A control rod made of yellow brass must not stretch more than 3 mm when the tension in the wire is 4 kN. Knowing that E 105 GPa and that the maximum allowable normal stress is 180 MPa, determine (a) the smallest diameter rod that should be used, (b) the corresponding maximum length of the rod.
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- A stainless-steel orthodontic wire is applied to a tooth. The wire has an unstretched length of 3.62 cm and a radius of 0.13 mm. If the wire is stretched 0.13 mm, find the magnitude and direction of the force on the tooth. Disregard the width of the tooth and assume Young's modulus for stainless steel is 18 ✕ 1010 Pa. magnitude N direction ---Select--- toward the top of the page toward the bottom of the page toward the left toward the right into the page out of the page none of theseFind the forces produced in Bars 1, 2, and 3 of the truss shown due to the action of a ball of weight W = 1000 lb, resting at the hinge D and supported by a cable EF as shown. The cable EF is parallel to AC. A -10-4-10² 2 3 B 0101010² 30²Two solid bars support a load P as shown. Bar (1) has a cross-sectional area of A₁ = 2150 mm² and an allowable normal stress of 75 MPa. Bar (2) has a cross-sectional area of A₂ = 2750 mm² and an allowable normal stress of 170 MPa. Assume x₁ = 2.1 m, x₂ = 3.8 m, y₁ = 1.0 m, and y₂ = 3.5 m. Determine the maximum load Pmax that can be supported by the structure without exceeding either allowable normal stress. Answer: Pmax= (1) i B P (2) KN 3/₂
- The total cross-sectional area of the load-bearing calcified portion of the two forearm bones (radius and ulna) is approximately 2.0 cm2. During a car crash, the forearm is slammed against the dashboard. The arm comes to rest from an initial speed of 80 km/h in 4.5 ms. If the aum has an effective mass of 3.0 kg, what is the compressional stress that the arm withstands during the crash? Pa Need Help? Read ItA particular human hair has a Young's modulus of 3.51 x 10° N/m² and a diameter of 152 µm. If a 209 g object is suspended by the single strand of hair that is originally 19.5 cm long, by how much AL hair will the hair stretch? If the same object were hung from an aluminum wire of the same dimensions as the hair, by how much ALAI would the aluminum stretch? If the strand of hair is modeled as a spring, what is its spring constant khair? AL hair ALAI = Khair 11 6.82 x10-3 Incorrect 3.66 X10-4 Incorrect 372.6 Incorrect m m N/mOne model of the length LACL of a person's anterior cruciate ligament, or ACL, relates it to the person's height h with the linear function LACL = 0.04606h – (41.29 mm) This relationship does not change significantly with age, gender, or weight. If a basketball player has a height of 2.13 m, approximately how long is his ACL? LACL mm If a stress of 1.05 × 10' N/m2 is applied to his ligament, how much will it stretch? The Young's modulus for the ACL is 1.10 x 108 N/m². change in LACL: mm
- · What is the magnitude of the maximum stress that exists at the tip of an internal crack having a radius of curvature of 1.9 × 104 mm and a crack length of 3.8 × 10-2 mm when a tensile stress of 140 MPa is applied?The radius of a copper bar is 4 mm. What force is required to stretch the rod by 20% of its length assuming that the elastic limit is not exceeded? Y = 12 × 1010 N/m².For a bronze alloy, the stress at which plastic deformation begins is 295 MPa and the modulus of elasticity (E) is 108 GPa. (a) What is the maximum load (Fy) that can be applied to a specimen having a cross-sectional area of 317 mm² without plastic deformation? (b) If the original specimen length is 121 mm, what is the maximum length to which it may be stretched without causing plastic deformation?
- The leg bone (femur) breaks under a compressive force of about 7.90 × 104 N for a human and 11.3 × 104 N for a horse. The human femur has a compressive strength of 160 MPa, whereas the horse femur has a compressive strength of 140 MPa. What is the effective cross-sectional area of the femur in a horse? (Note: Since the center of the femur contains bone marrow, which has essentially no compressive strength, the effective cross-sectional area is about 80% of the total cross-sectional area.)A 480 mm long thighbone (femur), which is the largest and longest bone in the human body, has a cross sectional area of 7.7 × 10–4 m2. A safety factor of 4 applies and the maximum compressional stress that a bone can withstand is 1.6 × 108 N/m2 before it breaks. Young’s Modulus (E ) of a bone at room temperature is 15 × 109 Pa. How much will it compress to support a weight of 1.2 × 105 N?Member BC has a square cross section. The diameter of the pins at A and B are 3 cm and 2 cm respectively. If the allowable normal stress for member BC is allow = 25 MPa and the allowable shear stress for the pins iS Tallow = 12 MPa, calculate the maximum force intensity w (in N/m). 4 cm В 50° 3 m A W