The maximum compressional stress that a bone can withstand is 1.6 × 108 N/m2 before it breaks. A thighbone (femur), which is the largest and longest bone in the human body, has a cross sectional area of 7.7 × 10−4 m2. What is the maximum compressional force that can be applied to the thighbone? (a) 2.1 × 1011 N, (b) 1.2 × 105 N, (c) 4.8 × 1012 N, (d) 3.0 × 103 N, (e) This cannot be determined since Young’s modulus is not given.

Determine (a) the shear stress in the rivets and (b) the thickness "t" of the steel plate if the allowable bearing stress between the rivets and the plates is 110 MPa. 5-12 mm Ø 50 KN200 mm -50 KN 50 KN # +50 KN

Steel beams are used for load bearing supports in a building. Each beam is 4.0 m long with a cross-sectional area of 8.5 × 103 m² and supports a load of 4.7 x 10“ N. Young's modulus for steel is 210 x 109 N/m2. (a) How much compression (in mm) does each beam adergo along its length? 0.00012 Consider the basic definition for Young's modulus. mm (b) Determine the maximum load (in N) one of these beams can support without any structural failure if the compressive strength of steel is 1.50 x 108 N/m². N. Additional Materials

Assume that Young's Modulus for bone is 1.50 ✕ 1010 N/m2 and that the bone will fracture if more than 1.50 ✕ 108 N/m2 is exerted. (a) What is the maximum force that can be exerted on the femur bone in the leg if it has a minimum effective diameter of 2.30 cm in kN? (b) If a force of this magnitude is applied compressively, by how much does the 24.0 cm long bone shorten in millimeters?

Between each pair of vertebrae in the spinal column is a cylindrical disc of cartilage. Typically, this disc has a radius of about 3.2 x 102 mand a thickness of about 1.2x 10 m. The shear modulus of cartilage is 1.2x 10 N/m2. Suppose a shearing force of magnitude 20 N is applied parallel to the top surface of the disc while the bottom surftace remains fixed in place. How far does the top surface move relative to the bottom surface? Number Units

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A steel cable 3.00 cm2 in cross-sectional area has a mass of 2.40 kg per meter of length. If 500 m of the cable is hung over a vertical cliff, how much does the cable stretch under its own weight? Take Ysteel = 2.00 × 1011 N/m2.

A 50-N force is applied to a metal rod with a length of 10 m and a cross-sectional area of 1.0 x 10^(−5) m^2. Supposing that the shear modulus of the rod is 2.5 x 10^10 N/m^2, what would be the shear distance?

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 It

Suspension cables are used to carry gondolas at ski resorts. Consider a suspension cable that includes an unsupported span of 3 km. Calculate the amount of stretch in the steel cable. Assume that the cable has a diameter of 5.6 cm and the maximum tension it can withstand is 3.0×106N.