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Axial loads are applied with rigid bearing plates to the solid cylindrical rods. One load of P = 90 kN is applied to the assembly at A, two loads Q = 50 kN are applied at B, and two loads R = 140 kN are applied at C. Determine the total change in length of the assembly.L1 = 0.26 m, E1 = 192 GPa, A1 = 0.0012 m2L2 = 0.40 m, E2 = 212 GPa, A2 = 0.0004 m2L3 = 0.34 m, E3 = 104 GPa, A3 = 0.0016 m2

A 3D printed polymer rod measures 126.00 mm in length while on the heated print bed at 54.5°C. After cooling to room temperature at 20.0°C the rod measures 125.73 mm in length. Determine the coefficient of thermal expansion of the polymer.

Stella’s Bakery calculated their net income to be $215,000 before any adjusting journal entries were recorded.  What amount of net income will Stella’s Bakery report after adjusting journal entries are recorded for the following transactions: Depreciated $13,000 for equipment Incurred $37,000 of operating expenses that were not yet paid for.

A 3D printed polymer rod measures 124.00 mm in length while on the heated print bed at 51.6°C. After cooling to room temperature at 21.3°C the rod measures 123.66 mm in length. Determine the coefficient of thermal expansion of the polymer.

A load of P = 470 lb is applied to beam ABC. Determine the normal force in bar (1). Let a = 31 in., b = 15 in., and c = 9 in.

A load of P = 475 lb is applied to beam ABC. Bar (1) is made of aluminum [E = 10,000 ksi] and has a square cross section with a width of 1.15 in. Determine the magnitude of the change in length of bar (1) due to the load. Let a = 28 in., b = 14 in., and c = 8 in.

A load of P = 485 lb is applied to beam ABC. Determine the normal force in bar (1). Let a = 31 in., b = 15 in., and c = 8 in.

S&O Industries incurred utility expenses in December 2024 and paid the invoice in January of 2025.  No entry was made in December and when their accountant paid the invoice in January 2025, they recorded the following entry: Utility Expense     $500         Cash                                     $500 Which of the following statements is true regarding the impact of this transaction on the 2024 financial statements:

What is the exact location along the x-axis (measured from the origin) that you should place this third charge such that the net force on that charge is zero?

Question 8 (10 points) Given  Compute then use it to determine if the vector field is conservative.  Be sure to explain your response. A yes or no response is insufficient.  Find