The member forces within a statically indeterminate truss are characterized by____________________?
Show answer Hide answer
Answer: B. cannot be obtained by graphic statics
Explanation
Statically indeterminate trusses possess more unknown member forces than available static equilibrium equations. Graphic statics relies entirely on standard equilibrium conditions which are insufficient for solving these extra unknowns. Advanced compatibility methods or material deformation analysis must be used instead of basic graphical techniques. A truss is statically determinate when member forces can be found using equations of equilibrium alone. Indeterminacy introduces redundancy requiring consideration of material elasticity and member stiffness properties. Graphic statics provides visual solutions but breaks down when structural redundancy exceeds available equations.
Modern continuous bridges and complex spatial domes are typically statically indeterminate for structural efficiency. Engineers use computer matrix methods rather than graphic statics to solve highly redundant indeterminate structures. Understanding structural determinacy prevents incorrect analytical approaches during professional design tasks. Option A is incorrect because graphic statics cannot resolve internal redundancies without compatibility equations. Option C is false as basic graphic statics is fundamentally incapable of solving indeterminate systems directly. Option D is wrong because trial and error methods still violate the mathematical limitation of insufficient equilibrium equations.
- Subject
- Engineering
- Category
- Civil Engineering
- Topic
- —
- Difficulty
- medium
Related questions
Q1. A closed force polygon depicting a system in equilibrium forms_____________________?
Show answer Hide answer
Answer: C. closed polygon
Static equilibrium requires that the vector sum of all coplanar forces equals zero in every direction. Connecting these force vectors sequentially end-to-end forms a continuous geometric shape that returns to its startin...
Q2. Where does the maximum tension occur in a horizontally level cable subjected to a uniformly distributed load_____________________?
Show answer Hide answer
Answer: A. supports
For a horizontally level cable supporting a uniformly distributed load, the maximum tension occurs at the supports where the slope is steepest. At the support anchorages, the cable tangent angle reaches its maximum value...
Q3. Calculate the upper limit of the horizontal range for a projectile launched at 98 m/sec__________________?
Show answer Hide answer
Answer: C. 980 m
Maximum horizontal range for a projectile launched from ground level occurs at a forty-five degree launch angle. Squaring the initial velocity and dividing by gravitational acceleration yields the maximum possible range...
Q4. What is the speed proportion between a rolling cylinder and a sliding cylinder_______________?
Show answer Hide answer
Answer: A. less than 1
Rolling cylinders partition their initial kinetic energy into both translational motion and rotational spinning. Sliding cylinders convert all available potential energy purely into translational linear kinetic energy wi...
Q5. What is the ratio comparing the force unit in the gravitational framework to that in the absolute framework__________________?
Show answer Hide answer
Answer: B. g
The gravitational unit of force is related to the absolute unit of force by a factor equal to the acceleration due to gravity, g. In gravitational systems, force units like kilogram-force represent the weight of a standa...
Q6. The potential energy experienced by a mass falling through a straight diametrical shaft bored across the Earth (modelled as a uniform sphere) varies as____________________?
Show answer Hide answer
Answer: C. r2
Gravitational force inside a uniform solid sphere varies linearly with the radial distance from the center. Integrating a linearly varying force with respect to displacement yields a quadratic potential energy function....