Consider the loading scenario for the bending beam ABCD shown in the figure below:

Select the individual beam loading cases from this table that you would use to represent the loading scenario through the method of superposition:

A steel beam with a rectangular cross-section is pin-supported at one end and hanged with an aluminium rod of diameter (25 mm) on the other. If the beam is loaded as shown in the figure below, and P=13 kN, w_o=16 kN/m, b = 120 mm, t = 105 mm, L = 2 m and h = 1.2 m

Steel: E = 200 GPa

Aluminium: E = 69 GPa

Determine the deflection of the beam at x = 0.7m as measured from A. 

1.3 Determine the deflection at x = 3.7 m. Report to 3 significant figures. Upwards deflection should be reported as a positive value.

1.2 Determine the slope at x = 2.4 m. Report to 2 significant figures.

A beam with simple supports at B and E is loaded as shown. Given that 𝑃₁=11kN, 𝑃₂=9kN, 𝑃₃=10kN, 𝑤₁=18kN/m, 𝑤₂=24kN/m, 𝑎=𝑏=𝑐=1m, 𝑑=𝑒=2m, and 𝑓=0.4m,

𝐸𝐼=20×10³ kNm²

(a) Calculate reaction force at E.

A steel  (E = 200 GPa,v = 0.29) bar of diameter 17 mm is subjected to a torque 2.1 kNm and a tensile axial load of 16 kN as shown in the figure below. 

Two strain gauges (K = 2.0) are bonded to the bar in the Poisson configuration and connected into a Wheatstone half-bridge configuration using arms 1 and 2, as indicated.

The bridge input voltage is 9 V.

3.1. Calculate the output voltage.

3.2 Calculate the axial strain.

3.4. Calculate the shear strain.

3.3 Calculate the circumferential strain

2.2 Calculate the stress in the brass post.