figure are used to support a load P. When unloaded, joint B has coordinates (0, 0). After load P is applied, joint B moves to the coordinate position (0.20 in., -0.55 in.). Assume a = 9 ft, b = 6 ft, and h = 7 ft. Determine the normal strain in each bar. B P b h

Determine the normal strain AB and BC

Consider the pre-deformation cross-section of a bar, a side view of which is shown in the figure below. h ΫΠ' ΑΣΦ D The diameter of the bar is d = 230 mm. A bending moment is applied that causes the neutral axis to become concave up. What is the normal strain h = 40 mm from the bottom of the bar if the radius of curvature is measured to be p = 6.7 m? Express your answer to three significant figures. ► View Available Hint(s) Ax ↓↑ vec t O ? mm/mm

Try One scene 7 of 7 The bar has a 90 mm by 20 mm rectangular cross section. If P = 80 kN, determine the force components perpendicular (N) and parallel (V) to a – a, the inclined surface area, and the normal and shear stress magnitudes acting on surface a – a. 90 mm 62° a N kN kN Aa-a mm2 P = 80 kN MPa MPа Try one 1st 2nd 3rd Enter attempt

The stresses shown act at a point in a stressed body.  The stress magnitudes are Sx = 50 MPa and Sy = 250 MPa, acting in the directions indicated in the figure.  Using the equilibrium equation approach, determine the normal and shear stresses at this point on the inclined plane shown.  Assume β = 46°.