Gce Model Questions Vol1 2018 Further Mathematics Question 42

Practice objective / multiple choice question 42 from the 2018 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2018 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 42 GCE_MODEL_QUESTIONS_VOL1 • 2018 • FURTHER_MATHEMATICS • objective

A simply supported beam AB of length \(8\ \text{m}\) has a hinge at \(A\) and a roller at \(B\). A vertical point load of \(10\ \text{kN}\) acts at a distance \(3\ \text{m}\) from \(A\). In addition, a uniformly distributed load of intensity \(2\ \text{kN/m}\) acts over the right‑hand half of the beam (from \(x=4\ \text{m}\) to \(x=8\ \text{m}\)).\n(a) Determine the vertical reaction at support \(A\).\n(b) Find the internal bending moment at the section located \(5\ \text{m}\) from \(A\).\n(c) A vertical support is added at point \(C\) situated \(5\ \text{m}\) from \(A\). The support is such that the bending moment at \(C\) is zero. Compute the upward reaction at \(C\).

Answer Options

A. 9.6 kN
B. 12.0 kN
C. 8.4 kN
Correct Answer D. 10.8 kN
Correct Answer
D
Correct Option:
10.8 kN

About This Question

This is Gce Model Questions Vol1 2018 Further Mathematics Question 42. It is one of the objective questions from the 2018 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Hard .

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