deviation from tangent

Situation
A cantilever beam, 3.5 m long, carries a concentrated load, P, at mid-length.

Given:
P = 200 kN
Beam Modulus of Elasticity, E = 200 GPa
Beam Moment of Inertia, I = 60.8 × 10⁶ mm⁴

1. How much is the deflection (mm) at mid-length?

A. 1.84	C. 23.50
B. 29.40	D. 14.70

2. What force (kN) should be applied at the free end to prevent deflection?

A. 7.8	C. 62.5
B. 41.7	D. 100.0

3. To limit the deflection at mid-length to 9.5 mm, how much force (kN) should be applied at the free end?

A. 54.1	C. 129.3
B. 76.8	D. 64.7

Problem 735 | Fixed-ended beam with one end not fully restrained

Problem 735
The beam shown in Fig. P-735 is perfectly restrained at A but only partially restrained at B, where the slope is w_oL³/48EI directed up to the right. Solve for the end moments.

Problem 734 | Restrained beam with uniform load over half the span

Problem 734
Determine the end moments for the restrained beams shown in Fig. P-734.

Problem 733 | Cantilever beam with moment load at the free end and supported by a rod at midspan

Problem 733
The load P in Prob. 732 is replaced by a counterclockwise couple M. Determine the maximum value of M if the stress in the vertical rod is not to exceed 150 MPa.

Problem 722 | Propped beam with moment load on the span by area-moment method

Problem 722
For the beam shown in Fig. P-722, compute the reaction R at the propped end and the moment at the wall. Check your results by letting b = L and comparing with the results in Problem 707.