Calculate the maximum deflection of the following beam in millimetres (mm). Assume the beam is made of steel with E = 200 000 MPa

Please write your answer to 2 decimal places, do not include units in your answer and consider a downwards deflection to be positive.

The formula for the deflection at the tip of a cantilever beam δ = PL³/3EI where a positive deflection here indicates a downwards deflection. 

The beam shown has a yield stress equal to 319MPa.  What is the maximum moment the beam can carry when bending about the xx axis?

Present you answer in units of kNm to one decimal place, but do NOT include the units in your answer

The beam shown (dimensions in mm) has a yield stress equal to 335MPa.  

Based on using the bending stress formula σ = My/I, what is the maximum moment the beam can carry assuming the beam is bending about the horizontal axis?

Present you answer in units of kNm to one decimal place, and do NOT include any units in your answer

Where is the exact location of the maximum tension bending stress for the following beam, assuming the BMD is drawn to scale and the cross section is symmetrical?

Remember the positive axis for beam bending is vertically down down and a positive moment equates  to the beam have a sagging/concave deflected shape while a negative moment equates to the beam have a hogging deflected shape.

For the beam shown, when bending about the horizontal axis and using the bending stress formula σ=My/I, what value of 'y' would you use if you wanted to calculate:

Exclude units from your answers

Based on the known relationship between load-and-shear (w=dV/dx) and shear-and-moment (V=dM/dx) calculate the value of:

Based on the known relationship between shear-and-moment  (V=dM/dx) calculate the value of:

For the following beam at all 5 locations (A-E) indicate which surface of the beam is experiencing tension (stretching).  The red line represents the deflected shape of the beam under the loading shown.

What shape does the following load give to a bending moment diagram - assuming there is load on other parts of the beam?

Based on the known relationship between load and shear, use the SFD diagram below to calculate the actual value of the load w1 (kN/m) on the beam. 

Provide your answer to the nearest integer without units.