Rigid bar ABCD is loaded and supported as shown. Steel [E=28500 ksi] bars (1) and (2) are unstressed before the load P is applied. Bar (1) has a cross-sectional area of 0.72 in.2 and bar (2) has a cross-sectional area of 0.43 in.2. After load P is applied, the strain in bar (1) is found to be 630 με. Assume L1-63 in., L₂-84 in., a-28 in., b-22 in., and c-39 in. Determine: (a) the stresses in bars (1) and (2). (b) the vertical deflection vp of point D on the rigid bar. (c) the load P. A Answers: L₁ a (1) L2 B b (2) C D C (a) σ₁ = (b) VD = i (c) P = i i in. ksi, σ₂ = i kips. P ksi. A pin-connected structure is supported and loaded as shown. Member ABCD is rigid and is horizontal before the load P is applied. Bars (1) and (2) are both made from steel [E = 30,000 ksi] and both have a cross-sectional area of 1.25 in.2. If the normal stress in bar (1) must be limited to 17 ksi, determine the maximum load P that may be applied to the rigid bar. 80 in. B (1) 120 in. (2) C D 54 in. 54 in. 24 in. 43.4 kips 40.8 kips 38.3 kips 31.9 kips ○ 29.8 kips

The data in Table 1.5.3 were obtained from a tensile test of a metal specimen with a rectangular cross section of 0.2011in.2 in area and a gage length (the length over which the elongation is measured) of 2.000 inches. The specimen was not loaded to failure. a. Generate a table of stress and strain values. b. Plot these values and draw a best-fit line to obtain a stress-strain curve. c. Determine the modulus of elasticity from the slope of the linear portion of the curve. d. Estimate the value of the proportional limit. e. Use the 0.2 offset method to determine the yield stress.

The results of a tensile test are shown in Table 1.5.2. The test was performed on a metal specimen with a circular cross section. The diameter was 3 8 inch and the gage length (The length over which the elongation is measured) was 2 inches. a. Use the data in Table 1.5.2 to produce a table of stress and strain values. b. Plot the stress-strain data and draw a best-fit curve. c. Compute the, modulus of elasticity from the initial slope of the curve. d. Estimate the yield stress.

Estimate the elastic and plastic strain at the ultimate tensile strength in the low-carbon steel specimen in Figure 6.16.