What is the maximum diameter of hole that can be punched

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Reference no: EM131123485

1. The angular orientation, θ, of a "rigid" mirror is controlled by the lengths of rods (1) and (2), as shown in Fig. P2.3-17. At the reference temperature, the rods are the same length: L1 = L2 = 2.00 m. The distance between the rods is a = 1.2 m.

(a) If the thermal coefficient of the rods is α1 = α2 = 14 x 10^-6/⁰c, determine an expression for the angle θ (in radians) as a function of ΔT1 and ΔT2.

(b) If the maximum temperature difference that can be achieved between the temperature changes ΔT1 and ΔT2 of the rods is 30°C, what is the maximum mirror rotation angle that can be achieved? (Assume that the rods are uniformly heated or cooled along their lengths.)

2. A tension specimen (diameter = do = 0.500 in., gage length = Lo = 2.0 in.) was used to obtain the load-elongation data given in Table.

TABLE. Tension-test Data

P (kips)	AL (in.)	P (kips)	AL (in.)
0.0	0.000	12.5	0.060
5.2	0.005	12.7	0.070
9.4	0.009	12.9	0.080
9.7	0.010	13.0	0.090
10.0	0.013	13.1	0.100
10.6	0.020	13.2	0.110
11.3	0.030	13.2	0.120
11.8	0.040	13.0	0.130
12.2	0.050	12.6	0.138

(a) Plot a curve of engineering stress, σ, versus engineering strain, ε, using the given data.

(b) Determine the modulus of elasticity of this material.

(d) Determine the tensile ultimate stress, σ_TU

3. A rectangular aluminum bar (wo = 2.0 in., to = 0.5 in.) is subjected to a tensile load P by pins at A and B (Fig. P2.6-9), Strain gages (which are described in Section 8.10) measure the following strains in the longitudinal (x) and transverse (y) directions: ε_x= 566μ, and ε_y = -187μ.

(a) What is the value of Poisson's ratio for this specimen?

(b) If the load P that produces these values of ε_x and ε_y is P = 6 kips, what is the modulus of elasticity, E, for this specimen?

4. Two bolts are used to form a joint connecting rectangular bars in tension, as shown in Fig. P2.7-1. If the bolts have a diameter of 3/8 in., and the load is P = 20 kips, determine the average shear stress on the bolt surfaces that are subjected to direct shear.

5. A 100-kip capacity hydraulic punch press is used to punch circular holes in a 3/8-in.-thick aluminum plate, as illustrated in Fig. P2.7-4. If the average punching shear resistance of this plate is 30 ksi, what is the maximum diameter of hole that can be punched?

6. An angle bracket ABC is restrained by a high-strength steel wire CD, and it supports a load P at A, as shown inFig. P2.7-8. The diameter of the wire CD is dw - 1/8 = in., and the diameter of the in at B is dp = 1/8 in. Determine, the tensile stress in wire CD and the average direct shear stress in the pin at B.

Reference no: EM131123485

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