1-55: In the structure shown, an 8 mm diameter pin is used at A, and 12-mm- diameter pins are used at B and D. Knowing that the ultimate shearing stress is 100 MPa at all connections and that the ultimate normal stress is 250 MPa in each of the two links joining B and D, determine the allowable load P if an overall factor of safety of 3.0 is desired. Top view -200 mm -180 mm 12 mm 8 mm C + 20 mm 8 mm 8 mm DO D 12 mm Front view Side view

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Two metal bars are fastened together at the bolted flange connection shown. There are 2 total bolts connecting the two metal bars together and each bolt has diameter dbolt 12.7 mm. The flange is oriented at angle = 50° with respect to longitudinal axis of the metal bars. If an axial force F = 30 kN is applied as shown, determine the overall safety factor of the bolted connection. You may assume the bolts are made out of 1020HR steel and the strength of the bolt in shear is 50% of the tensile strength of the bolt material. F - SF overall = 0 number (rtol=0.01, at F ?

4) The composite shaft consists of a solid brass segment (1) and a solid aluminum segment (2) that are connected at flange B and securely attached to rigid walls at A and C. Brass segment (1) has a diameter of 18 mm, a length of L₁ = 235 mm, and a shear modulus of 39 GPa. Aluminum segment (2) has a diameter of 24 mm, a length of L₂ = 165 mm, and a shear modulus of 28 GPa. If a concentrated torque of 270 Nm is applied to flange B, determine (a) the maximum shear stress magnitudes in segments (1) and (2). (b) the rotation angle of flange B relative to support A. N y A 235 mm (1) B 165 mm 270 N-m (2) C x

number 11

Part A -80 mm- P 75 mm -40 mm 30 mm If the bolt head and the supporting bracket are made of the same material having a failure shear stress of Tfail = 150 MPa, determine the maximum allowable force P that can be applied to the bolt so that it does not pull through the support. Apply a factor of safety of F.S. = 2.5 against shear failure. Express your answer to three significant figures and include the appropriate units.

FBD 3. Determine the required thickness of member BC and the diameter of the pins at A and B if the failure normal stress for member BC is Ofail = 30 ksi, and the failure shear stress for the pins is Tfail = 12 ksi. Use a safety factor of 1.2 to your design. Solution: 1.5 in. 60° 8 ft 5 kip/ft

An axial load is applied to the rectangular cross section bar which is welded at the 57 degree angle shown. If the weld material has a failure normal stress of 160 mPa and a failure shear stress of 90 mPa, determine the required thickness if a factor of safety of 2.3 is required. Also determine the required diameter of the bolts(to the nearest mm) if the plate is face bolted to the supports. The bolt material has a failure shear stress of 175 mPa.