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As the price of butter rises, dairy farmers’ supply of cheese increases. This observation suggests that butter and cheese are ____.

Determine the maximum deflection of the beam. Let M = 11,100 lb·in., a = 114 in. and EI = 200 × 106 lb·in.2.

Determine the reaction moment at A. Let P = 106 lb, a = 48 in., and EI = 237 × 106 lb·in.2.

Determine the deflection at B. Let P = 130 lb, a = 60 in., b = 36 in., and EI = 110 × 106 lb·in.2.

Determine the reaction force at B. Let w = 19 lb/in., a = 68 in., and EI = 232 × 106 lb·in.2.

At a point on the free surface of an aluminum component [E = 68 MPa,ν = 0.3], a strain rosette was used to obtain normal strains of εa = 142 με, εb = –495 με, and εc = 495 με. Determine normal strain εx at the point.

Determine the magnitude of the slope at A. Let M = 13,500 lb·in., a = 144 in. and EI = 116 × 106 lb·in.2.

Determine the reaction moment at A. Let P = 116 lb, a = 64 in., and EI = 204 × 106 lb·in.2.

Determine the deflection at C. Let w = 16 lb/in., a = 85 in., b = 27 in., and EI = 83 × 106 lb·in.2.

Determine the reaction force at B. Let w = 17 lb/in., a = 67 in., and EI = 271 × 106 lb·in.2.