Exam #2 · Created by User CE-HHCRM on Sep 29, 2026 · 1:36 PM
15 items · 60 minute time limit
A symmetric triangular truss spans \( 4\ \text{m} \) between a pin support at \( A \) and a roller support at \( B \), with apex \( C \) located at mid-span and a height of \( 1.5\ \text{m} \) above \( AB \). A single vertical load \( P = 33\ \text{kN} \) is applied at joint \( C \) as shown.
What is the vertical reaction at each support, \( R_A \) and \( R_B \) (in kN)?
What is the compressive force in each inclined member, \( AC \) and \( BC \) (in kN)?
What is the tensile force in the bottom chord, \( AB \) (in kN)?
A block weighing \( W = 322\ \text{N} \) rests on a plane inclined at \( \theta = 30^\circ \) to the horizontal as shown. The coefficient of static friction between the block and the plane is \( \mu_s = 0.65 \).
What is the normal force \( N \) acting on the block (in N)?
What friction force \( f \) is required to keep the block in equilibrium (in N)?
What is the factor of safety against sliding?
A simply supported beam \( AB \), span \( L = 4\ \text{m} \), carries a uniformly distributed load \( w = 6\ \text{kN/m} \) over its entire length.
What is the reaction at each support (in kN)?
What is the maximum bending moment, at midspan (in kN·m)?
What is the shear force at a quarter-span from support A (in kN)?
A steel rod \( 20\ \text{mm} \) in diameter and \( 2\ \text{m} \) long is subjected to an axial tensile load \( P = 12\ \text{kN} \). Use \( E = 200\ \text{GPa} \) for steel.
What is the axial stress in the rod (in MPa)?
What is the axial strain (in microstrain, \( \times 10^{-6} \))?
What is the total elongation of the rod (in mm)?
A cantilever beam, fixed at \( A \) and free at \( B \), has a length \( L = 2\ \text{m} \) and carries a concentrated load \( P = 11\ \text{kN} \) at the free end \( B \). Use \( E = 200\ \text{GPa} \) and \( I = 80\times10^{6}\ \text{mm}^4 \).
What is the slope at the free end \( B \) (in radians)?
What is the deflection at the free end \( B \) (in mm)?
What is the deflection at midspan (in mm)?